WO2020110380A1 - Projection optical system and projection device - Google Patents
Projection optical system and projection device Download PDFInfo
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- WO2020110380A1 WO2020110380A1 PCT/JP2019/032307 JP2019032307W WO2020110380A1 WO 2020110380 A1 WO2020110380 A1 WO 2020110380A1 JP 2019032307 W JP2019032307 W JP 2019032307W WO 2020110380 A1 WO2020110380 A1 WO 2020110380A1
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- projection optical
- projection
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/16—Optical objectives specially designed for the purposes specified below for use in conjunction with image converters or intensifiers, or for use with projectors, e.g. objectives for projection TV
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B13/00—Optical objectives specially designed for the purposes specified below
- G02B13/18—Optical objectives specially designed for the purposes specified below with lenses having one or more non-spherical faces, e.g. for reducing geometrical aberration
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B15/00—Optical objectives with means for varying the magnification
- G02B15/14—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective
- G02B15/16—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group
- G02B15/163—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group having a first movable lens or lens group and a second movable lens or lens group, both in front of a fixed lens or lens group
- G02B15/167—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group having a first movable lens or lens group and a second movable lens or lens group, both in front of a fixed lens or lens group having an additional fixed front lens or group of lenses
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B15/00—Optical objectives with means for varying the magnification
- G02B15/14—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective
- G02B15/16—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group
- G02B15/20—Optical objectives with means for varying the magnification by axial movement of one or more lenses or groups of lenses relative to the image plane for continuously varying the equivalent focal length of the objective with interdependent non-linearly related movements between one lens or lens group, and another lens or lens group having an additional movable lens or lens group for varying the objective focal length
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- G—PHYSICS
- G03—PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
- G03B—APPARATUS OR ARRANGEMENTS FOR TAKING PHOTOGRAPHS OR FOR PROJECTING OR VIEWING THEM; APPARATUS OR ARRANGEMENTS EMPLOYING ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ACCESSORIES THEREFOR
- G03B21/00—Projectors or projection-type viewers; Accessories therefor
- G03B21/14—Details
Definitions
- the present invention relates to a projection optical system and a projection device that magnify and project an image displayed on an image display surface, and for example, to a projection device that performs large-screen projection at a short distance, and a projection optical system optimal for the projection device. ..
- Patent Documents 1 and 2 propose a projection optical system suitable for a projection device that performs large-screen projection at a short distance, but this problem has not been solved.
- the power arrangement of the second optical system that performs zooming is not appropriate, so the magnifying lens and the intermediate image are large, and the lens is large.
- the power arrangement of the second optical system that performs zooming is not appropriate, the lens diameters of the magnifying lens and the second optical system are large, and the lens is large.
- the present invention has been made in view of the above circumstances, and an object thereof is to provide a compact and high-performance projection optical system with a wide angle of view that enables large-screen projection in a short distance, and a projection optical system including the same. To provide a projection device.
- the projection optical system of the present invention is a projection optical system for enlarging and projecting an image displayed on an image display surface, Having the first optical system and the second optical system on the same optical axis in order from the enlargement side,
- the second optical system forms an intermediate image
- the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more
- Only the second optical system has a moving group that moves for zooming,
- the position PA When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are located in the entire zoom range.
- None of the moving groups includes the position PA, Of the plurality of moving groups, if the moving group on the most expanding side is the 2-2nd group and the moving group located adjacent to the reducing side of the 2-2nd group is the 2-3 group, It is characterized in that both the group 2-2 and the group 2-3 have a positive refractive power and satisfy the following conditional expression (1). 0.1 ⁇ f2/f3 ⁇ 1.3 (1) However, f2: focal length of the second-second lens group, f3: focal length of the second-third group, Is.
- a projection device of the present invention comprises an image display element having the image display surface, and the projection optical system of the present invention for enlarging and projecting an image displayed on the image display surface onto a screen surface. ..
- the second optical system that forms the intermediate image has the characteristic moving group, it is possible to achieve both a wide angle of view and a small size while maintaining the projection performance. .. Therefore, it is possible to realize a compact and high-performance projection optical system having a wide angle of view, which enables large-screen projection at a short distance, and a projection apparatus including the projection optical system.
- FIG. 3 is an optical configuration diagram of the first embodiment (Example 1).
- FIG. 6 is a bending configuration diagram showing bending of an optical path in the first embodiment (Example 1).
- FIG. 6 is a bending configuration diagram showing bending of an optical path in the second mode for embodying the present invention (embodiment 2).
- flexion block diagram which shows bending of the optical path in 3rd Embodiment (Example 3).
- FIG. 9 is a bending configuration diagram showing bending of an optical path in a fourth embodiment (Example 4).
- 6 is an aberration diagram of Example 1.
- FIG. FIG. 6 is an aberration diagram of Example 2.
- FIG. 9 is an aberration diagram of Example 3.
- 16 is an aberration diagram of Example 4.
- a projection optical system magnifies an image displayed on an image display surface of an image display device (for example, a digital micromirror device, an LCD (liquid crystal display), etc.).
- a projection optical system for projecting having a first optical system and a second optical system on the same optical axis in order from the enlargement side, the second optical system forms an intermediate image, and the first optical system The intermediate image is magnified and projected at an angle of view of 70° or more, and only the second optical system has a moving group that moves for zooming.
- the plurality of moving groups are located on the enlargement side with respect to the position PA, and in the entire zooming range. None of the plurality of moving groups includes the position PA, the moving group on the most enlarged side of the plurality of moving groups is the 2-2nd group, and the moving group is adjacent to the reducing side of the 2-2nd group. If the moving group to be moved is the 2-3 group, both the 2-2 group and the 2-3 group have a positive refractive power, and the following conditional expression (1) is satisfied. .. 0.1 ⁇ f2/f3 ⁇ 1.3 (1) However, f2: focal length of the second-second lens group, f3: focal length of the second-third group, Is.
- the "magnification side” is the direction of the screen surface (magnification side image plane) on which the magnified optical image is projected (so-called front side), and the opposite direction is the "reduction side", that is, the original optical image is displayed as an image. This is the direction (so-called rear side) in which an image display element (for example, a digital micromirror device) to be displayed on the surface (reduction side image surface) is arranged.
- an image display element for example, a digital micromirror device
- the magnification is changed only by the second optical system having a small lens diameter on the image display element side, and the position is closer to the enlargement side than the position PA which has little influence on the telecentricity.
- the off-axis ray passage in the 2-2nd group and the 2-3rd group can be increased, and off-axis aberrations, especially field curvature, can be corrected more efficiently.
- Conditional expression (1) defines a suitable condition range for correcting off-axis aberrations, particularly field curvature, on the magnification side of the position PA in the second optical system. If the upper limit of conditional expression (1) is exceeded, the refracting power of the second-third lens group becomes too large with respect to the second-second lens group, and the off-axis ray passage position in the second lens group becomes low. It becomes difficult to correct aberrations, especially field curvature. When the value goes below the lower limit of the conditional expression (1), the refractive power of the second-second lens unit, which is a moving lens group, becomes too large, so that off-axis aberrations due to zooming, especially fluctuations in field curvature, become large. Therefore, if the conditional expression (1) is satisfied, it is possible to achieve a wide angle of view while maintaining good off-axis performance.
- the second optical system that forms the intermediate image has a configuration that has a characteristic moving group, so that a wide angle of view and a small size can be achieved while maintaining the projection performance. Can be compatible. Therefore, it is possible to realize a compact and high-performance projection optical system with a wide angle of view that enables large-screen projection in a short distance. If the projection optical system is used in a projection device, it can contribute to high performance, high functionality, compact size, etc. of the projection device. The conditions for achieving such effects in a well-balanced manner and achieving higher optical performance and size reduction will be described below.
- conditional expression (1a) defines a preferable conditional range based on the above viewpoints among the conditional range defined by the conditional expression (1). Therefore, preferably, by satisfying conditional expression (1a), it is possible to further enhance the effect.
- the 2-4th group having a positive refractive power as the moving group on the reduction side of the position PA. If the zooming effect is shared by using the second-fourth lens group, the moving amount of the second-second lens group can be reduced. As a result, it is possible to further reduce off-axis aberrations due to zooming, especially fluctuations in field curvature. Further, since the second-fourth lens group has a positive refractive power, it becomes easy to maintain the telecentricity.
- Conditional expression (2) defines a preferable focal length of the second to fourth lens groups. If the upper limit of conditional expression (2) is exceeded, the refracting power of the second-fourth lens unit will become too small, which tends to make it difficult to ensure telecentricity. That is, by ensuring the refractive power of the second-fourth lens group so as not to exceed the upper limit of the conditional expression (2), it becomes possible to advantageously ensure the telecentricity. When the value goes below the lower limit of the conditional expression (2), the refractive power of the second-fourth lens unit becomes excessively large, which tends to cause off-axis aberrations due to zooming, particularly fluctuations in field curvature.
- conditional expression (2) by suppressing the refracting power of the second-fourth lens unit so as not to fall below the lower limit of the conditional expression (2), it is possible to advantageously reduce off-axis aberrations due to zooming, especially fluctuations in field curvature. Become. Therefore, by satisfying the conditional expression (2), it becomes possible to satisfactorily balance the assurance of telecentricity and the correction of off-axis aberrations.
- conditional expression (2a) defines a more preferable conditional range based on the above viewpoints and the like among the conditional ranges defined by the conditional expression (2). Therefore, preferably, by satisfying conditional expression (2a), it is possible to further enhance the effect.
- a 2-1st group whose position is fixed at the time of zooming, on the most magnifying side in the second optical system.
- the off-axis aberrations, especially the field curvature, of the 2-1st group in addition to the 2-2nd group and the 2-3rd group. Can be corrected, and a better projection performance can be obtained. Further, by fixing the position at the time of zooming, it is possible to suppress the variation of off-axis aberration due to zooming, in particular, the curvature of field.
- the 2-1st group has a negative refractive power. Since the 2-1st lens unit has a negative refracting power, it is possible to increase the off-axis ray passing position in the 2-2nd lens unit, and more efficiently correct the off-axis aberration, especially the field curvature. It becomes possible.
- Conditional expression (3) defines the preferable refractive power of the 2-1st lens group. If the upper limit of conditional expression (3) is exceeded, the refracting power of the 2-1st lens group will become too large, which tends to cause off-axis aberrations occurring in the 2-1st lens group, in particular, field curvature. Becomes difficult. That is, by suppressing the refracting power of the 2-1st lens unit so as not to exceed the upper limit of the conditional expression (3), it becomes advantageous to correct the off-axis aberration generated in the 2-1st lens group, particularly the field curvature.
- the refractive power of the 2-1st lens group becomes too small, which tends to lower the off-axis ray passing position in the 2nd lens group. It becomes difficult to correct external aberration, especially curvature of field. That is, by ensuring the refractive power of the 2-1st lens group so that the lower limit of conditional expression (3) is not exceeded, it is possible to prevent the off-axis ray passing position in the 2-2nd lens group from becoming low, This is advantageous for correction of off-axis aberrations, especially field curvature. Therefore, by satisfying the conditional expression (3), it is possible to achieve a wide angle of view while keeping the off-axis performance more favorable.
- conditional expression (3a) defines a more preferable conditional range based on the above viewpoints among the conditional range defined by the conditional expression (3). Therefore, preferably, by satisfying conditional expression (3a), it is possible to further enhance the effect.
- the 2-1st lens group consists of two lenses, positive and negative, from the magnification side. If the 2-1st lens unit is configured with the minimum number of lenses in this way, it is possible to arrange the 2nd lens unit 2-2 near the enlargement side, and it is possible to more effectively correct the field curvature. Further, when the positive and negative lenses are arranged in this order from the magnification side, it is possible to increase the off-axis ray passing position of the magnifying lens relatively effective against off-axis aberrations in the negative 2-1 group in which the off-axis ray passing position tends to decrease. This makes it possible to further correct off-axis aberrations, especially field curvature.
- the first optical system has an aspherical surface.
- an aspherical surface it is possible to effectively correct off-axis aberrations generated in the first optical system, particularly distortion and field curvature, and it is also possible to reduce the diameter of the first optical system. Specifically, it is possible to correct distortion more effectively by placing an aspherical surface closer to the magnification side, and more effective field curvature by placing an aspherical surface closer to the intermediate image. It becomes possible to correct.
- FIG. 1 to 4 are optical configuration diagrams respectively corresponding to the projection optical system LN that constitutes the first to fourth embodiments, and FIGS. 5 to 8 show the optical configurations in the first to fourth embodiments.
- FIG. 3 is a bending configuration diagram showing bending of an optical path.
- the lens cross-sectional shape, lens arrangement, optical path, etc. of the projection optical system LN which is a zoom lens, are shown in optical cross sections at the wide-angle end (W) and the telephoto end (T), respectively. There is.
- the prism PR eg, TIR (Total Internal Reflection) prism, color separation/combination prism, etc.
- the cover glass CG of the image display element are arranged in a fixed position on the reduction side of the projection optical system LN during zooming.
- these can be appropriately changed according to the projection device mounted.
- the projection optical system LN of the first to third embodiments is suitable for performing the three-single-plate color image projection
- the projection optical system of the fourth embodiment is suitable for performing the single-plate color image projection.
- the optical system LN is suitable, but the projection method is not limited to these.
- the projection optical system LN of the first to fourth embodiments has a first optical system LN1 (from the first surface to the front of the intermediate image plane IM1) in order from the enlargement side.
- the second optical system LN2 (from the intermediate image plane IM1 to the final lens surface), and the intermediate image IM1 of the image (reduction side image plane) displayed on the image display surface IM2 of the image display device is formed by the second optical system.
- the system LN2 is formed, and the intermediate image IM1 is substantially telecentric on the reduction side, in which the first optical system LN1 magnifies and projects the image IM1 at an angle of view of 70° or more.
- the projection optical system LN of the first to fourth embodiments has the first optical system LN1 and the second optical system LN2 on the same optical axis AX, but the optical axis AX is bent by 90°.
- the reflective optical element RD (FIGS. 5 to 8) can be arranged at the maximum air space in the first optical system LN1. Specific examples of the reflective optical element RD for bending the optical path include a plane mirror and a triangular prism.
- the lens system is likely to be long. Therefore, by arranging the reflective optical element RD in the first optical system LN1, the projection optical system LN is bent into an L-shaped bending optical system. With the system, it is possible to effectively achieve compactness of the entire projection optical system LN.
- the position of the first optical system LN1 is fixed during zooming, and zooming is performed only by the second optical system LN2. That is, only the second optical system LN2 has a moving group that moves for zooming, and the moving group is moved relative to the image display surface IM2 to change the group spacing on the axis. As a result, it is configured to perform zooming (that is, zooming) from the wide-angle end (W) to the telephoto end (T).
- Zooming that is, zooming
- Arrows m1, m2-1, m2-2, m2-3, m2-3-1, m2-4, mE in FIGS. 1 to 4 indicate zooming from the wide-angle end (W) to the telephoto end (T).
- First optical system LN1 fixed group
- 2-1 group Gr2-1 fixed group
- 2-2 group Gr2-2 moving group
- 2-3 group Gr2-3 moving group
- the movements or fixations of the 2-3-1 group Gr2-3-1 fixed group
- the 2-4th group Gr2-4 moving group
- the final group GrE fixed group
- the position where the axial principal ray and the off-axis principal ray intersect in the second optical system LN2 is the position PA, and the second-second group Gr2-2 and the second lens group Gr2-2 are located closer to the enlargement side than the position PA.
- the third group Gr2-3 is located.
- the second-second group Gr2-2 is the moving group closest to the expansion side
- the second-third group Gr2-3 is a moving group located adjacent to the reduction side of the second-second group Gr2-2.
- the second-second lens unit Gr2-2 and the second-third lens unit Gr2-3 both have a positive refractive power and do not include the position PA in the entire zooming range.
- the second-fourth group Gr2-4 having a positive refractive power is arranged as a moving group on the reduction side of the position PA.
- the second optical system LN2 has the negative refracting power on the most magnification side and has the zoom position fixed (that is, position fixed during zooming) 2-1.
- the group Gr2-1 is located, and in the first to fourth embodiments, the final group GrE that has a positive refractive power and has a fixed zoom position is arranged on the most reduction side in the second optical system LN2. Is located. Further, in the third embodiment, the 2-3-1 group Gr2-3 that has a negative refractive power between the 2-3rd group Gr2-3 and the position PA and has a fixed zoom position. -1 is located.
- the aperture stop ST is located at the position PA, and the zoom position of the aperture stop ST is integral with the group positioned adjacent to the reduction side thereof. That is, in the first, third, and fourth embodiments, the zoom position of the aperture stop ST moves integrally with the second-fourth group Gr2-4 located adjacent to the reduction side thereof, and the second embodiment Then, the zoom position of the aperture stop ST is fixed integrally with the final group GrE located adjacent to the reduction side thereof.
- FIG. 13 shows a schematic configuration example of the projector PJ as an example of the projection device.
- the projector PJ includes a light source 1, an illumination optical system 2, a reflection mirror 3, a prism PR, an image display element (image forming element) 4, a controller 5, an actuator 6, a projection optical system LN, and the like.
- the control unit 5 is a unit that controls the overall control of the projector PJ.
- the image display element 4 is an image modulation element (for example, a digital micromirror device) that modulates light to generate an image, has an image display surface IM2 that displays an image, and the image display surface IM2.
- a cover glass CG is provided on the top.
- the prism PR is, for example, a TIR prism (a color separation/combination prism or the like) and separates illumination light and projection light.
- the image light formed by the image display element 4 is enlarged and projected by the projection optical system LN toward the screen surface SC. That is, the image IM2 displayed on the image display element 4 becomes an intermediate image IM1 by the second optical system LN2, and then is enlarged and projected on the screen surface SC by the first optical system LN1.
- the projector PJ includes the image display element 4 that displays an image, the light source 1, the illumination optical system 2 that guides the light from the light source 1 to the image display element 4, and the image display surface of the image display element 4.
- the projection optical system LN for enlarging and projecting the image displayed on IM2 is projected on the screen surface SC
- the projection apparatus to which the projection optical system LN is applicable is not limited to this.
- an image display element that displays an image by light emission of the image display surface IM2 itself it is possible to eliminate the need for illumination, and in that case, the projection device is configured without using the light source 1 or the illumination optical system 2. It is possible to
- the actuators 6 that move the lens to the enlargement side or the reduction side along the optical axis AX are connected to the lens groups that move for zooming and focusing in the projection optical system LN.
- a control unit 5 for controlling the movement of the moving group is connected to the actuator 6. It should be noted that the control unit 5 and the actuator 6 may be manually moved without using them.
- the second optical system forms an intermediate image
- the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more
- Only the second optical system has a moving group that moves for zooming, When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are arranged in the entire zoom range.
- None of the moving groups includes the position PA, Of the plurality of moving groups, if the moving group on the most enlarged side is the 2-2nd group, and the moving groups adjacent to the reducing side of the 2-2nd group are the 2-3rd group, A projection optical system characterized in that both the 2-2 group and the 2-3 group have a positive refractive power and satisfy the following conditional expression (1); 0.1 ⁇ f2/f3 ⁇ 1.3 (1) However, f2: focal length of the second-second lens group, f3: focal length of the second-third group, Is.
- (#2) The projection optical system according to (#1), characterized in that it has, as the moving group, a 2-4 group having a positive refractive power on the reduction side of the position PA.
- the second optical system is characterized in that it has a positive refractive power on the most reduction side in the second optical system, and has a final group whose position is fixed during zooming (#1) to (#3).
- the projection optical system according to any one of 1).
- (#5) In any one of (#1) to (#4), characterized in that it has a 2-1st group whose position is fixed at the time of zooming on the most magnifying side in the second optical system.
- (#7) The projection optical system according to (#5) or (#6), characterized by satisfying the following conditional expression (3); -3 ⁇ f1/f2 ⁇ -1 (3) However, f1: the focal length of the 2-1st lens group, f2: focal length of the second-second lens group, Is.
- (#10) The projection optical system according to (#9), characterized in that it has a positive lens on the magnification side of the aspherical surface on the most magnification side in the first optical system.
- (#11) Any one of (#1) to (#10), characterized in that a reflective optical element that bends the optical axis by 90° is arranged at the maximum air space in the first optical system.
- Examples 1 to 4 (EX1 to 4) given here are numerical examples corresponding to the above-described first to fourth embodiments, respectively, and are optical configuration diagrams showing the first to fourth embodiments. (FIGS. 1 to 4) and bending configuration diagrams (FIGS. 5 to 8) respectively show the lens cross-sectional shapes, lens arrangements, optical paths, etc. of the corresponding Examples 1 to 4.
- the surface marked with * on the surface number i is an aspherical surface, and its surface shape is defined by the following equation (AS) using a local orthogonal coordinate system (x, y, z) with the surface vertex as the origin. It As aspherical surface data, an aspherical surface coefficient and the like are shown. In the aspherical surface data of each example, the coefficient of a term not shown is 0, and all data are en ⁇ ⁇ 10 ⁇ n .
- z (c ⁇ h 2 )/[1+ ⁇ 1-(1+K) ⁇ c 2 ⁇ h 2 ⁇ ]+ ⁇ (Aj ⁇ h j )...(AS)
- z sag amount in the direction of the optical axis AX at the position of height h (reference to surface vertex)
- c curvature at the surface apex (reciprocal of curvature radius r)
- K conic constant
- Aj j-th order aspherical coefficient, Is.
- zoom ratios zoom ratios, variable power ratios
- the focal lengths of the entire system focal length states W (Wide), M (Middle), T (Tele) are shown.
- Fl, mm F number (Fno.), half angle of view ( ⁇ , °), image height (ymax, mm), total lens length (TL, mm), back focus (BF, mm), and variable surface spacing ( di, i: surface number, mm) and the focal length (mm) of each lens group as zoom lens group data (here, the 2-1st group Gr2-1 is integrated with the first optical system LN1. Shown as a lens group.).
- the distance from the final lens surface to the paraxial image plane is expressed by the air-converted length, and the total lens length TL is the distance from the frontmost lens surface to the final lens surface plus the back focus BF. It is a thing.
- the image height ymax corresponds to half the diagonal length of the image display surface IM2.
- Table 1 shows the values corresponding to the conditional expressions and their related data for each example.
- conditional expression related data the focal length fw (mm) of the entire system at the wide-angle end W, the focal length fL1 (mm) of the first optical system LN1, and the focal length fL2w of the second optical system LN2 at the wide-angle end W are shown.
- Mm focal length f1 (mm) of second-first lens unit Gr2-1, focal length f2 (mm) of second-second lens unit Gr2-2, focal length f3 (mm of second-third lens unit Gr2-3) ), the focal length f3-1 (mm) of the 2-3-1st lens unit Gr2-3-1, the focal length f4 (mm) of the 2-4th lens unit Gr2-4, and the focal length fE (mm) of the final lens unit GrE.
- 9 to 12 are aberration diagrams (longitudinal aberration diagrams in the infinity in-focus state) corresponding to Examples 1 to 4 (EX1 to EX4), respectively, and (A) to (C) are wide-angle ends.
- W and (D) to (F) show the intermediate focal length state M
- (G) to (I) show various aberrations at the telephoto end T, respectively.
- 9 to 12 (A), (D) and (G) are spherical aberration diagrams, (B), (E) and (H) are astigmatism diagrams, and (C), (F), (I) is a distortion diagram.
- the screen surface (projection surface) SC is originally the image surface and the image display surface IM2 is the object surface.
- each is a reduction system, and the screen surface SC is regarded as an object surface (object), and the optical performance is evaluated by the image display surface (reduction side image surface) IM2 corresponding to the image surface (image).
- the spherical aberration diagram shows the spherical aberration amount for the d line (wavelength 587.56 nm) indicated by the solid line, the spherical aberration amount for the C line (wavelength 656.28 nm) indicated by the alternate long and short dash line, and the g line (wavelength 435.84 nm) indicated by the broken line.
- the amount of spherical aberration is expressed by the amount of deviation (unit: mm) in the optical axis AX direction from the paraxial image plane, and the vertical axis represents the value obtained by normalizing the entrance height to the pupil by its maximum height (that is, Relative pupil height).
- the broken line T represents the tangential image plane with respect to the d-line
- the solid line S represents the sagittal image plane with respect to the d-line by the amount of deviation (unit: mm) in the optical axis AX direction from the paraxial image plane.
- the vertical axis represents the image height (IMG HT, unit: mm).
- the horizontal axis represents the distortion (unit: %) with respect to the d-line
- the vertical axis represents the image height (IMG HT, unit: mm).
- the projection optical system LN of Example 1 is composed of a total of 33 lens elements, 18 on the enlargement side is the first optical system LN1, 15 on the reduction side is the second optical system LN2, and 2nd
- the optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1.
- the zooming is performed only by the second optical system LN2.
- the 2-1st group Gr2-1 is negative
- the 2-2nd group Gr2-2 is positive
- the five-component zoom lens system has the third lens unit Gr2-3 positive, the second lens unit Gr2-4 positive, and the last lens unit GrE positive.
- the 2-1st group Gr2-1 and the last group GrE are fixed groups, and the positions are fixed (trajectories m2-1, mE) during zooming.
- the second-2 group Gr2-2 moves to the enlargement side along a locus m2-2 that is convex toward the reduction side, and the second-third group Gr2-3
- the second-fourth group Gr2-4 monotonously moves to the enlargement side (movement loci m2-3, m2-4).
- the second-second group Gr2-2 and the second-third group Gr2-3, which are moving groups, are located on the enlargement side of the position PA where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2. Therefore, the moving amount of the second-second lens unit Gr2-2 is the smallest. Further, the 2-1st lens unit Gr2-1 is composed of two positive and negative single lenses from the magnification side.
- the first optical system LN1 (locus m1) of Example 1 magnifies and projects the intermediate image IM1 to an angle of view of 113.6°.
- the first optical system LN1 has, in order from the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, a biconcave negative lens, and an aspherical lens, Further, the second lens from the side of the intermediate image IM1 has an aspherical surface. Further, in the first embodiment, bending projection can be performed by disposing the reflective optical element RD in the maximum air space between the ninth lens and the tenth lens from the enlargement side in the first optical system LN1. Is configured.
- the projection optical system LN of Example 2 is composed of 33 lens elements as a whole, with 18 on the enlargement side being the first optical system LN1, 15 on the reduction side being the second optical system LN2, and 2nd
- the optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1.
- the zooming is performed only by the second optical system LN2.
- the 2-1st group Gr2-1 is negative
- the 2-2nd group Gr2-2 is positive
- the three-group Gr2-3 has a positive zoom
- the final group GrE has a positive four-component zoom.
- the 2-1st group Gr2-1 and the last group GrE are fixed groups, and the positions are fixed (trajectories m2-1, mE) during zooming.
- the second-second group Gr2-2 moves to the reduction side
- the second-third group Gr2-3 moves to the enlargement side (movement locus m2 -2, m2-3).
- the second-second lens unit Gr2-2 is located at the lowest position, and the moving amount is the smallest.
- the 2-1st lens unit Gr2-1 is composed of two positive and negative single lenses from the magnification side.
- the first optical system LN1 (locus m1) of the second embodiment magnifies and projects the intermediate image IM1 to the angle of view of 113.6°.
- the first optical system LN1 includes, in order from the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, and an aspherical lens.
- the second lens from the side of the intermediate image IM1 has an aspherical surface.
- bending projection can be performed by disposing the reflective optical element RD in the maximum air space between the ninth lens and the tenth lens from the enlargement side in the first optical system LN1. Is configured.
- the projection optical system LN of Example 3 is composed of a total of 34 lens elements, 18 on the enlargement side is the first optical system LN1, 16 on the reduction side is the second optical system LN2, and 2nd
- the optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1.
- the zooming is performed only by the second optical system LN2.
- the 2-1st group Gr2-1 is negative
- the 2-2nd group Gr2-2 is positive
- the six-component zoom lens system has the third group Gr2-3 positive, the second group 2-3-1 Gr2-3-1 negative, the second group-4 Gr2-4 positive, and the final group GrE positive.
- the 2-1st group Gr2-1, the 2-3-1st group Gr2-3-1 and the final group GrE are fixed groups, and their positions are fixed during zooming (trajectory m2 -1, m2-3-1, mE).
- the second-second lens unit Gr2-2, the second-third lens unit Gr2-3, and the second-fourth lens unit Gr2-4 move to the enlargement side ( Movement loci m2-2, m2-3, m2-4).
- the second-second group Gr2-2 and the second-third group Gr2-3, which are moving groups, are located on the enlargement side of the position PA where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2. Therefore, the moving amount of the second-second lens unit Gr2-2 is the smallest. Further, the 2-1st lens unit Gr2-1 is composed of two positive and negative single lenses from the magnification side.
- the first optical system LN1 (trajectory m1) of Example 3 projects the intermediate image IM1 in an enlarged manner at an angle of view of 113.5°.
- the first optical system LN1 has, in order from the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, a biconcave negative lens, and an aspherical lens, Further, the second lens from the side of the intermediate image IM1 has an aspherical surface. Further, in the third embodiment, bending projection can be performed by disposing the reflective optical element RD in the maximum air space between the ninth lens and the tenth lens from the enlargement side in the first optical system LN1. Is configured.
- the projection optical system LN of Example 4 is composed of a total of 30 lens elements, 17 on the enlargement side are the first optical system LN1, 13 on the reduction side are the second optical system LN2, and 2nd
- the optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1.
- the zooming is performed only by the second optical system LN2.
- the second-second group Gr2-2 is positive
- the second-third group Gr2-3 is positive
- the second-second group LN2 is second in order from the enlargement side.
- the fourth group Gr2-4 has a positive four-component zoom and the final group GrE has a positive four-component zoom.
- the final group GrE is a fixed group, and the position is fixed (trajectory mE) during zooming.
- the second-second lens unit Gr2-2, the second-third lens unit Gr2-3, and the second-fourth lens unit Gr2-4 move to the enlargement side ( Movement loci m2-2, m2-3, m2-4).
- the second-second group Gr2-2 and the second-third group Gr2-3, which are moving groups, are located on the enlargement side of the position where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2. Therefore, the moving amount of the second-second lens unit Gr2-2 is the smallest.
- the first optical system LN1 (trajectory m1) of the fourth embodiment magnifies and projects the intermediate image IM1 to the angle of view of 100.3°.
- the first optical system LN1 includes, in order from the magnification side, a negative meniscus lens convex on the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, and a negative meniscus lens convex on the magnification side. And, and does not have an aspherical surface.
- bending projection can be performed by disposing the reflective optical element RD at the maximum air space between the eighth lens and the ninth lens from the enlargement side in the first optical system LN1. Is configured.
- Example 1 Unit mm Surface data i r d nd vd object(SC) infinity infinity 1 347.535 10.446 1.51680 64.20 2 1843.970 0.609 3 157.545 5.200 1.58913 61.25 4 37.856 22.165 5 -134.446 3.000 1.63854 55.45 6 107.986 4.420 7* 706.256 6.160 1.80835 40.55 8 78.641 3.462 9 85.308 2.200 1.91650 31.60 10 36.000 20.723 11 -29.623 3.200 1.84666 23.78 12 -177.291 2.333 13 -173.887 14.166 1.70154 41.15 14 -41.009 0.300 15 2240.582 9.555 1.71736 29.50 16 -98.596 37.767 17 107.255 7.519 1.80518 25.46 18 982.291 72.563 19 -134.636 1.900 1.91650 31.60 20 55.990 1.255 21 51.776 10.730 1.43700 95.10 22
- Zoom lens group data group (plane i) Focal length 1 (1-41) 9.573 2 (42- 47) 67.948 3 (48-53) 174.303 4 (54-66) 163.587 5 (67-72) 166.938
- Example 2 Unit mm Surface data i r d nd vd object(SC) infinity infinity 1 182.621 15.000 1.51680 64.20 2 708.582 0.300 3 218.877 4.700 1.58913 61.25 4 38.592 15.554 5 108.461 3.000 1.63854 55.45 6 28.260 13.059 7* 706.256 6.160 1.80835 40.55 8 78.641 2.829 9 69.184 2.200 1.91650 31.60 10 37.355 17.504 11 -23.624 2.700 1.84666 23.78 12 -77.980 2.600 13 -76.767 11.828 1.70154 41.15 14 -33.454 1.897 15 -540.740 7.100 1.71736 29.50 16 -96.094 0.300 17 99.912 7.841 1.80518 25.46 18 5976.866 74.089 19 -1049.310 1.900 1.91650 31.60 20 52.364 1.238 21 41.676 8.740 1.43700 95.
- Zoom lens group data group (surface i) Focal length 1 (1-41) 10.831 2 (42- 47) 103.006 3 (48-53) 166.532 4 (54- 72) 93.874
- Example 3 Unit mm Surface data i r d nd vd object(SC) infinity infinity 1 297.721 11.365 1.51680 64.20 2 1550.058 0.300 3 166.995 4.700 1.58913 61.25 4 38.112 22.600 5 -123.131 3.000 1.63854 55.45 6 212.675 3.096 7* 706.256 6.160 1.80835 40.55 8 78.641 3.217 9 77.132 2.200 1.91650 31.60 10 32.395 18.329 11 -30.997 2.700 1.84666 23.78 12 -219.887 2.433 13 -188.726 12.515 1.70154 41.15 14 -41.616 15.317 15 infinity 8.758 1.71736 29.50 16 -104.426 0.300 17 132.639 8.422 1.80518 25.46 18 9074.126 83.377 19 -288.764 1.900 1.91650 31.60 20 56.019 1.220 21 50.649 10.514 1.43700
- Zoom lens group data group (surface i) Focal length 1 (1-35) 22.030 2 (36- 41) 105.654 3 (42- 47) 94.377 4 (48-60) 97.318 5 (61-66) 139.720
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Abstract
This projection optical system has movable groups in which a second optical system forms an intermediate image, a first optical system expands and projects the intermediate image at a field angle of at least 70º, and only the second optical system moves for variable expansion. In the second optical system, when a position PA is a position at which the main on-axis beam crosses the main off-axis beam, the plurality of movable groups are positioned closer to the expanded side than the position PA, and all of the plurality of movable groups do not include the position PA in the entire variable expansion region. Among the plurality of movable groups, a 2-2 group on the most expanded side and a 2-3 group positioned adjacent to the contacted side have positive refractivity, and the following conditional equation is satisfied: 0.1<f2/f3<1.3 (f2: focal length of the 2-2 group, and f3: focal length of the 2-3 group).
Description
本発明は画像表示面に表示される画像を拡大投影する投影光学系及び投影装置に関するものであり、例えば、短い距離で大画面投影を行う投影装置と、それに最適な投影光学系に関するものである。
The present invention relates to a projection optical system and a projection device that magnify and project an image displayed on an image display surface, and for example, to a projection device that performs large-screen projection at a short distance, and a projection optical system optimal for the projection device. ..
近年、短い距離で大画面投影を行う投影装置への需要に対応するため、より広画角の投影光学系が求められるようになってきている。しかし、広画角化を図ろうとするとレンズが大型化しやすくなる。その一般的な対策として、中間像を有するリレータイプの投影光学系が採用されている。それでも、画角が70°を超えるようになるとレンズが大型化し、そのまま小型化しようとすると軸外収差、特に像面湾曲の補正が難しくなる。例えば特許文献1,2では、短い距離で大画面投影を行う投影装置に適した投影光学系が提案されているが、この問題は解消されていない。
In recent years, a projection optical system with a wider angle of view has been required to meet the demand for a projection device that projects a large screen in a short distance. However, if the angle of view is to be widened, the lens tends to be large. As a general measure against this, a relay type projection optical system having an intermediate image is adopted. Even so, if the angle of view exceeds 70°, the lens becomes large, and if the lens is downsized as it is, it becomes difficult to correct off-axis aberrations, especially field curvature. For example, Patent Documents 1 and 2 propose a projection optical system suitable for a projection device that performs large-screen projection at a short distance, but this problem has not been solved.
例えば、特許文献1記載の投影光学系では、変倍を行う第2光学系のパワー配置が適切なものになっていないため、拡大側レンズ及び中間像が大きくなり、レンズが大型化している。特許文献2記載の投影光学系でも、変倍を行う第2光学系のパワー配置が適切でないため、拡大側レンズ及び第2光学系のレンズ径が大きくなり、レンズが大型化している。
For example, in the projection optical system described in Patent Document 1, the power arrangement of the second optical system that performs zooming is not appropriate, so the magnifying lens and the intermediate image are large, and the lens is large. Even in the projection optical system described in Patent Document 2, since the power arrangement of the second optical system that performs zooming is not appropriate, the lens diameters of the magnifying lens and the second optical system are large, and the lens is large.
本発明はこのような状況に鑑みてなされたものであって、その目的は、短い距離での大画面投影が可能な広画角でありながらコンパクトかつ高性能な投影光学系と、それを備えた投影装置を提供することにある。
The present invention has been made in view of the above circumstances, and an object thereof is to provide a compact and high-performance projection optical system with a wide angle of view that enables large-screen projection in a short distance, and a projection optical system including the same. To provide a projection device.
上記目的を達成するために、本発明の投影光学系は、画像表示面に表示される画像を拡大投影する投影光学系であって、
拡大側から順に第1光学系と第2光学系を同一の光軸上に有し、
前記第2光学系が中間像を形成し、前記第1光学系が前記中間像を画角70°以上に拡大投影し、
前記第2光学系のみが変倍のために移動する移動群を有し、
前記第2光学系内において軸上主光線と軸外主光線との交わる位置を位置PAとすると、前記位置PAよりも拡大側に前記移動群が複数位置し、全変倍域において前記複数の移動群がいずれも前記位置PAを含まず、
前記複数の移動群のうち、最も拡大側の移動群を第2-2群とし、前記第2-2群の縮小側に隣り合って位置する移動群を第2-3群とすると、前記第2-2群と前記第2-3群がともに正の屈折力を有し、以下の条件式(1)を満足することを特徴とする。
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 In order to achieve the above object, the projection optical system of the present invention is a projection optical system for enlarging and projecting an image displayed on an image display surface,
Having the first optical system and the second optical system on the same optical axis in order from the enlargement side,
The second optical system forms an intermediate image, the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more,
Only the second optical system has a moving group that moves for zooming,
When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are located in the entire zoom range. None of the moving groups includes the position PA,
Of the plurality of moving groups, if the moving group on the most expanding side is the 2-2nd group and the moving group located adjacent to the reducing side of the 2-2nd group is the 2-3 group, It is characterized in that both the group 2-2 and the group 2-3 have a positive refractive power and satisfy the following conditional expression (1).
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is.
拡大側から順に第1光学系と第2光学系を同一の光軸上に有し、
前記第2光学系が中間像を形成し、前記第1光学系が前記中間像を画角70°以上に拡大投影し、
前記第2光学系のみが変倍のために移動する移動群を有し、
前記第2光学系内において軸上主光線と軸外主光線との交わる位置を位置PAとすると、前記位置PAよりも拡大側に前記移動群が複数位置し、全変倍域において前記複数の移動群がいずれも前記位置PAを含まず、
前記複数の移動群のうち、最も拡大側の移動群を第2-2群とし、前記第2-2群の縮小側に隣り合って位置する移動群を第2-3群とすると、前記第2-2群と前記第2-3群がともに正の屈折力を有し、以下の条件式(1)を満足することを特徴とする。
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 In order to achieve the above object, the projection optical system of the present invention is a projection optical system for enlarging and projecting an image displayed on an image display surface,
Having the first optical system and the second optical system on the same optical axis in order from the enlargement side,
The second optical system forms an intermediate image, the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more,
Only the second optical system has a moving group that moves for zooming,
When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are located in the entire zoom range. None of the moving groups includes the position PA,
Of the plurality of moving groups, if the moving group on the most expanding side is the 2-2nd group and the moving group located adjacent to the reducing side of the 2-2nd group is the 2-3 group, It is characterized in that both the group 2-2 and the group 2-3 have a positive refractive power and satisfy the following conditional expression (1).
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is.
本発明の投影装置は、前記画像表示面を有する画像表示素子と、前記画像表示面に表示される画像をスクリーン面に拡大投影する本発明の投影光学系と、を備えたことを特徴とする。
A projection device of the present invention comprises an image display element having the image display surface, and the projection optical system of the present invention for enlarging and projecting an image displayed on the image display surface onto a screen surface. ..
本発明によれば、中間像を形成する第2光学系が特徴的な移動群を有する構成になっているため、投影性能を保持しつつ広画角化と小型化とを両立させることができる。したがって、短い距離での大画面投影が可能な広画角でありながらコンパクトかつ高性能な投影光学系と、それを備えた投影装置をを実現することが可能である。
According to the present invention, since the second optical system that forms the intermediate image has the characteristic moving group, it is possible to achieve both a wide angle of view and a small size while maintaining the projection performance. .. Therefore, it is possible to realize a compact and high-performance projection optical system having a wide angle of view, which enables large-screen projection at a short distance, and a projection apparatus including the projection optical system.
以下、本発明の実施の形態に係る投影光学系,投影装置等を説明する。本発明の実施の形態に係る投影光学系は、画像表示素子(例えば、デジタル・マイクロミラー・デバイス(digital micromirror device),LCD(liquid crystal display)等)の画像表示面に表示される画像を拡大投影する投影光学系であって、拡大側から順に第1光学系と第2光学系を同一の光軸上に有し、前記第2光学系が中間像を形成し、前記第1光学系が前記中間像を画角70°以上に拡大投影し、前記第2光学系のみが変倍のために移動する移動群を有するものである。
Hereinafter, the projection optical system, the projection device, and the like according to the embodiments of the present invention will be described. A projection optical system according to an embodiment of the present invention magnifies an image displayed on an image display surface of an image display device (for example, a digital micromirror device, an LCD (liquid crystal display), etc.). A projection optical system for projecting, having a first optical system and a second optical system on the same optical axis in order from the enlargement side, the second optical system forms an intermediate image, and the first optical system The intermediate image is magnified and projected at an angle of view of 70° or more, and only the second optical system has a moving group that moves for zooming.
そして、前記第2光学系内において軸上主光線と軸外主光線との交わる位置を位置PAとすると、前記位置PAよりも拡大側に前記移動群が複数位置し、全変倍域において前記複数の移動群がいずれも前記位置PAを含まず、前記複数の移動群のうち、最も拡大側の移動群を第2-2群とし、前記第2-2群の縮小側に隣り合って位置する移動群を第2-3群とすると、前記第2-2群と前記第2-3群がともに正の屈折力を有し、以下の条件式(1)を満足する構成になっている。
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side with respect to the position PA, and in the entire zooming range. None of the plurality of moving groups includes the position PA, the moving group on the most enlarged side of the plurality of moving groups is the 2-2nd group, and the moving group is adjacent to the reducing side of the 2-2nd group. If the moving group to be moved is the 2-3 group, both the 2-2 group and the 2-3 group have a positive refractive power, and the following conditional expression (1) is satisfied. ..
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is.
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side with respect to the position PA, and in the entire zooming range. None of the plurality of moving groups includes the position PA, the moving group on the most enlarged side of the plurality of moving groups is the 2-2nd group, and the moving group is adjacent to the reducing side of the 2-2nd group. If the moving group to be moved is the 2-3 group, both the 2-2 group and the 2-3 group have a positive refractive power, and the following conditional expression (1) is satisfied. ..
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is.
なお、「拡大側」は拡大された光学像が投影されるスクリーン面(拡大側像面)の方向(いわゆる前側)であり、その逆方向は「縮小側」、つまり元の光学像を画像表示面(縮小側像面)に表示する画像表示素子(例えば、デジタル・マイクロミラー・デバイス)が配置される方向(いわゆる後側)である。
The "magnification side" is the direction of the screen surface (magnification side image plane) on which the magnified optical image is projected (so-called front side), and the opposite direction is the "reduction side", that is, the original optical image is displayed as an image. This is the direction (so-called rear side) in which an image display element (for example, a digital micromirror device) to be displayed on the surface (reduction side image surface) is arranged.
上記のように、中間像を有するリレータイプの投影光学系において、画像表示素子側でレンズ径の小さい第2光学系のみで変倍を行い、テレセントリック性への影響の少ない位置PAより拡大側に変倍時に移動する群を少なくとも2つ有することで、投影光学系の大きさやテレセントリック性に対する影響を最小限にしつつ、軸外収差、特に像面湾曲を効率的に補正することを可能としている。また、第2光学系内で拡大側に近い第2-2群と第2-3群の屈折力を共に正とすることで、第2-2群と第2-3群における軸外光線通過位置を高くでき、軸外収差、特に像面湾曲の更なる効率的な補正を可能としている。
As described above, in the relay type projection optical system having the intermediate image, the magnification is changed only by the second optical system having a small lens diameter on the image display element side, and the position is closer to the enlargement side than the position PA which has little influence on the telecentricity. By having at least two groups that move during zooming, it is possible to efficiently correct off-axis aberrations, especially field curvature, while minimizing the effect on the size and telecentricity of the projection optical system. In addition, by making the refracting powers of the 2-2nd group and the 2-3rd group close to the enlargement side in the second optical system both be positive, the off-axis ray passage in the 2-2nd group and the 2-3rd group The position can be increased, and off-axis aberrations, especially field curvature, can be corrected more efficiently.
条件式(1)は、第2光学系内の位置PAよりも拡大側で軸外収差、特に像面湾曲を補正するための好適な条件範囲を規定している。条件式(1)の上限を上回ると、第2-2群に対し第2-3群の屈折力が大きくなりすぎて、第2-2群における軸外光線通過位置が低くなるため、軸外収差、特に像面湾曲を補正することが難しくなる。条件式(1)の下限を下回ると、移動群である第2-2群の屈折力が大きくなりすぎるために、変倍による軸外収差、特に像面湾曲の変動が大きくなる。したがって、条件式(1)を満たせば、軸外性能を良好に保ちながら広画角化を達成することが可能となる。
Conditional expression (1) defines a suitable condition range for correcting off-axis aberrations, particularly field curvature, on the magnification side of the position PA in the second optical system. If the upper limit of conditional expression (1) is exceeded, the refracting power of the second-third lens group becomes too large with respect to the second-second lens group, and the off-axis ray passage position in the second lens group becomes low. It becomes difficult to correct aberrations, especially field curvature. When the value goes below the lower limit of the conditional expression (1), the refractive power of the second-second lens unit, which is a moving lens group, becomes too large, so that off-axis aberrations due to zooming, especially fluctuations in field curvature, become large. Therefore, if the conditional expression (1) is satisfied, it is possible to achieve a wide angle of view while maintaining good off-axis performance.
上述した特徴的構成を有する投影光学系では、中間像を形成する第2光学系が特徴的な移動群を有する構成になっているため、投影性能を保持しつつ広画角化と小型化とを両立させることができる。したがって、短い距離での大画面投影が可能な広画角でありながらコンパクトかつ高性能な投影光学系を実現することが可能である。そして、その投影光学系を投影装置に用いれば、投影装置の高性能化,高機能化,コンパクト化等に寄与することができる。こういった効果をバランス良く得るとともに、更に高い光学性能,小型化等を達成するための条件等を以下に説明する。
In the projection optical system having the above-described characteristic configuration, the second optical system that forms the intermediate image has a configuration that has a characteristic moving group, so that a wide angle of view and a small size can be achieved while maintaining the projection performance. Can be compatible. Therefore, it is possible to realize a compact and high-performance projection optical system with a wide angle of view that enables large-screen projection in a short distance. If the projection optical system is used in a projection device, it can contribute to high performance, high functionality, compact size, etc. of the projection device. The conditions for achieving such effects in a well-balanced manner and achieving higher optical performance and size reduction will be described below.
以下の条件式(1a)を満足することが望ましい。
0.2<f2/f3<0.7 …(1a)
この条件式(1a)は、前記条件式(1)が規定している条件範囲のなかでも、前記観点等に基づいた好ましい条件範囲を規定している。したがって、好ましくは条件式(1a)を満たすことにより、前記効果をより一層大きくすることができる。 It is desirable to satisfy the following conditional expression (1a).
0.2<f2/f3<0.7 (1a)
The conditional expression (1a) defines a preferable conditional range based on the above viewpoints among the conditional range defined by the conditional expression (1). Therefore, preferably, by satisfying conditional expression (1a), it is possible to further enhance the effect.
0.2<f2/f3<0.7 …(1a)
この条件式(1a)は、前記条件式(1)が規定している条件範囲のなかでも、前記観点等に基づいた好ましい条件範囲を規定している。したがって、好ましくは条件式(1a)を満たすことにより、前記効果をより一層大きくすることができる。 It is desirable to satisfy the following conditional expression (1a).
0.2<f2/f3<0.7 (1a)
The conditional expression (1a) defines a preferable conditional range based on the above viewpoints among the conditional range defined by the conditional expression (1). Therefore, preferably, by satisfying conditional expression (1a), it is possible to further enhance the effect.
前記位置PAよりも縮小側に、正の屈折力を有する第2-4群を前記移動群として有することが望ましい。第2-4群を用いて変倍効果を分担すると、第2-2群の移動量を小さくすることができる。その結果、変倍による軸外収差、特に像面湾曲の変動を更に小さくすることができる。また、第2-4群が正の屈折力を持つことで、テレセントリック性を維持しやすくなる。
It is desirable to have the 2-4th group having a positive refractive power as the moving group on the reduction side of the position PA. If the zooming effect is shared by using the second-fourth lens group, the moving amount of the second-second lens group can be reduced. As a result, it is possible to further reduce off-axis aberrations due to zooming, especially fluctuations in field curvature. Further, since the second-fourth lens group has a positive refractive power, it becomes easy to maintain the telecentricity.
以下の条件式(2)を満足することが望ましい。
5<f4/|fw|<20 …(2)
ただし、
f4:第2-4群の焦点距離、
fw:広角端における全系の焦点距離、
である。 It is desirable to satisfy the following conditional expression (2).
5<f4/|fw|<20 (2)
However,
f4: focal length of the second to fourth lens units,
fw: focal length of the entire system at wide-angle end,
Is.
5<f4/|fw|<20 …(2)
ただし、
f4:第2-4群の焦点距離、
fw:広角端における全系の焦点距離、
である。 It is desirable to satisfy the following conditional expression (2).
5<f4/|fw|<20 (2)
However,
f4: focal length of the second to fourth lens units,
fw: focal length of the entire system at wide-angle end,
Is.
条件式(2)は、第2-4群の好ましい焦点距離を規定している。条件式(2)の上限を上回ると、第2-4群の屈折力が小さくなりすぎ、その傾向として、テレセントリック性を確保することが難しくなる。つまり、条件式(2)の上限を上回らないように第2-4群の屈折力を確保することで、テレセントリック性の確保を有利に行うことが可能となる。条件式(2)の下限を下回ると、第2-4群の屈折力が大きくなりすぎ、その傾向として、変倍による軸外収差、特に像面湾曲の変動が発生しやすくなる。つまり、条件式(2)の下限を下回らないように第2-4群の屈折力を抑えることで、変倍による軸外収差、特に像面湾曲の変動の低減を有利に行うことが可能となる。したがって、条件式(2)を満たすことにより、テレセントリック性の確保と軸外収差の補正とを良好にバランスさせることが可能になる。
Conditional expression (2) defines a preferable focal length of the second to fourth lens groups. If the upper limit of conditional expression (2) is exceeded, the refracting power of the second-fourth lens unit will become too small, which tends to make it difficult to ensure telecentricity. That is, by ensuring the refractive power of the second-fourth lens group so as not to exceed the upper limit of the conditional expression (2), it becomes possible to advantageously ensure the telecentricity. When the value goes below the lower limit of the conditional expression (2), the refractive power of the second-fourth lens unit becomes excessively large, which tends to cause off-axis aberrations due to zooming, particularly fluctuations in field curvature. That is, by suppressing the refracting power of the second-fourth lens unit so as not to fall below the lower limit of the conditional expression (2), it is possible to advantageously reduce off-axis aberrations due to zooming, especially fluctuations in field curvature. Become. Therefore, by satisfying the conditional expression (2), it becomes possible to satisfactorily balance the assurance of telecentricity and the correction of off-axis aberrations.
以下の条件式(2a)を満足することが更に望ましい。
6<f4/|fw|<17 …(2a)
この条件式(2a)は、前記条件式(2)が規定している条件範囲のなかでも、前記観点等に基づいた更に好ましい条件範囲を規定している。したがって、好ましくは条件式(2a)を満たすことにより、前記効果をより一層大きくすることができる。 It is more desirable to satisfy the following conditional expression (2a).
6<f4/|fw|<17 (2a)
The conditional expression (2a) defines a more preferable conditional range based on the above viewpoints and the like among the conditional ranges defined by the conditional expression (2). Therefore, preferably, by satisfying conditional expression (2a), it is possible to further enhance the effect.
6<f4/|fw|<17 …(2a)
この条件式(2a)は、前記条件式(2)が規定している条件範囲のなかでも、前記観点等に基づいた更に好ましい条件範囲を規定している。したがって、好ましくは条件式(2a)を満たすことにより、前記効果をより一層大きくすることができる。 It is more desirable to satisfy the following conditional expression (2a).
6<f4/|fw|<17 (2a)
The conditional expression (2a) defines a more preferable conditional range based on the above viewpoints and the like among the conditional ranges defined by the conditional expression (2). Therefore, preferably, by satisfying conditional expression (2a), it is possible to further enhance the effect.
前記第2光学系内の最も縮小側に、正の屈折力を有し、かつ、変倍時に位置固定の最終群を有することが望ましい。このような最終群を用いることにより、変倍によるテレセントリック性の変動を小さくしたうえで、良好なテレセントリック性を得ることが可能となる。
It is desirable to have a final lens unit having a positive refractive power and a fixed position during zooming on the most reduction side in the second optical system. By using such a final group, it is possible to reduce the fluctuation of the telecentricity due to zooming and to obtain good telecentricity.
前記第2光学系内の最も拡大側に、変倍時に位置固定の第2-1群を有することが望ましい。中間像に隣り合って位置する固定群を第2-1群として配置することにより、第2-2群及び第2-3群に加えて第2-1群でも軸外収差、特に像面湾曲を補正することができ、さらに良好な投影性能を得ることが可能となる。また、変倍時に位置固定とすることで、変倍による軸外収差、特に像面湾曲の変動も抑えることができる。
It is desirable to have a 2-1st group whose position is fixed at the time of zooming, on the most magnifying side in the second optical system. By arranging the fixed group adjacent to the intermediate image as the 2-1st group, the off-axis aberrations, especially the field curvature, of the 2-1st group in addition to the 2-2nd group and the 2-3rd group. Can be corrected, and a better projection performance can be obtained. Further, by fixing the position at the time of zooming, it is possible to suppress the variation of off-axis aberration due to zooming, in particular, the curvature of field.
前記第2-1群は負の屈折力を有することが望ましい。前記第2-1群が負の屈折力を有することにより、第2-2群での軸外光線通過位置を高くすることができ、更に効率的に軸外収差、特に像面湾曲を補正することが可能となる。
It is desirable that the 2-1st group has a negative refractive power. Since the 2-1st lens unit has a negative refracting power, it is possible to increase the off-axis ray passing position in the 2-2nd lens unit, and more efficiently correct the off-axis aberration, especially the field curvature. It becomes possible.
以下の条件式(3)を満足することが望ましい。
-3<f1/f2<-1 …(3)
ただし、
f1:第2-1群の焦点距離、
f2:第2-2群の焦点距離、
である。 It is desirable to satisfy the following conditional expression (3).
-3<f1/f2<-1 (3)
However,
f1: the focal length of the 2-1st lens group,
f2: focal length of the second-second lens group,
Is.
-3<f1/f2<-1 …(3)
ただし、
f1:第2-1群の焦点距離、
f2:第2-2群の焦点距離、
である。 It is desirable to satisfy the following conditional expression (3).
-3<f1/f2<-1 (3)
However,
f1: the focal length of the 2-1st lens group,
f2: focal length of the second-second lens group,
Is.
条件式(3)は、第2-1群の好ましい屈折力を規定している。条件式(3)の上限を上回ると、第2-1群の屈折力が大きくなりすぎ、その傾向として、第2-1群で発生する軸外収差、特に像面湾曲が大きくなり、その補正が難しくなる。つまり、条件式(3)の上限を上回らないように第2-1群の屈折力を抑えることで、第2-1群で発生する軸外収差、特に像面湾曲の補正に有利になる。条件式(3)の下限を下回ると、逆に第2-1群の屈折力が小さくなりすぎ、その傾向として、第2-2群での軸外光線通過位置が低くなるため、これも軸外収差、特に像面湾曲の補正が難しくなる。つまり、条件式(3)の下限を下回らないように第2-1群の屈折力を確保することで、第2-2群での軸外光線通過位置が低くなるのを抑えることができ、軸外収差、特に像面湾曲の補正に有利になる。したがって、条件式(3)を満たすことにより、軸外性能を更に良好に保ちながら広画角化を達成することが可能となる。
Conditional expression (3) defines the preferable refractive power of the 2-1st lens group. If the upper limit of conditional expression (3) is exceeded, the refracting power of the 2-1st lens group will become too large, which tends to cause off-axis aberrations occurring in the 2-1st lens group, in particular, field curvature. Becomes difficult. That is, by suppressing the refracting power of the 2-1st lens unit so as not to exceed the upper limit of the conditional expression (3), it becomes advantageous to correct the off-axis aberration generated in the 2-1st lens group, particularly the field curvature. When the value goes below the lower limit of the conditional expression (3), on the contrary, the refractive power of the 2-1st lens group becomes too small, which tends to lower the off-axis ray passing position in the 2nd lens group. It becomes difficult to correct external aberration, especially curvature of field. That is, by ensuring the refractive power of the 2-1st lens group so that the lower limit of conditional expression (3) is not exceeded, it is possible to prevent the off-axis ray passing position in the 2-2nd lens group from becoming low, This is advantageous for correction of off-axis aberrations, especially field curvature. Therefore, by satisfying the conditional expression (3), it is possible to achieve a wide angle of view while keeping the off-axis performance more favorable.
以下の条件式(3a)を満足することが更に望ましい。
-3<f1/f2<-1.5 …(3a)
この条件式(3a)は、前記条件式(3)が規定している条件範囲のなかでも、前記観点等に基づいた更に好ましい条件範囲を規定している。したがって、好ましくは条件式(3a)を満たすことにより、前記効果をより一層大きくすることができる。 It is more desirable to satisfy the following conditional expression (3a).
-3<f1/f2<-1.5 (3a)
The conditional expression (3a) defines a more preferable conditional range based on the above viewpoints among the conditional range defined by the conditional expression (3). Therefore, preferably, by satisfying conditional expression (3a), it is possible to further enhance the effect.
-3<f1/f2<-1.5 …(3a)
この条件式(3a)は、前記条件式(3)が規定している条件範囲のなかでも、前記観点等に基づいた更に好ましい条件範囲を規定している。したがって、好ましくは条件式(3a)を満たすことにより、前記効果をより一層大きくすることができる。 It is more desirable to satisfy the following conditional expression (3a).
-3<f1/f2<-1.5 (3a)
The conditional expression (3a) defines a more preferable conditional range based on the above viewpoints among the conditional range defined by the conditional expression (3). Therefore, preferably, by satisfying conditional expression (3a), it is possible to further enhance the effect.
前記第2-1群は拡大側から正負の2枚のレンズからなることが望ましい。このように第2-1群を最少限のレンズ枚数で構成すると、第2-2群を拡大側近くに配置することができ、像面湾曲を更に効率的に補正することが可能となる。また、拡大側から正負の順に配置すると、軸外光線通過位置が低くなりやすい負の第2-1群で、比較的軸外収差に効く拡大側レンズの軸外光線通過位置を高くすることができ、軸外収差、特に像面湾曲を更に補正することが可能となる。
It is desirable that the 2-1st lens group consists of two lenses, positive and negative, from the magnification side. If the 2-1st lens unit is configured with the minimum number of lenses in this way, it is possible to arrange the 2nd lens unit 2-2 near the enlargement side, and it is possible to more effectively correct the field curvature. Further, when the positive and negative lenses are arranged in this order from the magnification side, it is possible to increase the off-axis ray passing position of the magnifying lens relatively effective against off-axis aberrations in the negative 2-1 group in which the off-axis ray passing position tends to decrease. This makes it possible to further correct off-axis aberrations, especially field curvature.
前記第1光学系は非球面を有することが望ましい。非球面を用いることにより、第1光学系で発生する軸外収差、特に歪曲と像面湾曲を効果的に補正することでき、第1光学系の径も小さくすることが可能となる。具体的には、拡大側に近い位置に非球面を置くことで歪曲を更に効果的に補正することが可能となり、中間像に近い位置に非球面を置くことで像面湾曲を更に効果的に補正することが可能となる。
It is desirable that the first optical system has an aspherical surface. By using an aspherical surface, it is possible to effectively correct off-axis aberrations generated in the first optical system, particularly distortion and field curvature, and it is also possible to reduce the diameter of the first optical system. Specifically, it is possible to correct distortion more effectively by placing an aspherical surface closer to the magnification side, and more effective field curvature by placing an aspherical surface closer to the intermediate image. It becomes possible to correct.
前記第1光学系内で最も拡大側にある非球面よりも拡大側に正レンズを有することが望ましい。このように正レンズを配置することにより、軸外収差、特に歪曲を更に良好に補正することが可能となる。
It is desirable to have a positive lens on the magnifying side rather than the aspherical surface on the most magnifying side in the first optical system. By arranging the positive lens in this way, it becomes possible to more favorably correct off-axis aberrations, especially distortion.
前記第1光学系内の最大空気間隔において、光軸を90°折り曲げる反射光学素子を配置することが望ましい。このように反射光学素子を配置することにより、更に狭い空間でも大画面投影を行うことが可能となる。
It is desirable to arrange a reflective optical element that bends the optical axis by 90° at the maximum air space in the first optical system. By arranging the reflective optical element in this way, it becomes possible to perform large-screen projection even in a narrower space.
次に、第1~第4の実施の形態を挙げて、変倍機能を有する投影光学系LNの具体的な光学構成を説明する。図1~図4は、第1~第4の実施の形態を構成する投影光学系LNにそれぞれ対応する光学構成図であり、図5~図8は、第1~第4の実施の形態における光路の折り曲げをそれぞれ示す屈曲構成図である。これらの光学構成図及び屈曲構成図では、ズームレンズである投影光学系LNのレンズ断面形状,レンズ配置,光路等を、広角端(W)と望遠端(T)のそれぞれについて光学断面で示している。
Next, the specific optical configuration of the projection optical system LN having a variable magnification function will be described with reference to the first to fourth embodiments. 1 to 4 are optical configuration diagrams respectively corresponding to the projection optical system LN that constitutes the first to fourth embodiments, and FIGS. 5 to 8 show the optical configurations in the first to fourth embodiments. FIG. 3 is a bending configuration diagram showing bending of an optical path. In these optical configuration diagrams and bending configuration diagrams, the lens cross-sectional shape, lens arrangement, optical path, etc. of the projection optical system LN, which is a zoom lens, are shown in optical cross sections at the wide-angle end (W) and the telephoto end (T), respectively. There is.
なお、投影光学系LNの縮小側には、プリズムPR(例えば、TIR(Total Internal Reflection)プリズム,色分解合成プリズム等)、及び画像表示素子のカバーガラスCGが変倍時に位置固定で配置されているが、これらは搭載される投影装置に応じて適宜変更可能である。例えば、3単板式のカラー画像投影を行う場合、第1~第3の実施の形態の投影光学系LNが適しており、単板式のカラー画像投影を行う場合、第4の実施の形態の投影光学系LNが適しているが、投影方式はこれらに限らない。
It should be noted that the prism PR (eg, TIR (Total Internal Reflection) prism, color separation/combination prism, etc.) and the cover glass CG of the image display element are arranged in a fixed position on the reduction side of the projection optical system LN during zooming. However, these can be appropriately changed according to the projection device mounted. For example, the projection optical system LN of the first to third embodiments is suitable for performing the three-single-plate color image projection, and the projection optical system of the fourth embodiment is suitable for performing the single-plate color image projection. The optical system LN is suitable, but the projection method is not limited to these.
第1~第4の実施の形態の投影光学系LNは、図1~図4に示すように、拡大側から順に、第1光学系LN1(第1面から中間像面IM1の前まで)と、第2光学系LN2(中間像面IM1の後から最終レンズ面まで)とからなり、画像表示素子の画像表示面IM2に表示される画像(縮小側像面)の中間像IM1を第2光学系LN2が形成し、その中間像IM1を第1光学系LN1が画角70°以上に拡大投影する、縮小側に略テレセントリックな構成になっている。
As shown in FIGS. 1 to 4, the projection optical system LN of the first to fourth embodiments has a first optical system LN1 (from the first surface to the front of the intermediate image plane IM1) in order from the enlargement side. , The second optical system LN2 (from the intermediate image plane IM1 to the final lens surface), and the intermediate image IM1 of the image (reduction side image plane) displayed on the image display surface IM2 of the image display device is formed by the second optical system. The system LN2 is formed, and the intermediate image IM1 is substantially telecentric on the reduction side, in which the first optical system LN1 magnifies and projects the image IM1 at an angle of view of 70° or more.
また、第1~第4の実施の形態の投影光学系LNは、第1光学系LN1と第2光学系LN2を同一の光軸AX上に有しているが、光軸AXを90°折り曲げる反射光学素子RD(図5~図8)を第1光学系LN1内の最大空気間隔に配置することが可能になっている。光路折り曲げ用の反射光学素子RDの具体例としては、平面ミラー,三角プリズム等が挙げられる。中間像IM1を形成するリレータイプの投影光学系LNでは、レンズ系が長くなりやすいので、第1光学系LN1中に反射光学素子RDを配置することにより投影光学系LNをL字型の屈曲光学系にすると、投影光学系LN全体のコンパクト化を効果的に達成することができる。
Further, the projection optical system LN of the first to fourth embodiments has the first optical system LN1 and the second optical system LN2 on the same optical axis AX, but the optical axis AX is bent by 90°. The reflective optical element RD (FIGS. 5 to 8) can be arranged at the maximum air space in the first optical system LN1. Specific examples of the reflective optical element RD for bending the optical path include a plane mirror and a triangular prism. In the relay-type projection optical system LN that forms the intermediate image IM1, the lens system is likely to be long. Therefore, by arranging the reflective optical element RD in the first optical system LN1, the projection optical system LN is bent into an L-shaped bending optical system. With the system, it is possible to effectively achieve compactness of the entire projection optical system LN.
第1光学系LN1は変倍において位置固定であり、変倍は第2光学系LN2のみで行われる。つまり、第2光学系LN2のみが変倍のために移動する移動群を有しており、移動群を画像表示面IM2に対して相対的に移動させて軸上での各群間隔を変化させることにより、広角端(W)から望遠端(T)までの変倍(すなわちズーミング)を行う構成になっている。図1~図4中の矢印m1,m2-1,m2-2,m2-3,m2-3-1,m2-4,mEは、広角端(W)から望遠端(T)へのズーミングにおける第1光学系LN1(固定群),第2-1群Gr2-1(固定群),第2-2群Gr2-2(移動群),第2-3群Gr2-3(移動群),第2-3-1群Gr2-3-1(固定群),第2-4群Gr2-4(移動群),最終群GrE(固定群)の移動又は固定をそれぞれ模式的に示している。
The position of the first optical system LN1 is fixed during zooming, and zooming is performed only by the second optical system LN2. That is, only the second optical system LN2 has a moving group that moves for zooming, and the moving group is moved relative to the image display surface IM2 to change the group spacing on the axis. As a result, it is configured to perform zooming (that is, zooming) from the wide-angle end (W) to the telephoto end (T). Arrows m1, m2-1, m2-2, m2-3, m2-3-1, m2-4, mE in FIGS. 1 to 4 indicate zooming from the wide-angle end (W) to the telephoto end (T). First optical system LN1 (fixed group), 2-1 group Gr2-1 (fixed group), 2-2 group Gr2-2 (moving group), 2-3 group Gr2-3 (moving group), The movements or fixations of the 2-3-1 group Gr2-3-1 (fixed group), the 2-4th group Gr2-4 (moving group), and the final group GrE (fixed group) are schematically shown.
各実施の形態では、第2光学系LN2内において軸上主光線と軸外主光線との交わる位置を位置PAとしており、位置PAよりも拡大側に第2-2群Gr2-2と第2-3群Gr2-3が位置している。第2-2群Gr2-2は最も拡大側の移動群であり、第2-3群Gr2-3は第2-2群Gr2-2の縮小側に隣り合って位置する移動群である。その第2-2群Gr2-2と第2-3群Gr2-3は、ともに正の屈折力を有しており、全変倍域においていずれも位置PAを含んでいない。また、第1,第3,第4の実施の形態では、位置PAよりも縮小側に、正の屈折力を有する第2-4群Gr2-4が移動群として配置されている。
In each of the embodiments, the position where the axial principal ray and the off-axis principal ray intersect in the second optical system LN2 is the position PA, and the second-second group Gr2-2 and the second lens group Gr2-2 are located closer to the enlargement side than the position PA. The third group Gr2-3 is located. The second-second group Gr2-2 is the moving group closest to the expansion side, and the second-third group Gr2-3 is a moving group located adjacent to the reduction side of the second-second group Gr2-2. The second-second lens unit Gr2-2 and the second-third lens unit Gr2-3 both have a positive refractive power and do not include the position PA in the entire zooming range. In addition, in the first, third, and fourth embodiments, the second-fourth group Gr2-4 having a positive refractive power is arranged as a moving group on the reduction side of the position PA.
第1~第3の実施の形態では、第2光学系LN2内の最も拡大側に、負の屈折力を有し、かつ、ズーム位置固定(つまり、変倍時に位置固定)の第2-1群Gr2-1が位置しており、第1~第4の実施の形態では、第2光学系LN2内の最も縮小側に、正の屈折力を有し、かつ、ズーム位置固定の最終群GrEが位置している。また、第3の実施の形態では、第2-3群Gr2-3と位置PAとの間に、負の屈折力を有し、かつ、ズーム位置固定の第2-3-1群Gr2-3-1が位置している。
In the first to third embodiments, the second optical system LN2 has the negative refracting power on the most magnification side and has the zoom position fixed (that is, position fixed during zooming) 2-1. The group Gr2-1 is located, and in the first to fourth embodiments, the final group GrE that has a positive refractive power and has a fixed zoom position is arranged on the most reduction side in the second optical system LN2. Is located. Further, in the third embodiment, the 2-3-1 group Gr2-3 that has a negative refractive power between the 2-3rd group Gr2-3 and the position PA and has a fixed zoom position. -1 is located.
第1~第4の実施の形態では、位置PAに絞りSTが位置しており、絞りSTのズーム位置はその縮小側に隣り合って位置する群と一体である。つまり、第1,第3,第4の実施の形態では絞りSTのズーム位置がその縮小側に隣り合って位置する第2-4群Gr2-4と一体に移動し、第2の実施の形態では絞りSTのズーム位置がその縮小側に隣り合って位置する最終群GrEと一体に固定である。
In the first to fourth embodiments, the aperture stop ST is located at the position PA, and the zoom position of the aperture stop ST is integral with the group positioned adjacent to the reduction side thereof. That is, in the first, third, and fourth embodiments, the zoom position of the aperture stop ST moves integrally with the second-fourth group Gr2-4 located adjacent to the reduction side thereof, and the second embodiment Then, the zoom position of the aperture stop ST is fixed integrally with the final group GrE located adjacent to the reduction side thereof.
次に、上記投影光学系LNを備えた投影装置の一実施の形態を説明する。図13に、投影装置の一例として、プロジェクターPJの概略構成例を示す。このプロジェクターPJは、光源1,照明光学系2,反射ミラー3,プリズムPR,画像表示素子(画像形成素子)4,制御部5,アクチュエーター6,投影光学系LN等を備えている。制御部5は、プロジェクターPJの全体制御を司る部分である。画像表示素子4は、光を変調して画像を生成する画像変調素子(例えば、デジタル・マイクロミラー・デバイス)であり、画像を表示する画像表示面IM2を有しており、その画像表示面IM2上にはカバーガラスCGが設けられている。
Next, an embodiment of a projection device equipped with the projection optical system LN will be described. FIG. 13 shows a schematic configuration example of the projector PJ as an example of the projection device. The projector PJ includes a light source 1, an illumination optical system 2, a reflection mirror 3, a prism PR, an image display element (image forming element) 4, a controller 5, an actuator 6, a projection optical system LN, and the like. The control unit 5 is a unit that controls the overall control of the projector PJ. The image display element 4 is an image modulation element (for example, a digital micromirror device) that modulates light to generate an image, has an image display surface IM2 that displays an image, and the image display surface IM2. A cover glass CG is provided on the top.
光源1(例えば、キセノンランプ等の白色光源,レーザー光源)から出射した光は、照明光学系2,反射ミラー3及びプリズムPRで画像表示素子4に導かれて、画像表示素子4では画像光が形成される。プリズムPRは、例えばTIRプリズム(他に色分離合成プリズム等)からなり、照明光と投影光との分離等を行う。画像表示素子4で形成された画像光は、投影光学系LNでスクリーン面SCに向けて拡大投射される。つまり、画像表示素子4に表示された画像IM2は、第2光学系LN2で中間像IM1となった後、第1光学系LN1でスクリーン面SCに拡大投影される。
Light emitted from the light source 1 (for example, a white light source such as a xenon lamp or a laser light source) is guided to the image display element 4 by the illumination optical system 2, the reflection mirror 3, and the prism PR, and the image display element 4 converts the image light. It is formed. The prism PR is, for example, a TIR prism (a color separation/combination prism or the like) and separates illumination light and projection light. The image light formed by the image display element 4 is enlarged and projected by the projection optical system LN toward the screen surface SC. That is, the image IM2 displayed on the image display element 4 becomes an intermediate image IM1 by the second optical system LN2, and then is enlarged and projected on the screen surface SC by the first optical system LN1.
プロジェクターPJは、上記のように、画像を表示する画像表示素子4と、光源1と、その光源1からの光を画像表示素子4に導く照明光学系2と、画像表示素子4の画像表示面IM2に表示された画像をスクリーン面SCに拡大投影する投影光学系LNと、を備えているが、投影光学系LNが適用可能な投影装置はこれに限らない。例えば、画像表示面IM2自身の発光により画像を表示する画像表示素子を用いれば、照明を不要にすることも可能であり、その場合、光源1や照明光学系2を用いずに投影装置を構成することが可能である。
As described above, the projector PJ includes the image display element 4 that displays an image, the light source 1, the illumination optical system 2 that guides the light from the light source 1 to the image display element 4, and the image display surface of the image display element 4. Although the projection optical system LN for enlarging and projecting the image displayed on IM2 is projected on the screen surface SC, the projection apparatus to which the projection optical system LN is applicable is not limited to this. For example, if an image display element that displays an image by light emission of the image display surface IM2 itself is used, it is possible to eliminate the need for illumination, and in that case, the projection device is configured without using the light source 1 or the illumination optical system 2. It is possible to
投影光学系LNにおいてズーミングやフォーカシングのために移動するレンズ群には、それぞれ光軸AXに沿って拡大側又は縮小側に移動させるアクチュエーター6が接続されている。そしてアクチュエーター6には、移動群の移動制御を行うための制御部5が接続されている。なお、制御部5及びアクチュエーター6については、これを使わず手動でレンズ群を移動させてもよい。
The actuators 6 that move the lens to the enlargement side or the reduction side along the optical axis AX are connected to the lens groups that move for zooming and focusing in the projection optical system LN. A control unit 5 for controlling the movement of the moving group is connected to the actuator 6. It should be noted that the control unit 5 and the actuator 6 may be manually moved without using them.
以上の説明から分かるように、上述した実施の形態や後述する実施例には以下の特徴的な構成(#1)~(#12)等が含まれている。
As can be seen from the above description, the above-described embodiments and examples described later include the following characteristic configurations (#1) to (#12).
(#1):画像表示面に表示される画像を拡大投影する投影光学系であって、
拡大側から順に第1光学系と第2光学系を同一の光軸上に有し、
前記第2光学系が中間像を形成し、前記第1光学系が前記中間像を画角70°以上に拡大投影し、
前記第2光学系のみが変倍のために移動する移動群を有し、
前記第2光学系内において軸上主光線と軸外主光線との交わる位置を位置PAとすると、前記位置PAよりも拡大側に前記移動群が複数位置し、全変倍域において前記複数の移動群がいずれも前記位置PAを含まず、
前記複数の移動群のうち、最も拡大側の移動群を第2-2群とし、前記第2-2群の縮小側に隣り合って位置する移動群を第2-3群とすると、前記第2-2群と前記第2-3群がともに正の屈折力を有し、以下の条件式(1)を満足することを特徴とする投影光学系;
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 (#1): a projection optical system for enlarging and projecting an image displayed on the image display surface,
Having the first optical system and the second optical system on the same optical axis in order from the enlargement side,
The second optical system forms an intermediate image, and the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more,
Only the second optical system has a moving group that moves for zooming,
When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are arranged in the entire zoom range. None of the moving groups includes the position PA,
Of the plurality of moving groups, if the moving group on the most enlarged side is the 2-2nd group, and the moving groups adjacent to the reducing side of the 2-2nd group are the 2-3rd group, A projection optical system characterized in that both the 2-2 group and the 2-3 group have a positive refractive power and satisfy the following conditional expression (1);
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is.
拡大側から順に第1光学系と第2光学系を同一の光軸上に有し、
前記第2光学系が中間像を形成し、前記第1光学系が前記中間像を画角70°以上に拡大投影し、
前記第2光学系のみが変倍のために移動する移動群を有し、
前記第2光学系内において軸上主光線と軸外主光線との交わる位置を位置PAとすると、前記位置PAよりも拡大側に前記移動群が複数位置し、全変倍域において前記複数の移動群がいずれも前記位置PAを含まず、
前記複数の移動群のうち、最も拡大側の移動群を第2-2群とし、前記第2-2群の縮小側に隣り合って位置する移動群を第2-3群とすると、前記第2-2群と前記第2-3群がともに正の屈折力を有し、以下の条件式(1)を満足することを特徴とする投影光学系;
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 (#1): a projection optical system for enlarging and projecting an image displayed on the image display surface,
Having the first optical system and the second optical system on the same optical axis in order from the enlargement side,
The second optical system forms an intermediate image, and the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more,
Only the second optical system has a moving group that moves for zooming,
When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are arranged in the entire zoom range. None of the moving groups includes the position PA,
Of the plurality of moving groups, if the moving group on the most enlarged side is the 2-2nd group, and the moving groups adjacent to the reducing side of the 2-2nd group are the 2-3rd group, A projection optical system characterized in that both the 2-2 group and the 2-3 group have a positive refractive power and satisfy the following conditional expression (1);
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is.
(#2):前記位置PAよりも縮小側に、正の屈折力を有する第2-4群を前記移動群として有することを特徴とする(#1)記載の投影光学系。
(#2): The projection optical system according to (#1), characterized in that it has, as the moving group, a 2-4 group having a positive refractive power on the reduction side of the position PA.
(#3):以下の条件式(2)を満足することを特徴とする(#2)記載の投影光学系;
5<f4/|fw|<20 …(2)
ただし、
f4:第2-4群の焦点距離、
fw:広角端における全系の焦点距離、
である。 (#3): The projection optical system according to (#2), characterized by satisfying the following conditional expression (2):
5<f4/|fw|<20 (2)
However,
f4: focal length of the second to fourth lens units,
fw: focal length of the entire system at wide-angle end,
Is.
5<f4/|fw|<20 …(2)
ただし、
f4:第2-4群の焦点距離、
fw:広角端における全系の焦点距離、
である。 (#3): The projection optical system according to (#2), characterized by satisfying the following conditional expression (2):
5<f4/|fw|<20 (2)
However,
f4: focal length of the second to fourth lens units,
fw: focal length of the entire system at wide-angle end,
Is.
(#4):前記第2光学系内の最も縮小側に、正の屈折力を有し、かつ、変倍時に位置固定の最終群を有することを特徴とする(#1)~(#3)のいずれか1項に記載の投影光学系。
(#4): The second optical system is characterized in that it has a positive refractive power on the most reduction side in the second optical system, and has a final group whose position is fixed during zooming (#1) to (#3). The projection optical system according to any one of 1).
(#5):前記第2光学系内の最も拡大側に、変倍時に位置固定の第2-1群を有することを特徴とする(#1)~(#4)のいずれか1項に記載の投影光学系。
(#5): In any one of (#1) to (#4), characterized in that it has a 2-1st group whose position is fixed at the time of zooming on the most magnifying side in the second optical system. The projection optical system described.
(#6):前記第2-1群が負の屈折力を有することを特徴とする(#5)記載の投影光学系。
(#6): The projection optical system according to (#5), wherein the 2-1st lens unit has a negative refractive power.
(#7):以下の条件式(3)を満足することを特徴とする(#5)又は(#6)記載の投影光学系;
-3<f1/f2<-1 …(3)
ただし、
f1:第2-1群の焦点距離、
f2:第2-2群の焦点距離、
である。 (#7): The projection optical system according to (#5) or (#6), characterized by satisfying the following conditional expression (3);
-3<f1/f2<-1 (3)
However,
f1: the focal length of the 2-1st lens group,
f2: focal length of the second-second lens group,
Is.
-3<f1/f2<-1 …(3)
ただし、
f1:第2-1群の焦点距離、
f2:第2-2群の焦点距離、
である。 (#7): The projection optical system according to (#5) or (#6), characterized by satisfying the following conditional expression (3);
-3<f1/f2<-1 (3)
However,
f1: the focal length of the 2-1st lens group,
f2: focal length of the second-second lens group,
Is.
(#8):前記第2-1群が拡大側から正負の2枚のレンズからなることを特徴とする(#6)又は(#7)記載の投影光学系。
(#8): The projection optical system according to (#6) or (#7), wherein the 2-1st lens unit includes two lenses, positive and negative, from the magnification side.
(#9):前記第1光学系が非球面を有することを特徴とする(#1)~(#8)のいずれか1項に記載の投影光学系。
(#9): The projection optical system according to any one of (#1) to (#8), wherein the first optical system has an aspherical surface.
(#10):前記第1光学系内で最も拡大側にある非球面よりも拡大側に正レンズを有することを特徴とする(#9)記載の投影光学系。
(#10): The projection optical system according to (#9), characterized in that it has a positive lens on the magnification side of the aspherical surface on the most magnification side in the first optical system.
(#11):前記第1光学系内の最大空気間隔において、光軸を90°折り曲げる反射光学素子が配置されていることを特徴とする(#1)~(#10)のいずれか1項に記載の投影光学系。
(#11): Any one of (#1) to (#10), characterized in that a reflective optical element that bends the optical axis by 90° is arranged at the maximum air space in the first optical system. The projection optical system described in.
(#12):前記画像表示面を有する画像表示素子と、前記画像表示面に表示される画像をスクリーン面に拡大投影する(#1)~(#11)のいずれか1項に記載の投影光学系と、を備えたことを特徴とする投影装置。
(#12): The image display element having the image display surface, and the projection according to any one of (#1) to (#11), which magnifies and projects an image displayed on the image display surface on a screen surface. An optical system, and a projection device.
以下、本発明を実施した投影光学系の構成等を、実施例のコンストラクションデータ等を挙げて更に具体的に説明する。ここで挙げる実施例1~4(EX1~4)は、前述した第1~第4の実施の形態にそれぞれ対応する数値実施例であり、第1~第4の実施の形態を表す光学構成図(図1~図4)及び屈曲構成図(図5~図8)は、対応する実施例1~4のレンズ断面形状,レンズ配置,光路等をそれぞれ示している。
Hereinafter, the configuration and the like of the projection optical system in which the present invention is implemented will be described more specifically with reference to the construction data and the like of the examples. Examples 1 to 4 (EX1 to 4) given here are numerical examples corresponding to the above-described first to fourth embodiments, respectively, and are optical configuration diagrams showing the first to fourth embodiments. (FIGS. 1 to 4) and bending configuration diagrams (FIGS. 5 to 8) respectively show the lens cross-sectional shapes, lens arrangements, optical paths, etc. of the corresponding Examples 1 to 4.
各実施例のコンストラクションデータでは、面データとして、左側の欄から順に、面番号i,近軸における曲率半径r(mm),軸上面間隔d(mm),d線(波長587.56nm)に関する屈折率nd,及びd線に関するアッベ数vdを示す。なお、SCはスクリーン面、STは開口絞り、IM1は中間像面、IM2は画像表示面をそれぞれ示している。
In the construction data of each example, as surface data, in order from the left column, the surface number i, the radius of curvature r (mm) on the paraxial axis, the axial upper surface distance d (mm), and the refraction regarding the d line (wavelength 587.56 nm). The ratio nd and the Abbe number vd for the d line are shown. Note that SC is a screen surface, ST is an aperture stop, IM1 is an intermediate image surface, and IM2 is an image display surface.
面番号iに*が付された面は非球面であり、その面形状は面頂点を原点とするローカルな直交座標系(x,y,z)を用いた以下の式(AS)で定義される。非球面データとして、非球面係数等を示す。なお、各実施例の非球面データにおいて表記の無い項の係数は0であり、すべてのデータに関してe-n=×10-nである。
z=(c・h2)/[1+√{1-(1+K)・c2・h2}]+Σ(Aj・hj) …(AS)
ただし、
h:z軸(光軸AX)に対して垂直な方向の高さ(h2=x2+y2)、
z:高さhの位置での光軸AX方向のサグ量(面頂点基準)、
c:面頂点での曲率(曲率半径rの逆数)、
K:円錐定数、
Aj:j次の非球面係数、
である。 The surface marked with * on the surface number i is an aspherical surface, and its surface shape is defined by the following equation (AS) using a local orthogonal coordinate system (x, y, z) with the surface vertex as the origin. It As aspherical surface data, an aspherical surface coefficient and the like are shown. In the aspherical surface data of each example, the coefficient of a term not shown is 0, and all data are en− ×10 −n .
z=(c·h 2 )/[1+√{1-(1+K)·c 2 ·h 2 }]+Σ(Aj·h j )...(AS)
However,
h: height in the direction perpendicular to the z axis (optical axis AX) (h 2 =x 2 +y 2 ),
z: sag amount in the direction of the optical axis AX at the position of height h (reference to surface vertex)
c: curvature at the surface apex (reciprocal of curvature radius r),
K: conic constant,
Aj: j-th order aspherical coefficient,
Is.
z=(c・h2)/[1+√{1-(1+K)・c2・h2}]+Σ(Aj・hj) …(AS)
ただし、
h:z軸(光軸AX)に対して垂直な方向の高さ(h2=x2+y2)、
z:高さhの位置での光軸AX方向のサグ量(面頂点基準)、
c:面頂点での曲率(曲率半径rの逆数)、
K:円錐定数、
Aj:j次の非球面係数、
である。 The surface marked with * on the surface number i is an aspherical surface, and its surface shape is defined by the following equation (AS) using a local orthogonal coordinate system (x, y, z) with the surface vertex as the origin. It As aspherical surface data, an aspherical surface coefficient and the like are shown. In the aspherical surface data of each example, the coefficient of a term not shown is 0, and all data are en− ×10 −n .
z=(c·h 2 )/[1+√{1-(1+K)·c 2 ·h 2 }]+Σ(Aj·h j )...(AS)
However,
h: height in the direction perpendicular to the z axis (optical axis AX) (h 2 =x 2 +y 2 ),
z: sag amount in the direction of the optical axis AX at the position of height h (reference to surface vertex)
c: curvature at the surface apex (reciprocal of curvature radius r),
K: conic constant,
Aj: j-th order aspherical coefficient,
Is.
実施例1~4の各種データとして、ズーム比(zoom ratio,変倍比)を示し、さらに各焦点距離状態W(Wide),M(Middle),T(Tele)について、全系の焦点距離(Fl,mm),Fナンバー(Fno.),半画角(ω,°),像高(ymax,mm),レンズ全長(TL,mm),バックフォーカス(BF,mm),及び可変面間隔(di,i:面番号,mm)を示し、ズームレンズ群データとして、各レンズ群の焦点距離(mm)を示す(ここでは、第2-1群Gr2-1を第1光学系LN1と一体のレンズ群として示す。)。ただし、バックフォーカスBFは、レンズ最終面から近軸像面までの距離を空気換算長により表記しており、レンズ全長TLは、レンズ最前面からレンズ最終面までの距離にバックフォーカスBFを加えたものである。また、像高ymaxは画像表示面IM2の対角長の半分に相当する。
As various data of Examples 1 to 4, zoom ratios (zoom ratios, variable power ratios) are shown, and the focal lengths of the entire system (focal length states W (Wide), M (Middle), T (Tele) are shown. Fl, mm), F number (Fno.), half angle of view (ω, °), image height (ymax, mm), total lens length (TL, mm), back focus (BF, mm), and variable surface spacing ( di, i: surface number, mm) and the focal length (mm) of each lens group as zoom lens group data (here, the 2-1st group Gr2-1 is integrated with the first optical system LN1. Shown as a lens group.). However, in the back focus BF, the distance from the final lens surface to the paraxial image plane is expressed by the air-converted length, and the total lens length TL is the distance from the frontmost lens surface to the final lens surface plus the back focus BF. It is a thing. The image height ymax corresponds to half the diagonal length of the image display surface IM2.
表1に、条件式対応値,その関連データ等を各実施例について示す。ここで、条件式関連データ等として、広角端Wにおける全系の焦点距離fw(mm),第1光学系LN1の焦点距離fL1(mm),広角端Wにおける第2光学系LN2の焦点距離fL2w(mm),第2-1群Gr2-1の焦点距離f1(mm),第2-2群Gr2-2の焦点距離f2(mm),第2-3群Gr2-3の焦点距離f3(mm),第2-3-1群Gr2-3-1の焦点距離f3-1(mm),第2-4群Gr2-4の焦点距離f4(mm),最終群GrEの焦点距離fE(mm)を挙げる。
Table 1 shows the values corresponding to the conditional expressions and their related data for each example. Here, as conditional expression related data, the focal length fw (mm) of the entire system at the wide-angle end W, the focal length fL1 (mm) of the first optical system LN1, and the focal length fL2w of the second optical system LN2 at the wide-angle end W are shown. (Mm), focal length f1 (mm) of second-first lens unit Gr2-1, focal length f2 (mm) of second-second lens unit Gr2-2, focal length f3 (mm of second-third lens unit Gr2-3) ), the focal length f3-1 (mm) of the 2-3-1st lens unit Gr2-3-1, the focal length f4 (mm) of the 2-4th lens unit Gr2-4, and the focal length fE (mm) of the final lens unit GrE. I will give you.
図9~図12は、実施例1~実施例4(EX1~EX4)にそれぞれ対応する収差図(無限遠合焦状態での縦収差図)であり、(A)~(C)は広角端W、(D)~(F)は中間焦点距離状態M、(G)~(I)は望遠端Tにおける諸収差をそれぞれ示している。また、図9~図12において、(A),(D),(G)は球面収差図、(B),(E),(H)は非点収差図、(C),(F),(I)は歪曲収差図である。なお、各実施例の投影光学系LNをプロジェクターPJに用いる場合(図13)、本来はスクリーン面(被投影面)SCが像面であり画像表示面IM2が物体面であるが、各実施例では光学設計上それぞれ縮小系とし、スクリーン面SCを物体面(object)とみなして像面(image)に相当する画像表示面(縮小側像面)IM2で光学性能を評価している。
9 to 12 are aberration diagrams (longitudinal aberration diagrams in the infinity in-focus state) corresponding to Examples 1 to 4 (EX1 to EX4), respectively, and (A) to (C) are wide-angle ends. W and (D) to (F) show the intermediate focal length state M, and (G) to (I) show various aberrations at the telephoto end T, respectively. 9 to 12, (A), (D) and (G) are spherical aberration diagrams, (B), (E) and (H) are astigmatism diagrams, and (C), (F), (I) is a distortion diagram. When the projection optical system LN of each embodiment is used for the projector PJ (FIG. 13), the screen surface (projection surface) SC is originally the image surface and the image display surface IM2 is the object surface. In the optical design, each is a reduction system, and the screen surface SC is regarded as an object surface (object), and the optical performance is evaluated by the image display surface (reduction side image surface) IM2 corresponding to the image surface (image).
球面収差図は、実線で示すd線(波長587.56nm)に対する球面収差量、一点鎖線で示すC線(波長656.28nm)に対する球面収差量、破線で示すg線(波長435.84nm)に対する球面収差量を、それぞれ近軸像面からの光軸AX方向のズレ量(単位:mm)で表しており、縦軸は瞳への入射高さをその最大高さで規格化した値(すなわち相対瞳高さ)を表している。非点収差図において、破線Tはd線に対するタンジェンシャル像面、実線Sはd線に対するサジタル像面を、近軸像面からの光軸AX方向のズレ量(単位:mm)で表しており、縦軸は像高(IMG HT,単位:mm)を表している。歪曲収差図において、横軸はd線に対する歪曲(単位:%)を表しており、縦軸は像高(IMG HT,単位:mm)を表している。
The spherical aberration diagram shows the spherical aberration amount for the d line (wavelength 587.56 nm) indicated by the solid line, the spherical aberration amount for the C line (wavelength 656.28 nm) indicated by the alternate long and short dash line, and the g line (wavelength 435.84 nm) indicated by the broken line. The amount of spherical aberration is expressed by the amount of deviation (unit: mm) in the optical axis AX direction from the paraxial image plane, and the vertical axis represents the value obtained by normalizing the entrance height to the pupil by its maximum height (that is, Relative pupil height). In the astigmatism diagram, the broken line T represents the tangential image plane with respect to the d-line, and the solid line S represents the sagittal image plane with respect to the d-line by the amount of deviation (unit: mm) in the optical axis AX direction from the paraxial image plane. , The vertical axis represents the image height (IMG HT, unit: mm). In the distortion diagram, the horizontal axis represents the distortion (unit: %) with respect to the d-line, and the vertical axis represents the image height (IMG HT, unit: mm).
実施例1の投影光学系LNは、全体で33枚のレンズエレメントで構成されており、拡大側の18枚が第1光学系LN1、縮小側の15枚が第2光学系LN2で、第2光学系LN2が第1光学系LN1の縮小側に中間像IM1を形成する。変倍は第2光学系LN2のみで行われ、第2光学系LN2は、拡大側から順に、第2-1群Gr2-1が負、第2-2群Gr2-2が正、第2-3群Gr2-3が正、第2-4群Gr2-4が正、最終群GrEが正の5成分ズームとなっている。
The projection optical system LN of Example 1 is composed of a total of 33 lens elements, 18 on the enlargement side is the first optical system LN1, 15 on the reduction side is the second optical system LN2, and 2nd The optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1. The zooming is performed only by the second optical system LN2. In the second optical system LN2, the 2-1st group Gr2-1 is negative, the 2-2nd group Gr2-2 is positive, and the 2nd The five-component zoom lens system has the third lens unit Gr2-3 positive, the second lens unit Gr2-4 positive, and the last lens unit GrE positive.
実施例1の第2光学系LN2では、第2-1群Gr2-1と最終群GrEが固定群であり、変倍時には位置固定(軌跡m2-1,mE)となっている。広角端(W)から望遠端(T)への変倍において、第2-2群Gr2-2は縮小側に凸の軌跡m2-2で拡大側へ移動し、第2-3群Gr2-3と第2-4群Gr2-4は拡大側へ単調に移動する(移動軌跡m2-3,m2-4)。第2光学系LN2内の軸外主光線と軸上主光線との交わる位置PAより拡大側には、移動群である第2-2群Gr2-2と第2-3群Gr2-3が位置しており、第2-2群Gr2-2の移動量が最も小さくなっている。また、第2-1群Gr2-1は拡大側から正負の単レンズで2枚構成となっている。
In the second optical system LN2 of Example 1, the 2-1st group Gr2-1 and the last group GrE are fixed groups, and the positions are fixed (trajectories m2-1, mE) during zooming. During zooming from the wide-angle end (W) to the telephoto end (T), the second-2 group Gr2-2 moves to the enlargement side along a locus m2-2 that is convex toward the reduction side, and the second-third group Gr2-3 Then, the second-fourth group Gr2-4 monotonously moves to the enlargement side (movement loci m2-3, m2-4). The second-second group Gr2-2 and the second-third group Gr2-3, which are moving groups, are located on the enlargement side of the position PA where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2. Therefore, the moving amount of the second-second lens unit Gr2-2 is the smallest. Further, the 2-1st lens unit Gr2-1 is composed of two positive and negative single lenses from the magnification side.
実施例1の第1光学系LN1(軌跡m1)は、中間像IM1を画角113.6°に拡大投影する。第1光学系LN1は、拡大側から順に、拡大側に凸の正メニスカスレンズと、拡大側に凸の負メニスカスレンズと、両凹の負レンズと、非球面レンズと、を有しており、さらに中間像IM1側から2枚目のレンズに非球面を有している。また実施例1では、第1光学系LN1内の拡大側から9番目のレンズと10番目のレンズとの間の最大空気間隔に、反射光学素子RDを配置することで折り曲げ投影を行うことができるように構成されている。
The first optical system LN1 (locus m1) of Example 1 magnifies and projects the intermediate image IM1 to an angle of view of 113.6°. The first optical system LN1 has, in order from the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, a biconcave negative lens, and an aspherical lens, Further, the second lens from the side of the intermediate image IM1 has an aspherical surface. Further, in the first embodiment, bending projection can be performed by disposing the reflective optical element RD in the maximum air space between the ninth lens and the tenth lens from the enlargement side in the first optical system LN1. Is configured.
実施例2の投影光学系LNは、全体で33枚のレンズエレメントで構成されており、拡大側の18枚が第1光学系LN1、縮小側の15枚が第2光学系LN2で、第2光学系LN2が第1光学系LN1の縮小側に中間像IM1を形成する。変倍は第2光学系LN2のみで行われ、第2光学系LN2は、拡大側から順に、第2-1群Gr2-1が負、第2-2群Gr2-2が正、第2-3群Gr2-3が正、最終群GrEが正の4成分ズームとなっている。
The projection optical system LN of Example 2 is composed of 33 lens elements as a whole, with 18 on the enlargement side being the first optical system LN1, 15 on the reduction side being the second optical system LN2, and 2nd The optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1. The zooming is performed only by the second optical system LN2. In the second optical system LN2, the 2-1st group Gr2-1 is negative, the 2-2nd group Gr2-2 is positive, and the 2nd The three-group Gr2-3 has a positive zoom, and the final group GrE has a positive four-component zoom.
実施例2の第2光学系LN2では、第2-1群Gr2-1と最終群GrEが固定群であり、変倍時には位置固定(軌跡m2-1,mE)となっている。広角端(W)から望遠端(T)への変倍において、第2-2群Gr2-2は縮小側へ移動し、第2-3群Gr2-3は拡大側に移動する(移動軌跡m2-2,m2-3)。第2光学系LN2内の軸外主光線と軸上主光線の交とわる位置PAより拡大側には、移動群である第2-2群Gr2-2と第2-3群Gr2-3が位置しており、第2-2群Gr2-2の移動量が最も小さくなっている。また、第2-1群Gr2-1は拡大側から正負の単レンズで2枚構成となっている。
In the second optical system LN2 of Example 2, the 2-1st group Gr2-1 and the last group GrE are fixed groups, and the positions are fixed (trajectories m2-1, mE) during zooming. During zooming from the wide-angle end (W) to the telephoto end (T), the second-second group Gr2-2 moves to the reduction side, and the second-third group Gr2-3 moves to the enlargement side (movement locus m2 -2, m2-3). On the enlargement side of the position PA where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2, there are moving groups 2-2 and 3-2. The second-second lens unit Gr2-2 is located at the lowest position, and the moving amount is the smallest. Further, the 2-1st lens unit Gr2-1 is composed of two positive and negative single lenses from the magnification side.
実施例2の第1光学系LN1(軌跡m1)は、中間像IM1を画角113.6°に拡大投影する。第1光学系LN1は、拡大側から順に拡大側に凸の正メニスカスレンズと、拡大側に凸の負メニスカスレンズと、拡大側に凸の負メニスカスレンズと、非球面レンズと、を有しており、さらに中間像IM1側から2枚目のレンズに非球面を有している。また実施例2では、第1光学系LN1内の拡大側から9番目のレンズと10番目のレンズとの間の最大空気間隔に、反射光学素子RDを配置することで折り曲げ投影を行うことができるように構成されている。
The first optical system LN1 (locus m1) of the second embodiment magnifies and projects the intermediate image IM1 to the angle of view of 113.6°. The first optical system LN1 includes, in order from the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, and an aspherical lens. In addition, the second lens from the side of the intermediate image IM1 has an aspherical surface. Further, in the second embodiment, bending projection can be performed by disposing the reflective optical element RD in the maximum air space between the ninth lens and the tenth lens from the enlargement side in the first optical system LN1. Is configured.
実施例3の投影光学系LNは、全体で34枚のレンズエレメントで構成されており、拡大側の18枚が第1光学系LN1、縮小側の16枚が第2光学系LN2で、第2光学系LN2が第1光学系LN1の縮小側に中間像IM1を形成する。変倍は第2光学系LN2のみで行われ、第2光学系LN2は、拡大側から順に、第2-1群Gr2-1が負、第2-2群Gr2-2が正、第2-3群Gr2-3が正、第2-3-1群Gr2-3-1が負、第2-4群Gr2-4が正、最終群GrEが正の6成分ズームとなっている。
The projection optical system LN of Example 3 is composed of a total of 34 lens elements, 18 on the enlargement side is the first optical system LN1, 16 on the reduction side is the second optical system LN2, and 2nd The optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1. The zooming is performed only by the second optical system LN2. In the second optical system LN2, the 2-1st group Gr2-1 is negative, the 2-2nd group Gr2-2 is positive, and the 2nd The six-component zoom lens system has the third group Gr2-3 positive, the second group 2-3-1 Gr2-3-1 negative, the second group-4 Gr2-4 positive, and the final group GrE positive.
実施例3の第2光学系LN2では、第2-1群Gr2-1と第2-3-1群Gr2-3-1と最終群GrEが固定群であり、変倍時には位置固定(軌跡m2-1,m2-3-1,mE)となっている。広角端(W)から望遠端(T)への変倍において、第2-2群Gr2-2と第2-3群Gr2-3と第2-4群Gr2-4は拡大側に移動する(移動軌跡m2-2,m2-3,m2-4)。第2光学系LN2内の軸外主光線と軸上主光線との交わる位置PAより拡大側には、移動群である第2-2群Gr2-2と第2-3群Gr2-3が位置しており、第2-2群Gr2-2の移動量が最も小さくなっている。また、第2-1群Gr2-1は拡大側から正負の単レンズで2枚構成となっている。
In the second optical system LN2 of the third embodiment, the 2-1st group Gr2-1, the 2-3-1st group Gr2-3-1 and the final group GrE are fixed groups, and their positions are fixed during zooming (trajectory m2 -1, m2-3-1, mE). During zooming from the wide-angle end (W) to the telephoto end (T), the second-second lens unit Gr2-2, the second-third lens unit Gr2-3, and the second-fourth lens unit Gr2-4 move to the enlargement side ( Movement loci m2-2, m2-3, m2-4). The second-second group Gr2-2 and the second-third group Gr2-3, which are moving groups, are located on the enlargement side of the position PA where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2. Therefore, the moving amount of the second-second lens unit Gr2-2 is the smallest. Further, the 2-1st lens unit Gr2-1 is composed of two positive and negative single lenses from the magnification side.
実施例3の第1光学系LN1(軌跡m1)は、中間像IM1を画角113.5°に拡大投影する。第1光学系LN1は、拡大側から順に、拡大側に凸の正メニスカスレンズと、拡大側に凸の負メニスカスレンズと、両凹の負レンズと、非球面レンズと、を有しており、さらに中間像IM1側から2枚目のレンズに非球面を有している。また実施例3では、第1光学系LN1内の拡大側から9番目のレンズと10番目のレンズとの間の最大空気間隔に、反射光学素子RDを配置することで折り曲げ投影を行うことができるように構成されている。
The first optical system LN1 (trajectory m1) of Example 3 projects the intermediate image IM1 in an enlarged manner at an angle of view of 113.5°. The first optical system LN1 has, in order from the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, a biconcave negative lens, and an aspherical lens, Further, the second lens from the side of the intermediate image IM1 has an aspherical surface. Further, in the third embodiment, bending projection can be performed by disposing the reflective optical element RD in the maximum air space between the ninth lens and the tenth lens from the enlargement side in the first optical system LN1. Is configured.
実施例4の投影光学系LNは、全体で30枚のレンズエレメントで構成されており、拡大側の17枚が第1光学系LN1、縮小側の13枚が第2光学系LN2で、第2光学系LN2が第1光学系LN1の縮小側に中間像IM1を形成する。変倍は第2光学系LN2のみで行われ、第2光学系LN2は、拡大側から順に、第2-2群Gr2-2が正、第2-3群Gr2-3が正、第2-4群Gr2-4が正、最終群GrEが正の4成分ズームとなっている。
The projection optical system LN of Example 4 is composed of a total of 30 lens elements, 17 on the enlargement side are the first optical system LN1, 13 on the reduction side are the second optical system LN2, and 2nd The optical system LN2 forms the intermediate image IM1 on the reduction side of the first optical system LN1. The zooming is performed only by the second optical system LN2. In the second optical system LN2, the second-second group Gr2-2 is positive, the second-third group Gr2-3 is positive, and the second-second group LN2 is second in order from the enlargement side. The fourth group Gr2-4 has a positive four-component zoom and the final group GrE has a positive four-component zoom.
実施例4の第2光学系LN2では、最終群GrEが固定群であり、変倍時には位置固定(軌跡mE)となっている。広角端(W)から望遠端(T)への変倍において、第2-2群Gr2-2と第2-3群Gr2-3と第2-4群Gr2-4は拡大側に移動する(移動軌跡m2-2,m2-3,m2-4)。第2光学系LN2内の軸外主光線と軸上主光線との交わる位置より拡大側には、移動群である第2-2群Gr2-2と第2-3群Gr2-3が位置しており、第2-2群Gr2-2の移動量が最も小さくなっている。
In the second optical system LN2 of Example 4, the final group GrE is a fixed group, and the position is fixed (trajectory mE) during zooming. During zooming from the wide-angle end (W) to the telephoto end (T), the second-second lens unit Gr2-2, the second-third lens unit Gr2-3, and the second-fourth lens unit Gr2-4 move to the enlargement side ( Movement loci m2-2, m2-3, m2-4). The second-second group Gr2-2 and the second-third group Gr2-3, which are moving groups, are located on the enlargement side of the position where the off-axis chief ray and the on-axis chief ray intersect in the second optical system LN2. Therefore, the moving amount of the second-second lens unit Gr2-2 is the smallest.
実施例4の第1光学系LN1(軌跡m1)は、中間像IM1を画角100.3°に拡大投影する。第1光学系LN1は、拡大側から順に、拡大側に凸の負メニスカスレンズと、拡大側に凸の正メニスカスレンズと、拡大側に凸の負メニスカスレンズと、拡大側に凸の負メニスカスレンズと、を有しており、非球面を有していない。また実施例4では、第1光学系LN1内の拡大側から8番目のレンズと9番目のレンズとの間の最大空気間隔に、反射光学素子RDを配置することで折り曲げ投影を行うことができるように構成されている。
The first optical system LN1 (trajectory m1) of the fourth embodiment magnifies and projects the intermediate image IM1 to the angle of view of 100.3°. The first optical system LN1 includes, in order from the magnification side, a negative meniscus lens convex on the magnification side, a positive meniscus lens convex on the magnification side, a negative meniscus lens convex on the magnification side, and a negative meniscus lens convex on the magnification side. And, and does not have an aspherical surface. In the fourth embodiment, bending projection can be performed by disposing the reflective optical element RD at the maximum air space between the eighth lens and the ninth lens from the enlargement side in the first optical system LN1. Is configured.
実施例1
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 347.535 10.446 1.51680 64.20
2 1843.970 0.609
3 157.545 5.200 1.58913 61.25
4 37.856 22.165
5 -134.446 3.000 1.63854 55.45
6 107.986 4.420
7* 706.256 6.160 1.80835 40.55
8 78.641 3.462
9 85.308 2.200 1.91650 31.60
10 36.000 20.723
11 -29.623 3.200 1.84666 23.78
12 -177.291 2.333
13 -173.887 14.166 1.70154 41.15
14 -41.009 0.300
15 2240.582 9.555 1.71736 29.50
16 -98.596 37.767
17 107.255 7.519 1.80518 25.46
18 982.291 72.563
19 -134.636 1.900 1.91650 31.60
20 55.990 1.255
21 51.776 10.730 1.43700 95.10
22 -51.088 1.325
23 37.896 14.078 1.43700 95.10
24 -70.429 4.169
25 -49.938 2.300 1.56883 56.04
26 39.876 3.943
27 52.441 11.980 1.49700 81.61
28 -95.286 0.955
29 53.512 9.999 1.49700 81.61
30 -236.314 27.002
31 -36.853 1.913 1.70154 41.15
32 45.920 6.104
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 110.749 8.610 1.80518 25.46
36 -107.176 11.433
37(IM1) infinity 8.013
38 37.470 8.651 1.80518 25.46
39 83.696 10.535
40 -36.359 2.400 1.72342 37.99
41 139.437 variable
42 -33.941 7.142 1.63854 55.45
43 -28.154 2.560
44 -258.122 2.529 1.80518 25.46
45 124.182 2.495
46 117.571 11.583 1.72342 37.99
47 -60.904 variable
48 -2931.330 4.109 1.51680 64.20
49 -161.957 11.573
50 204.790 1.975 1.91650 31.60
51 68.310 2.232
52 59.208 6.496 1.60342 38.01
53 -421.378 variable
54(ST,PA) infinity 18.562
55 -41.285 2.300 1.72916 54.67
56 93.488 2.950
57 70.612 9.514 1.49700 81.61
58 -42.801 1.000
59 124.004 9.642 1.49700 81.61
60 -46.111 2.868
61 -38.123 2.200 1.69680 55.46
62 69.703 2.869
63 107.216 6.482 1.49700 81.61
64 -216.725 0.300
65 126.187 10.934 1.49700 81.61
66 -58.116 variable
67 109.886 6.348 1.59410 60.47
68 -995.872 15.300
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity Example 1
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 347.535 10.446 1.51680 64.20
2 1843.970 0.609
3 157.545 5.200 1.58913 61.25
4 37.856 22.165
5 -134.446 3.000 1.63854 55.45
6 107.986 4.420
7* 706.256 6.160 1.80835 40.55
8 78.641 3.462
9 85.308 2.200 1.91650 31.60
10 36.000 20.723
11 -29.623 3.200 1.84666 23.78
12 -177.291 2.333
13 -173.887 14.166 1.70154 41.15
14 -41.009 0.300
15 2240.582 9.555 1.71736 29.50
16 -98.596 37.767
17 107.255 7.519 1.80518 25.46
18 982.291 72.563
19 -134.636 1.900 1.91650 31.60
20 55.990 1.255
21 51.776 10.730 1.43700 95.10
22 -51.088 1.325
23 37.896 14.078 1.43700 95.10
24 -70.429 4.169
25 -49.938 2.300 1.56883 56.04
26 39.876 3.943
27 52.441 11.980 1.49700 81.61
28 -95.286 0.955
29 53.512 9.999 1.49700 81.61
30 -236.314 27.002
31 -36.853 1.913 1.70154 41.15
32 45.920 6.104
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 110.749 8.610 1.80518 25.46
36 -107.176 11.433
37(IM1) infinity 8.013
38 37.470 8.651 1.80518 25.46
39 83.696 10.535
40 -36.359 2.400 1.72342 37.99
41 139.437 variable
42 -33.941 7.142 1.63854 55.45
43 -28.154 2.560
44 -258.122 2.529 1.80518 25.46
45 124.182 2.495
46 117.571 11.583 1.72342 37.99
47 -60.904 variable
48 -2931.330 4.109 1.51680 64.20
49 -161.957 11.573
50 204.790 1.975 1.91650 31.60
51 68.310 2.232
52 59.208 6.496 1.60342 38.01
53 -421.378 variable
54(ST,PA) infinity 18.562
55 -41.285 2.300 1.72916 54.67
56 93.488 2.950
57 70.612 9.514 1.49700 81.61
58 -42.801 1.000
59 124.004 9.642 1.49700 81.61
60 -46.111 2.868
61 -38.123 2.200 1.69680 55.46
62 69.703 2.869
63 107.216 6.482 1.49700 81.61
64 -216.725 0.300
65 126.187 10.934 1.49700 81.61
66 -58.116 variable
67 109.886 6.348 1.59410 60.47
68 -995.872 15.300
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 347.535 10.446 1.51680 64.20
2 1843.970 0.609
3 157.545 5.200 1.58913 61.25
4 37.856 22.165
5 -134.446 3.000 1.63854 55.45
6 107.986 4.420
7* 706.256 6.160 1.80835 40.55
8 78.641 3.462
9 85.308 2.200 1.91650 31.60
10 36.000 20.723
11 -29.623 3.200 1.84666 23.78
12 -177.291 2.333
13 -173.887 14.166 1.70154 41.15
14 -41.009 0.300
15 2240.582 9.555 1.71736 29.50
16 -98.596 37.767
17 107.255 7.519 1.80518 25.46
18 982.291 72.563
19 -134.636 1.900 1.91650 31.60
20 55.990 1.255
21 51.776 10.730 1.43700 95.10
22 -51.088 1.325
23 37.896 14.078 1.43700 95.10
24 -70.429 4.169
25 -49.938 2.300 1.56883 56.04
26 39.876 3.943
27 52.441 11.980 1.49700 81.61
28 -95.286 0.955
29 53.512 9.999 1.49700 81.61
30 -236.314 27.002
31 -36.853 1.913 1.70154 41.15
32 45.920 6.104
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 110.749 8.610 1.80518 25.46
36 -107.176 11.433
37(IM1) infinity 8.013
38 37.470 8.651 1.80518 25.46
39 83.696 10.535
40 -36.359 2.400 1.72342 37.99
41 139.437 variable
42 -33.941 7.142 1.63854 55.45
43 -28.154 2.560
44 -258.122 2.529 1.80518 25.46
45 124.182 2.495
46 117.571 11.583 1.72342 37.99
47 -60.904 variable
48 -2931.330 4.109 1.51680 64.20
49 -161.957 11.573
50 204.790 1.975 1.91650 31.60
51 68.310 2.232
52 59.208 6.496 1.60342 38.01
53 -421.378 variable
54(ST,PA) infinity 18.562
55 -41.285 2.300 1.72916 54.67
56 93.488 2.950
57 70.612 9.514 1.49700 81.61
58 -42.801 1.000
59 124.004 9.642 1.49700 81.61
60 -46.111 2.868
61 -38.123 2.200 1.69680 55.46
62 69.703 2.869
63 107.216 6.482 1.49700 81.61
64 -216.725 0.300
65 126.187 10.934 1.49700 81.61
66 -58.116 variable
67 109.886 6.348 1.59410 60.47
68 -995.872 15.300
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity Example 1
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 347.535 10.446 1.51680 64.20
2 1843.970 0.609
3 157.545 5.200 1.58913 61.25
4 37.856 22.165
5 -134.446 3.000 1.63854 55.45
6 107.986 4.420
7* 706.256 6.160 1.80835 40.55
8 78.641 3.462
9 85.308 2.200 1.91650 31.60
10 36.000 20.723
11 -29.623 3.200 1.84666 23.78
12 -177.291 2.333
13 -173.887 14.166 1.70154 41.15
14 -41.009 0.300
15 2240.582 9.555 1.71736 29.50
16 -98.596 37.767
17 107.255 7.519 1.80518 25.46
18 982.291 72.563
19 -134.636 1.900 1.91650 31.60
20 55.990 1.255
21 51.776 10.730 1.43700 95.10
22 -51.088 1.325
23 37.896 14.078 1.43700 95.10
24 -70.429 4.169
25 -49.938 2.300 1.56883 56.04
26 39.876 3.943
27 52.441 11.980 1.49700 81.61
28 -95.286 0.955
29 53.512 9.999 1.49700 81.61
30 -236.314 27.002
31 -36.853 1.913 1.70154 41.15
32 45.920 6.104
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 110.749 8.610 1.80518 25.46
36 -107.176 11.433
37(IM1) infinity 8.013
38 37.470 8.651 1.80518 25.46
39 83.696 10.535
40 -36.359 2.400 1.72342 37.99
41 139.437 variable
42 -33.941 7.142 1.63854 55.45
43 -28.154 2.560
44 -258.122 2.529 1.80518 25.46
45 124.182 2.495
46 117.571 11.583 1.72342 37.99
47 -60.904 variable
48 -2931.330 4.109 1.51680 64.20
49 -161.957 11.573
50 204.790 1.975 1.91650 31.60
51 68.310 2.232
52 59.208 6.496 1.60342 38.01
53 -421.378 variable
54(ST,PA) infinity 18.562
55 -41.285 2.300 1.72916 54.67
56 93.488 2.950
57 70.612 9.514 1.49700 81.61
58 -42.801 1.000
59 124.004 9.642 1.49700 81.61
60 -46.111 2.868
61 -38.123 2.200 1.69680 55.46
62 69.703 2.869
63 107.216 6.482 1.49700 81.61
64 -216.725 0.300
65 126.187 10.934 1.49700 81.61
66 -58.116 variable
67 109.886 6.348 1.59410 60.47
68 -995.872 15.300
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity
非球面データ
i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000 Aspheric surface data i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000
i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000 Aspheric surface data i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000
各種データ
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.422 -2.500 -2.579
ω -56.767 -54.119 -51.521
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.034 12.026 12.123
d47 40.961 24.259 9.482
d53 25.884 31.874 35.832
d66 10.894 21.614 32.336 Various data
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.422 -2.500 -2.579
ω -56.767 -54.119 -51.521
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.034 12.026 12.123
d47 40.961 24.259 9.482
d53 25.884 31.874 35.832
d66 10.894 21.614 32.336
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.422 -2.500 -2.579
ω -56.767 -54.119 -51.521
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.034 12.026 12.123
d47 40.961 24.259 9.482
d53 25.884 31.874 35.832
d66 10.894 21.614 32.336 Various data
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.422 -2.500 -2.579
ω -56.767 -54.119 -51.521
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.034 12.026 12.123
d47 40.961 24.259 9.482
d53 25.884 31.874 35.832
d66 10.894 21.614 32.336
ズームレンズ群データ
群 ( 面 i ) 焦点距離
1 ( 1- 41) 9.573
2 ( 42- 47) 67.948
3 ( 48- 53) 174.303
4 ( 54- 66) 163.587
5 ( 67- 72) 166.938 Zoom lens group data group (plane i) Focal length 1 (1-41) 9.573
2 (42- 47) 67.948
3 (48-53) 174.303
4 (54-66) 163.587
5 (67-72) 166.938
群 ( 面 i ) 焦点距離
1 ( 1- 41) 9.573
2 ( 42- 47) 67.948
3 ( 48- 53) 174.303
4 ( 54- 66) 163.587
5 ( 67- 72) 166.938 Zoom lens group data group (plane i) Focal length 1 (1-41) 9.573
2 (42- 47) 67.948
3 (48-53) 174.303
4 (54-66) 163.587
5 (67-72) 166.938
実施例2
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 182.621 15.000 1.51680 64.20
2 708.582 0.300
3 218.877 4.700 1.58913 61.25
4 38.592 15.554
5 108.461 3.000 1.63854 55.45
6 28.260 13.059
7* 706.256 6.160 1.80835 40.55
8 78.641 2.829
9 69.184 2.200 1.91650 31.60
10 37.355 17.504
11 -23.624 2.700 1.84666 23.78
12 -77.980 2.600
13 -76.767 11.828 1.70154 41.15
14 -33.454 1.897
15 -540.740 7.100 1.71736 29.50
16 -96.094 0.300
17 99.912 7.841 1.80518 25.46
18 5976.866 74.089
19 -1049.310 1.900 1.91650 31.60
20 52.364 1.238
21 41.676 8.740 1.43700 95.10
22 -64.694 2.716
23 37.111 10.009 1.43700 95.10
24 -79.090 4.384
25 -45.330 2.300 1.56883 56.04
26 39.985 4.894
27 82.288 8.342 1.49700 81.61
28 -93.492 0.500
29 55.928 9.533 1.49700 81.61
30 -110.605 29.953
31 -45.875 1.900 1.70154 41.15
32 41.845 6.424
33 200.231 8.680 1.80835 40.55
34* -43.913 9.704
35 59.728 10.734 1.80518 25.46
36 -789.080 4.000
37(IM1) infinity 26.294
38 36.470 8.835 1.72825 28.32
39 97.052 8.394
40 -68.216 1.900 1.61800 63.39
41 50.795 variable
42 52.279 9.554 1.60311 60.69
43 -82.815 2.001
44 -78.119 2.500 1.80518 25.46
45 64.430 13.117
46 510.323 6.250 1.80610 33.27
47 -71.836 variable
48 480.610 4.999 1.51680 64.20
49 -248.219 12.297
50 137.367 1.900 1.91082 35.25
51 56.855 1.861
52 57.264 8.023 1.54072 47.20
53 -192.652 variable
54(ST,PA) infinity 45.738
55 -85.182 1.800 1.72916 54.67
56 99.178 0.300
57 52.445 11.247 1.49700 81.61
58 -61.034 1.000
59 73.618 8.405 1.49700 81.61
60 -91.477 4.816
61 -46.154 2.200 1.69680 55.46
62 58.216 3.482
63 99.578 7.830 1.49700 81.61
64 -117.891 0.300
65 1493.828 2.500 1.49700 81.61
66 427.786 0.300
67 104.543 10.048 1.59410 60.47
68 -81.577 22.836
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity Example 2
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 182.621 15.000 1.51680 64.20
2 708.582 0.300
3 218.877 4.700 1.58913 61.25
4 38.592 15.554
5 108.461 3.000 1.63854 55.45
6 28.260 13.059
7* 706.256 6.160 1.80835 40.55
8 78.641 2.829
9 69.184 2.200 1.91650 31.60
10 37.355 17.504
11 -23.624 2.700 1.84666 23.78
12 -77.980 2.600
13 -76.767 11.828 1.70154 41.15
14 -33.454 1.897
15 -540.740 7.100 1.71736 29.50
16 -96.094 0.300
17 99.912 7.841 1.80518 25.46
18 5976.866 74.089
19 -1049.310 1.900 1.91650 31.60
20 52.364 1.238
21 41.676 8.740 1.43700 95.10
22 -64.694 2.716
23 37.111 10.009 1.43700 95.10
24 -79.090 4.384
25 -45.330 2.300 1.56883 56.04
26 39.985 4.894
27 82.288 8.342 1.49700 81.61
28 -93.492 0.500
29 55.928 9.533 1.49700 81.61
30 -110.605 29.953
31 -45.875 1.900 1.70154 41.15
32 41.845 6.424
33 200.231 8.680 1.80835 40.55
34* -43.913 9.704
35 59.728 10.734 1.80518 25.46
36 -789.080 4.000
37(IM1) infinity 26.294
38 36.470 8.835 1.72825 28.32
39 97.052 8.394
40 -68.216 1.900 1.61800 63.39
41 50.795 variable
42 52.279 9.554 1.60311 60.69
43 -82.815 2.001
44 -78.119 2.500 1.80518 25.46
45 64.430 13.117
46 510.323 6.250 1.80610 33.27
47 -71.836 variable
48 480.610 4.999 1.51680 64.20
49 -248.219 12.297
50 137.367 1.900 1.91082 35.25
51 56.855 1.861
52 57.264 8.023 1.54072 47.20
53 -192.652 variable
54(ST,PA) infinity 45.738
55 -85.182 1.800 1.72916 54.67
56 99.178 0.300
57 52.445 11.247 1.49700 81.61
58 -61.034 1.000
59 73.618 8.405 1.49700 81.61
60 -91.477 4.816
61 -46.154 2.200 1.69680 55.46
62 58.216 3.482
63 99.578 7.830 1.49700 81.61
64 -117.891 0.300
65 1493.828 2.500 1.49700 81.61
66 427.786 0.300
67 104.543 10.048 1.59410 60.47
68 -81.577 22.836
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 182.621 15.000 1.51680 64.20
2 708.582 0.300
3 218.877 4.700 1.58913 61.25
4 38.592 15.554
5 108.461 3.000 1.63854 55.45
6 28.260 13.059
7* 706.256 6.160 1.80835 40.55
8 78.641 2.829
9 69.184 2.200 1.91650 31.60
10 37.355 17.504
11 -23.624 2.700 1.84666 23.78
12 -77.980 2.600
13 -76.767 11.828 1.70154 41.15
14 -33.454 1.897
15 -540.740 7.100 1.71736 29.50
16 -96.094 0.300
17 99.912 7.841 1.80518 25.46
18 5976.866 74.089
19 -1049.310 1.900 1.91650 31.60
20 52.364 1.238
21 41.676 8.740 1.43700 95.10
22 -64.694 2.716
23 37.111 10.009 1.43700 95.10
24 -79.090 4.384
25 -45.330 2.300 1.56883 56.04
26 39.985 4.894
27 82.288 8.342 1.49700 81.61
28 -93.492 0.500
29 55.928 9.533 1.49700 81.61
30 -110.605 29.953
31 -45.875 1.900 1.70154 41.15
32 41.845 6.424
33 200.231 8.680 1.80835 40.55
34* -43.913 9.704
35 59.728 10.734 1.80518 25.46
36 -789.080 4.000
37(IM1) infinity 26.294
38 36.470 8.835 1.72825 28.32
39 97.052 8.394
40 -68.216 1.900 1.61800 63.39
41 50.795 variable
42 52.279 9.554 1.60311 60.69
43 -82.815 2.001
44 -78.119 2.500 1.80518 25.46
45 64.430 13.117
46 510.323 6.250 1.80610 33.27
47 -71.836 variable
48 480.610 4.999 1.51680 64.20
49 -248.219 12.297
50 137.367 1.900 1.91082 35.25
51 56.855 1.861
52 57.264 8.023 1.54072 47.20
53 -192.652 variable
54(ST,PA) infinity 45.738
55 -85.182 1.800 1.72916 54.67
56 99.178 0.300
57 52.445 11.247 1.49700 81.61
58 -61.034 1.000
59 73.618 8.405 1.49700 81.61
60 -91.477 4.816
61 -46.154 2.200 1.69680 55.46
62 58.216 3.482
63 99.578 7.830 1.49700 81.61
64 -117.891 0.300
65 1493.828 2.500 1.49700 81.61
66 427.786 0.300
67 104.543 10.048 1.59410 60.47
68 -81.577 22.836
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity Example 2
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 182.621 15.000 1.51680 64.20
2 708.582 0.300
3 218.877 4.700 1.58913 61.25
4 38.592 15.554
5 108.461 3.000 1.63854 55.45
6 28.260 13.059
7* 706.256 6.160 1.80835 40.55
8 78.641 2.829
9 69.184 2.200 1.91650 31.60
10 37.355 17.504
11 -23.624 2.700 1.84666 23.78
12 -77.980 2.600
13 -76.767 11.828 1.70154 41.15
14 -33.454 1.897
15 -540.740 7.100 1.71736 29.50
16 -96.094 0.300
17 99.912 7.841 1.80518 25.46
18 5976.866 74.089
19 -1049.310 1.900 1.91650 31.60
20 52.364 1.238
21 41.676 8.740 1.43700 95.10
22 -64.694 2.716
23 37.111 10.009 1.43700 95.10
24 -79.090 4.384
25 -45.330 2.300 1.56883 56.04
26 39.985 4.894
27 82.288 8.342 1.49700 81.61
28 -93.492 0.500
29 55.928 9.533 1.49700 81.61
30 -110.605 29.953
31 -45.875 1.900 1.70154 41.15
32 41.845 6.424
33 200.231 8.680 1.80835 40.55
34* -43.913 9.704
35 59.728 10.734 1.80518 25.46
36 -789.080 4.000
37(IM1) infinity 26.294
38 36.470 8.835 1.72825 28.32
39 97.052 8.394
40 -68.216 1.900 1.61800 63.39
41 50.795 variable
42 52.279 9.554 1.60311 60.69
43 -82.815 2.001
44 -78.119 2.500 1.80518 25.46
45 64.430 13.117
46 510.323 6.250 1.80610 33.27
47 -71.836 variable
48 480.610 4.999 1.51680 64.20
49 -248.219 12.297
50 137.367 1.900 1.91082 35.25
51 56.855 1.861
52 57.264 8.023 1.54072 47.20
53 -192.652 variable
54(ST,PA) infinity 45.738
55 -85.182 1.800 1.72916 54.67
56 99.178 0.300
57 52.445 11.247 1.49700 81.61
58 -61.034 1.000
59 73.618 8.405 1.49700 81.61
60 -91.477 4.816
61 -46.154 2.200 1.69680 55.46
62 58.216 3.482
63 99.578 7.830 1.49700 81.61
64 -117.891 0.300
65 1493.828 2.500 1.49700 81.61
66 427.786 0.300
67 104.543 10.048 1.59410 60.47
68 -81.577 22.836
69 infinity 91.000 1.51680 64.20
70 infinity 5.000
71 infinity 3.000 1.48749 70.44
72 infinity 1.500
image(IM2) infinity
非球面データ
i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000 Aspheric surface data i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000
i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000 Aspheric surface data i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000
各種データ
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.436 -12.706 -13.975
Fno. -2.499 -2.500 -2.500
ω -56.818 -54.211 -51.625
ymax 17.700 17.700 17.700
TL 671.049 671.049 671.049
BF 91.348 91.348 91.348
d41 3.000 8.372 12.751
d47 52.199 30.772 9.429
d53 2.000 18.055 35.019 Various data
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.436 -12.706 -13.975
Fno. -2.499 -2.500 -2.500
ω -56.818 -54.211 -51.625
ymax 17.700 17.700 17.700
TL 671.049 671.049 671.049
BF 91.348 91.348 91.348
d41 3.000 8.372 12.751
d47 52.199 30.772 9.429
d53 2.000 18.055 35.019
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.436 -12.706 -13.975
Fno. -2.499 -2.500 -2.500
ω -56.818 -54.211 -51.625
ymax 17.700 17.700 17.700
TL 671.049 671.049 671.049
BF 91.348 91.348 91.348
d41 3.000 8.372 12.751
d47 52.199 30.772 9.429
d53 2.000 18.055 35.019 Various data
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.436 -12.706 -13.975
Fno. -2.499 -2.500 -2.500
ω -56.818 -54.211 -51.625
ymax 17.700 17.700 17.700
TL 671.049 671.049 671.049
BF 91.348 91.348 91.348
d41 3.000 8.372 12.751
d47 52.199 30.772 9.429
d53 2.000 18.055 35.019
ズームレンズ群データ
群 ( 面 i ) 焦点距離
1 ( 1- 41) 10.831
2 ( 42- 47) 103.006
3 ( 48- 53) 166.532
4 ( 54- 72) 93.874 Zoom lens group data group (surface i) Focal length 1 (1-41) 10.831
2 (42- 47) 103.006
3 (48-53) 166.532
4 (54- 72) 93.874
群 ( 面 i ) 焦点距離
1 ( 1- 41) 10.831
2 ( 42- 47) 103.006
3 ( 48- 53) 166.532
4 ( 54- 72) 93.874 Zoom lens group data group (surface i) Focal length 1 (1-41) 10.831
2 (42- 47) 103.006
3 (48-53) 166.532
4 (54- 72) 93.874
実施例3
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 297.721 11.365 1.51680 64.20
2 1550.058 0.300
3 166.995 4.700 1.58913 61.25
4 38.112 22.600
5 -123.131 3.000 1.63854 55.45
6 212.675 3.096
7* 706.256 6.160 1.80835 40.55
8 78.641 3.217
9 77.132 2.200 1.91650 31.60
10 32.395 18.329
11 -30.997 2.700 1.84666 23.78
12 -219.887 2.433
13 -188.726 12.515 1.70154 41.15
14 -41.616 15.317
15 infinity 8.758 1.71736 29.50
16 -104.426 0.300
17 132.639 8.422 1.80518 25.46
18 9074.126 83.377
19 -288.764 1.900 1.91650 31.60
20 56.019 1.220
21 50.649 10.514 1.43700 95.10
22 -53.421 0.300
23 36.762 13.109 1.43700 95.10
24 -84.646 4.246
25 -54.915 2.300 1.56883 56.04
26 37.507 3.869
27 48.737 10.973 1.49700 81.61
28 -136.737 0.500
29 57.606 9.538 1.49700 81.61
30 -172.471 26.852
31 -35.378 1.900 1.70154 41.15
32 45.716 6.131
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 121.832 10.457 1.80518 25.46
36 -96.810 9.682
37(IM1) infinity 11.970
38 44.242 6.639 1.80518 25.46
39 85.443 12.734
40 -34.375 1.900 1.72342 37.99
41 708.867 variable
42 -48.579 9.964 1.63854 55.45
43 -33.028 0.300
44 -425.203 2.500 1.80518 25.46
45 98.261 3.345
46 104.406 13.657 1.72342 37.99
47 -74.984 variable
48 -526.057 4.566 1.51680 64.20
49 -129.295 22.800
50 409.574 1.900 1.91650 31.60
51 89.656 1.939
52 74.737 6.521 1.60342 38.01
53 -211.358 variable
54 -118.302 1.738 1.61800 63.39
55 -166.439 variable
56(ST,PA) infinity 17.403
57 -42.394 1.800 1.72916 54.67
58 90.288 4.120
59 66.176 9.332 1.49700 81.61
60 -43.619 1.000
61 124.924 9.242 1.49700 81.61
62 -45.616 2.869
63 -37.222 2.200 1.69680 55.46
64 68.424 2.788
65 103.954 6.162 1.49700 81.61
66 -246.132 0.300
67 153.163 10.168 1.49700 81.61
68 -56.224 variable
69 100.392 6.740 1.59410 60.47
70 -770.789 15.300
71 infinity 91.000 1.51680 64.20
72 infinity 5.000
73 infinity 3.000 1.48749 70.44
74 infinity 1.500
image(IM2) infinity Example 3
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 297.721 11.365 1.51680 64.20
2 1550.058 0.300
3 166.995 4.700 1.58913 61.25
4 38.112 22.600
5 -123.131 3.000 1.63854 55.45
6 212.675 3.096
7* 706.256 6.160 1.80835 40.55
8 78.641 3.217
9 77.132 2.200 1.91650 31.60
10 32.395 18.329
11 -30.997 2.700 1.84666 23.78
12 -219.887 2.433
13 -188.726 12.515 1.70154 41.15
14 -41.616 15.317
15 infinity 8.758 1.71736 29.50
16 -104.426 0.300
17 132.639 8.422 1.80518 25.46
18 9074.126 83.377
19 -288.764 1.900 1.91650 31.60
20 56.019 1.220
21 50.649 10.514 1.43700 95.10
22 -53.421 0.300
23 36.762 13.109 1.43700 95.10
24 -84.646 4.246
25 -54.915 2.300 1.56883 56.04
26 37.507 3.869
27 48.737 10.973 1.49700 81.61
28 -136.737 0.500
29 57.606 9.538 1.49700 81.61
30 -172.471 26.852
31 -35.378 1.900 1.70154 41.15
32 45.716 6.131
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 121.832 10.457 1.80518 25.46
36 -96.810 9.682
37(IM1) infinity 11.970
38 44.242 6.639 1.80518 25.46
39 85.443 12.734
40 -34.375 1.900 1.72342 37.99
41 708.867 variable
42 -48.579 9.964 1.63854 55.45
43 -33.028 0.300
44 -425.203 2.500 1.80518 25.46
45 98.261 3.345
46 104.406 13.657 1.72342 37.99
47 -74.984 variable
48 -526.057 4.566 1.51680 64.20
49 -129.295 22.800
50 409.574 1.900 1.91650 31.60
51 89.656 1.939
52 74.737 6.521 1.60342 38.01
53 -211.358 variable
54 -118.302 1.738 1.61800 63.39
55 -166.439 variable
56(ST,PA) infinity 17.403
57 -42.394 1.800 1.72916 54.67
58 90.288 4.120
59 66.176 9.332 1.49700 81.61
60 -43.619 1.000
61 124.924 9.242 1.49700 81.61
62 -45.616 2.869
63 -37.222 2.200 1.69680 55.46
64 68.424 2.788
65 103.954 6.162 1.49700 81.61
66 -246.132 0.300
67 153.163 10.168 1.49700 81.61
68 -56.224 variable
69 100.392 6.740 1.59410 60.47
70 -770.789 15.300
71 infinity 91.000 1.51680 64.20
72 infinity 5.000
73 infinity 3.000 1.48749 70.44
74 infinity 1.500
image(IM2) infinity
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 297.721 11.365 1.51680 64.20
2 1550.058 0.300
3 166.995 4.700 1.58913 61.25
4 38.112 22.600
5 -123.131 3.000 1.63854 55.45
6 212.675 3.096
7* 706.256 6.160 1.80835 40.55
8 78.641 3.217
9 77.132 2.200 1.91650 31.60
10 32.395 18.329
11 -30.997 2.700 1.84666 23.78
12 -219.887 2.433
13 -188.726 12.515 1.70154 41.15
14 -41.616 15.317
15 infinity 8.758 1.71736 29.50
16 -104.426 0.300
17 132.639 8.422 1.80518 25.46
18 9074.126 83.377
19 -288.764 1.900 1.91650 31.60
20 56.019 1.220
21 50.649 10.514 1.43700 95.10
22 -53.421 0.300
23 36.762 13.109 1.43700 95.10
24 -84.646 4.246
25 -54.915 2.300 1.56883 56.04
26 37.507 3.869
27 48.737 10.973 1.49700 81.61
28 -136.737 0.500
29 57.606 9.538 1.49700 81.61
30 -172.471 26.852
31 -35.378 1.900 1.70154 41.15
32 45.716 6.131
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 121.832 10.457 1.80518 25.46
36 -96.810 9.682
37(IM1) infinity 11.970
38 44.242 6.639 1.80518 25.46
39 85.443 12.734
40 -34.375 1.900 1.72342 37.99
41 708.867 variable
42 -48.579 9.964 1.63854 55.45
43 -33.028 0.300
44 -425.203 2.500 1.80518 25.46
45 98.261 3.345
46 104.406 13.657 1.72342 37.99
47 -74.984 variable
48 -526.057 4.566 1.51680 64.20
49 -129.295 22.800
50 409.574 1.900 1.91650 31.60
51 89.656 1.939
52 74.737 6.521 1.60342 38.01
53 -211.358 variable
54 -118.302 1.738 1.61800 63.39
55 -166.439 variable
56(ST,PA) infinity 17.403
57 -42.394 1.800 1.72916 54.67
58 90.288 4.120
59 66.176 9.332 1.49700 81.61
60 -43.619 1.000
61 124.924 9.242 1.49700 81.61
62 -45.616 2.869
63 -37.222 2.200 1.69680 55.46
64 68.424 2.788
65 103.954 6.162 1.49700 81.61
66 -246.132 0.300
67 153.163 10.168 1.49700 81.61
68 -56.224 variable
69 100.392 6.740 1.59410 60.47
70 -770.789 15.300
71 infinity 91.000 1.51680 64.20
72 infinity 5.000
73 infinity 3.000 1.48749 70.44
74 infinity 1.500
image(IM2) infinity Example 3
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 297.721 11.365 1.51680 64.20
2 1550.058 0.300
3 166.995 4.700 1.58913 61.25
4 38.112 22.600
5 -123.131 3.000 1.63854 55.45
6 212.675 3.096
7* 706.256 6.160 1.80835 40.55
8 78.641 3.217
9 77.132 2.200 1.91650 31.60
10 32.395 18.329
11 -30.997 2.700 1.84666 23.78
12 -219.887 2.433
13 -188.726 12.515 1.70154 41.15
14 -41.616 15.317
15 infinity 8.758 1.71736 29.50
16 -104.426 0.300
17 132.639 8.422 1.80518 25.46
18 9074.126 83.377
19 -288.764 1.900 1.91650 31.60
20 56.019 1.220
21 50.649 10.514 1.43700 95.10
22 -53.421 0.300
23 36.762 13.109 1.43700 95.10
24 -84.646 4.246
25 -54.915 2.300 1.56883 56.04
26 37.507 3.869
27 48.737 10.973 1.49700 81.61
28 -136.737 0.500
29 57.606 9.538 1.49700 81.61
30 -172.471 26.852
31 -35.378 1.900 1.70154 41.15
32 45.716 6.131
33 200.231 8.680 1.80835 40.55
34* -43.913 4.000
35 121.832 10.457 1.80518 25.46
36 -96.810 9.682
37(IM1) infinity 11.970
38 44.242 6.639 1.80518 25.46
39 85.443 12.734
40 -34.375 1.900 1.72342 37.99
41 708.867 variable
42 -48.579 9.964 1.63854 55.45
43 -33.028 0.300
44 -425.203 2.500 1.80518 25.46
45 98.261 3.345
46 104.406 13.657 1.72342 37.99
47 -74.984 variable
48 -526.057 4.566 1.51680 64.20
49 -129.295 22.800
50 409.574 1.900 1.91650 31.60
51 89.656 1.939
52 74.737 6.521 1.60342 38.01
53 -211.358 variable
54 -118.302 1.738 1.61800 63.39
55 -166.439 variable
56(ST,PA) infinity 17.403
57 -42.394 1.800 1.72916 54.67
58 90.288 4.120
59 66.176 9.332 1.49700 81.61
60 -43.619 1.000
61 124.924 9.242 1.49700 81.61
62 -45.616 2.869
63 -37.222 2.200 1.69680 55.46
64 68.424 2.788
65 103.954 6.162 1.49700 81.61
66 -246.132 0.300
67 153.163 10.168 1.49700 81.61
68 -56.224 variable
69 100.392 6.740 1.59410 60.47
70 -770.789 15.300
71 infinity 91.000 1.51680 64.20
72 infinity 5.000
73 infinity 3.000 1.48749 70.44
74 infinity 1.500
image(IM2) infinity
非球面データ
i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000 Aspheric surface data i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000
i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000 Aspheric surface data i K A4 A6 A8
7 0.0000e+000 4.3870e-006 -2.3855e-009 1.2418e-012
34 0.0000e+000 1.8717e-005 -2.9859e-008 4.1374e-011
i A10 A12 A14 A16
7 -2.2387e-016 0.0000e+000 0.0000e+000 0.0000e+000
34 -4.0688e-014 1.7008e-017 0.0000e+000 0.0000e+000
各種データ
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.421 -2.500 -2.578
ω -56.748 -54.205 -51.620
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.587 12.026 11.762
d47 39.681 24.292 10.902
d53 4.972 20.923 34.577
d55 25.349 14.053 3.088
d68 10.056 21.352 32.317 Various data
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.421 -2.500 -2.578
ω -56.748 -54.205 -51.620
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.587 12.026 11.762
d47 39.681 24.292 10.902
d53 4.972 20.923 34.577
d55 25.349 14.053 3.088
d68 10.056 21.352 32.317
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.421 -2.500 -2.578
ω -56.748 -54.205 -51.620
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.587 12.026 11.762
d47 39.681 24.292 10.902
d53 4.972 20.923 34.577
d55 25.349 14.053 3.088
d68 10.056 21.352 32.317 Various data
zoom ratio 1.22
Wide(W) Middle(M) Tele(T)
Fl -11.434 -12.704 -13.974
Fno. -2.421 -2.500 -2.578
ω -56.748 -54.205 -51.620
ymax 17.700 17.700 17.700
TL 688.012 688.012 688.012
BF 83.812 83.812 83.812
d41 12.587 12.026 11.762
d47 39.681 24.292 10.902
d53 4.972 20.923 34.577
d55 25.349 14.053 3.088
d68 10.056 21.352 32.317
ズームレンズ群データ
群 ( 面 i ) 焦点距離
1 ( 1- 41) 10.272
2 ( 42- 47) 68.996
3 ( 48- 53) 171.577
4 ( 54- 55) -671.134
5 ( 56- 68) 177.119
6 ( 69- 74) 149.941 Zoom lens group data group (plane i) Focal length 1 (1-41) 10.272
2 (42- 47) 68.996
3 (48-53) 171.577
4 (54-55) -671.134
5 (56-68) 177.119
6 (69- 74) 149.941
群 ( 面 i ) 焦点距離
1 ( 1- 41) 10.272
2 ( 42- 47) 68.996
3 ( 48- 53) 171.577
4 ( 54- 55) -671.134
5 ( 56- 68) 177.119
6 ( 69- 74) 149.941 Zoom lens group data group (plane i) Focal length 1 (1-41) 10.272
2 (42- 47) 68.996
3 (48-53) 171.577
4 (54-55) -671.134
5 (56-68) 177.119
6 (69- 74) 149.941
実施例4
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 84.071 5.700 1.80518 25.46
2 50.754 9.891
3 65.457 14.615 1.91082 35.25
4 159.535 0.300
5 50.070 3.300 1.90366 31.31
6 25.616 10.691
7 83.250 2.000 1.90366 31.31
8 23.972 11.872
9 -43.496 1.700 1.83400 37.34
10 64.368 21.829
11 -94.136 6.076 1.72916 54.67
12 -56.361 4.613
13 -298.395 10.706 1.43700 95.10
14 -40.477 0.300
15 94.341 5.874 1.84666 23.78
16 -1385.806 52.830
17 -44.105 1.900 1.90366 31.31
18 103.062 2.096
19 128.458 10.686 1.43700 95.10
20 -38.672 0.300
21 83.490 11.491 1.43700 95.10
22 -60.482 0.300
23 79.397 2.600 1.90366 31.31
24 46.786 0.300
25 35.033 14.652 1.43700 95.10
26 -164.596 0.500
27 60.155 7.179 1.49700 81.61
28 -694.341 6.069
29 -54.005 2.389 1.80610 33.27
30 37.038 11.094
31 115.280 6.689 1.80809 22.76
32 -168.630 31.507
33 66.408 9.378 1.90366 31.31
34 311.655 18.571
35(IM1) infinity variable
36 -103.410 6.644 1.90366 31.31
37 -55.359 16.559
38 -29.993 2.400 1.80518 25.46
39 -40.030 0.688
40 -55.757 5.393 1.72916 54.67
41 -36.353 variable
42 -890.792 4.803 1.91082 35.25
43 -73.547 5.214
44 -43.159 1.700 1.80518 25.46
45 -69.349 6.872
46 -95.497 3.995 1.48749 70.44
47 -42.690 variable
48(ST,PA) infinity 4.507
49 -31.248 1.100 1.71300 53.94
50 53.113 4.529
51 41.769 7.325 1.43700 95.10
52 -31.268 1.000
53 65.659 6.858 1.49700 81.61
54 -42.649 4.700
55 -25.993 1.800 1.69680 55.46
56 61.784 4.136
57 362.583 6.852 1.49700 81.61
58 -55.535 0.300
59 297.416 10.881 1.49700 81.61
60 -37.638 variable
61 93.852 6.967 1.49700 81.61
62 -260.393 16.000
63 infinity 42.000 1.51680 64.20
64 infinity 5.000
65 infinity 2.997 1.48749 70.44
66 infinity 1.480
image(IM2) infinity Example 4
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 84.071 5.700 1.80518 25.46
2 50.754 9.891
3 65.457 14.615 1.91082 35.25
4 159.535 0.300
5 50.070 3.300 1.90366 31.31
6 25.616 10.691
7 83.250 2.000 1.90366 31.31
8 23.972 11.872
9 -43.496 1.700 1.83400 37.34
10 64.368 21.829
11 -94.136 6.076 1.72916 54.67
12 -56.361 4.613
13 -298.395 10.706 1.43700 95.10
14 -40.477 0.300
15 94.341 5.874 1.84666 23.78
16 -1385.806 52.830
17 -44.105 1.900 1.90366 31.31
18 103.062 2.096
19 128.458 10.686 1.43700 95.10
20 -38.672 0.300
21 83.490 11.491 1.43700 95.10
22 -60.482 0.300
23 79.397 2.600 1.90366 31.31
24 46.786 0.300
25 35.033 14.652 1.43700 95.10
26 -164.596 0.500
27 60.155 7.179 1.49700 81.61
28 -694.341 6.069
29 -54.005 2.389 1.80610 33.27
30 37.038 11.094
31 115.280 6.689 1.80809 22.76
32 -168.630 31.507
33 66.408 9.378 1.90366 31.31
34 311.655 18.571
35(IM1) infinity variable
36 -103.410 6.644 1.90366 31.31
37 -55.359 16.559
38 -29.993 2.400 1.80518 25.46
39 -40.030 0.688
40 -55.757 5.393 1.72916 54.67
41 -36.353 variable
42 -890.792 4.803 1.91082 35.25
43 -73.547 5.214
44 -43.159 1.700 1.80518 25.46
45 -69.349 6.872
46 -95.497 3.995 1.48749 70.44
47 -42.690 variable
48(ST,PA) infinity 4.507
49 -31.248 1.100 1.71300 53.94
50 53.113 4.529
51 41.769 7.325 1.43700 95.10
52 -31.268 1.000
53 65.659 6.858 1.49700 81.61
54 -42.649 4.700
55 -25.993 1.800 1.69680 55.46
56 61.784 4.136
57 362.583 6.852 1.49700 81.61
58 -55.535 0.300
59 297.416 10.881 1.49700 81.61
60 -37.638 variable
61 93.852 6.967 1.49700 81.61
62 -260.393 16.000
63 infinity 42.000 1.51680 64.20
64 infinity 5.000
65 infinity 2.997 1.48749 70.44
66 infinity 1.480
image(IM2) infinity
単位:mm
面データ
i r d nd vd
object(SC) infinity infinity
1 84.071 5.700 1.80518 25.46
2 50.754 9.891
3 65.457 14.615 1.91082 35.25
4 159.535 0.300
5 50.070 3.300 1.90366 31.31
6 25.616 10.691
7 83.250 2.000 1.90366 31.31
8 23.972 11.872
9 -43.496 1.700 1.83400 37.34
10 64.368 21.829
11 -94.136 6.076 1.72916 54.67
12 -56.361 4.613
13 -298.395 10.706 1.43700 95.10
14 -40.477 0.300
15 94.341 5.874 1.84666 23.78
16 -1385.806 52.830
17 -44.105 1.900 1.90366 31.31
18 103.062 2.096
19 128.458 10.686 1.43700 95.10
20 -38.672 0.300
21 83.490 11.491 1.43700 95.10
22 -60.482 0.300
23 79.397 2.600 1.90366 31.31
24 46.786 0.300
25 35.033 14.652 1.43700 95.10
26 -164.596 0.500
27 60.155 7.179 1.49700 81.61
28 -694.341 6.069
29 -54.005 2.389 1.80610 33.27
30 37.038 11.094
31 115.280 6.689 1.80809 22.76
32 -168.630 31.507
33 66.408 9.378 1.90366 31.31
34 311.655 18.571
35(IM1) infinity variable
36 -103.410 6.644 1.90366 31.31
37 -55.359 16.559
38 -29.993 2.400 1.80518 25.46
39 -40.030 0.688
40 -55.757 5.393 1.72916 54.67
41 -36.353 variable
42 -890.792 4.803 1.91082 35.25
43 -73.547 5.214
44 -43.159 1.700 1.80518 25.46
45 -69.349 6.872
46 -95.497 3.995 1.48749 70.44
47 -42.690 variable
48(ST,PA) infinity 4.507
49 -31.248 1.100 1.71300 53.94
50 53.113 4.529
51 41.769 7.325 1.43700 95.10
52 -31.268 1.000
53 65.659 6.858 1.49700 81.61
54 -42.649 4.700
55 -25.993 1.800 1.69680 55.46
56 61.784 4.136
57 362.583 6.852 1.49700 81.61
58 -55.535 0.300
59 297.416 10.881 1.49700 81.61
60 -37.638 variable
61 93.852 6.967 1.49700 81.61
62 -260.393 16.000
63 infinity 42.000 1.51680 64.20
64 infinity 5.000
65 infinity 2.997 1.48749 70.44
66 infinity 1.480
image(IM2) infinity Example 4
Unit: mm
Surface data i r d nd vd
object(SC) infinity infinity
1 84.071 5.700 1.80518 25.46
2 50.754 9.891
3 65.457 14.615 1.91082 35.25
4 159.535 0.300
5 50.070 3.300 1.90366 31.31
6 25.616 10.691
7 83.250 2.000 1.90366 31.31
8 23.972 11.872
9 -43.496 1.700 1.83400 37.34
10 64.368 21.829
11 -94.136 6.076 1.72916 54.67
12 -56.361 4.613
13 -298.395 10.706 1.43700 95.10
14 -40.477 0.300
15 94.341 5.874 1.84666 23.78
16 -1385.806 52.830
17 -44.105 1.900 1.90366 31.31
18 103.062 2.096
19 128.458 10.686 1.43700 95.10
20 -38.672 0.300
21 83.490 11.491 1.43700 95.10
22 -60.482 0.300
23 79.397 2.600 1.90366 31.31
24 46.786 0.300
25 35.033 14.652 1.43700 95.10
26 -164.596 0.500
27 60.155 7.179 1.49700 81.61
28 -694.341 6.069
29 -54.005 2.389 1.80610 33.27
30 37.038 11.094
31 115.280 6.689 1.80809 22.76
32 -168.630 31.507
33 66.408 9.378 1.90366 31.31
34 311.655 18.571
35(IM1) infinity variable
36 -103.410 6.644 1.90366 31.31
37 -55.359 16.559
38 -29.993 2.400 1.80518 25.46
39 -40.030 0.688
40 -55.757 5.393 1.72916 54.67
41 -36.353 variable
42 -890.792 4.803 1.91082 35.25
43 -73.547 5.214
44 -43.159 1.700 1.80518 25.46
45 -69.349 6.872
46 -95.497 3.995 1.48749 70.44
47 -42.690 variable
48(ST,PA) infinity 4.507
49 -31.248 1.100 1.71300 53.94
50 53.113 4.529
51 41.769 7.325 1.43700 95.10
52 -31.268 1.000
53 65.659 6.858 1.49700 81.61
54 -42.649 4.700
55 -25.993 1.800 1.69680 55.46
56 61.784 4.136
57 362.583 6.852 1.49700 81.61
58 -55.535 0.300
59 297.416 10.881 1.49700 81.61
60 -37.638 variable
61 93.852 6.967 1.49700 81.61
62 -260.393 16.000
63 infinity 42.000 1.51680 64.20
64 infinity 5.000
65 infinity 2.997 1.48749 70.44
66 infinity 1.480
image(IM2) infinity
各種データ
zoom ratio 1.30
Wide(W) Middle(M) Tele(T)
Fl -14.043 -16.168 -18.294
Fno. -2.417 -2.500 -2.585
ω -50.142 -46.241 -42.707
ymax 16.700 16.700 16.700
TL 539.708 539.708 539.708
BF 52.185 52.185 52.185
d35 45.623 40.166 37.026
d41 18.665 10.853 2.000
d47 3.970 9.975 14.631
d60 4.043 11.308 18.645 Various data
zoom ratio 1.30
Wide(W) Middle(M) Tele(T)
Fl -14.043 -16.168 -18.294
Fno. -2.417 -2.500 -2.585
ω -50.142 -46.241 -42.707
ymax 16.700 16.700 16.700
TL 539.708 539.708 539.708
BF 52.185 52.185 52.185
d35 45.623 40.166 37.026
d41 18.665 10.853 2.000
d47 3.970 9.975 14.631
d60 4.043 11.308 18.645
zoom ratio 1.30
Wide(W) Middle(M) Tele(T)
Fl -14.043 -16.168 -18.294
Fno. -2.417 -2.500 -2.585
ω -50.142 -46.241 -42.707
ymax 16.700 16.700 16.700
TL 539.708 539.708 539.708
BF 52.185 52.185 52.185
d35 45.623 40.166 37.026
d41 18.665 10.853 2.000
d47 3.970 9.975 14.631
d60 4.043 11.308 18.645 Various data
zoom ratio 1.30
Wide(W) Middle(M) Tele(T)
Fl -14.043 -16.168 -18.294
Fno. -2.417 -2.500 -2.585
ω -50.142 -46.241 -42.707
ymax 16.700 16.700 16.700
TL 539.708 539.708 539.708
BF 52.185 52.185 52.185
d35 45.623 40.166 37.026
d41 18.665 10.853 2.000
d47 3.970 9.975 14.631
d60 4.043 11.308 18.645
ズームレンズ群データ
群 ( 面 i ) 焦点距離
1 ( 1- 35) 22.030
2 ( 36- 41) 105.654
3 ( 42- 47) 94.377
4 ( 48- 60) 97.318
5 ( 61- 66) 139.720 Zoom lens group data group (surface i) Focal length 1 (1-35) 22.030
2 (36- 41) 105.654
3 (42- 47) 94.377
4 (48-60) 97.318
5 (61-66) 139.720
群 ( 面 i ) 焦点距離
1 ( 1- 35) 22.030
2 ( 36- 41) 105.654
3 ( 42- 47) 94.377
4 ( 48- 60) 97.318
5 ( 61- 66) 139.720 Zoom lens group data group (surface i) Focal length 1 (1-35) 22.030
2 (36- 41) 105.654
3 (42- 47) 94.377
4 (48-60) 97.318
5 (61-66) 139.720
LN 投影光学系
LN1 第1光学系
LN2 第2光学系
Gr2-1 第2-1群
Gr2-2 第2-2群
Gr2-3 第2-3群
Gr2-3-1 第2-3-1群
Gr2-4 第2-4群
GrE 最終群
ST 絞り(開口絞り)
IM1 中間像(中間像面)
IM2 画像表示面(縮小側像面)
RD 反射光学素子
PR プリズム
SC スクリーン面(拡大側像面)
PJ プロジェクター(投影装置)
1 光源
2 照明光学系
3 反射ミラー
4 画像表示素子
5 制御部
6 アクチュエーター
AX 光軸 LN Projection optical system LN1 First optical system LN2 Second optical system Gr2-1 Group 2-1 Gr2-2 Group 2-2 Gr2-3 Group 2-3 Gr2-3-1 Group 2-3-1 Gr2-4 2nd-4th group GrE final group ST stop (aperture stop)
IM1 intermediate image (intermediate image plane)
IM2 image display surface (reduction side image surface)
RD reflective optical element PR prism SC screen surface (magnification side image surface)
PJ projector (projection device)
1Light Source 2 Illumination Optical System 3 Reflection Mirror 4 Image Display Element 5 Control Unit 6 Actuator AX Optical Axis
LN1 第1光学系
LN2 第2光学系
Gr2-1 第2-1群
Gr2-2 第2-2群
Gr2-3 第2-3群
Gr2-3-1 第2-3-1群
Gr2-4 第2-4群
GrE 最終群
ST 絞り(開口絞り)
IM1 中間像(中間像面)
IM2 画像表示面(縮小側像面)
RD 反射光学素子
PR プリズム
SC スクリーン面(拡大側像面)
PJ プロジェクター(投影装置)
1 光源
2 照明光学系
3 反射ミラー
4 画像表示素子
5 制御部
6 アクチュエーター
AX 光軸 LN Projection optical system LN1 First optical system LN2 Second optical system Gr2-1 Group 2-1 Gr2-2 Group 2-2 Gr2-3 Group 2-3 Gr2-3-1 Group 2-3-1 Gr2-4 2nd-4th group GrE final group ST stop (aperture stop)
IM1 intermediate image (intermediate image plane)
IM2 image display surface (reduction side image surface)
RD reflective optical element PR prism SC screen surface (magnification side image surface)
PJ projector (projection device)
1
Claims (12)
- 画像表示面に表示される画像を拡大投影する投影光学系であって、
拡大側から順に第1光学系と第2光学系を同一の光軸上に有し、
前記第2光学系が中間像を形成し、前記第1光学系が前記中間像を画角70°以上に拡大投影し、
前記第2光学系のみが変倍のために移動する移動群を有し、
前記第2光学系内において軸上主光線と軸外主光線との交わる位置を位置PAとすると、前記位置PAよりも拡大側に前記移動群が複数位置し、全変倍域において前記複数の移動群がいずれも前記位置PAを含まず、
前記複数の移動群のうち、最も拡大側の移動群を第2-2群とし、前記第2-2群の縮小側に隣り合って位置する移動群を第2-3群とすると、前記第2-2群と前記第2-3群がともに正の屈折力を有し、以下の条件式(1)を満足する投影光学系;
0.1<f2/f3<1.3 …(1)
ただし、
f2:第2-2群の焦点距離、
f3:第2-3群の焦点距離、
である。 A projection optical system for enlarging and projecting an image displayed on an image display surface,
Having the first optical system and the second optical system on the same optical axis in order from the enlargement side,
The second optical system forms an intermediate image, the first optical system magnifies and projects the intermediate image at an angle of view of 70° or more,
Only the second optical system has a moving group that moves for zooming,
When the position where the axial principal ray and the off-axis principal ray intersect in the second optical system is the position PA, the plurality of moving groups are located on the enlargement side of the position PA, and the plurality of moving groups are located in the entire zoom range. None of the moving groups includes the position PA,
Of the plurality of moving groups, if the moving group on the most expanding side is the 2-2nd group and the moving group located adjacent to the reducing side of the 2-2nd group is the 2-3 group, A projection optical system in which both the 2-2 group and the 2-3 group have a positive refractive power and satisfy the following conditional expression (1);
0.1<f2/f3<1.3 (1)
However,
f2: focal length of the second-second lens group,
f3: focal length of the second-third group,
Is. - 前記位置PAよりも縮小側に、正の屈折力を有する第2-4群を前記移動群として有する請求項1記載の投影光学系。 The projection optical system according to claim 1, further comprising, as the moving group, a 2-4 group having a positive refractive power on the reduction side of the position PA.
- 以下の条件式(2)を満足する請求項2記載の投影光学系;
5<f4/|fw|<20 …(2)
ただし、
f4:第2-4群の焦点距離、
fw:広角端における全系の焦点距離、
である。 The projection optical system according to claim 2, wherein the following conditional expression (2) is satisfied:
5<f4/|fw|<20 (2)
However,
f4: focal length of the second to fourth lens units,
fw: focal length of the entire system at wide-angle end,
Is. - 前記第2光学系内の最も縮小側に、正の屈折力を有し、かつ、変倍時に位置固定の最終群を有する請求項1~3のいずれか1項に記載の投影光学系。 The projection optical system according to any one of claims 1 to 3, wherein the second optical system has a final lens unit having a positive refracting power on the most reduction side and having a position fixed during zooming.
- 前記第2光学系内の最も拡大側に、変倍時に位置固定の第2-1群を有する請求項1~4のいずれか1項に記載の投影光学系。 The projection optical system according to any one of claims 1 to 4, which has a 2-1 group whose position is fixed at the time of zooming, on the most magnifying side in the second optical system.
- 前記第2-1群が負の屈折力を有する請求項5記載の投影光学系。 The projection optical system according to claim 5, wherein the 2-1st group has a negative refractive power.
- 以下の条件式(3)を満足する請求項5又は6記載の投影光学系;
-3<f1/f2<-1 …(3)
ただし、
f1:第2-1群の焦点距離、
f2:第2-2群の焦点距離、
である。 The projection optical system according to claim 5 or 6, which satisfies the following conditional expression (3):
-3<f1/f2<-1 (3)
However,
f1: the focal length of the 2-1st lens group,
f2: focal length of the second-second lens group,
Is. - 前記第2-1群が拡大側から正負の2枚のレンズからなる請求項6又は7記載の投影光学系。 The projection optical system according to claim 6 or 7, wherein the 2-1st group includes two lenses, positive and negative, from the magnification side.
- 前記第1光学系が非球面を有する請求項1~8のいずれか1項に記載の投影光学系。 The projection optical system according to any one of claims 1 to 8, wherein the first optical system has an aspherical surface.
- 前記第1光学系内で最も拡大側にある非球面よりも拡大側に正レンズを有する請求項9記載の投影光学系。 The projection optical system according to claim 9, wherein the projection optical system has a positive lens on the magnifying side with respect to the aspherical surface on the most magnifying side in the first optical system.
- 前記第1光学系内の最大空気間隔において、光軸を90°折り曲げる反射光学素子が配置されている請求項1~10のいずれか1項に記載の投影光学系。 The projection optical system according to any one of claims 1 to 10, wherein a reflective optical element that bends an optical axis by 90° is arranged at a maximum air space in the first optical system.
- 前記画像表示面を有する画像表示素子と、前記画像表示面に表示される画像をスクリーン面に拡大投影する請求項1~11のいずれか1項に記載の投影光学系と、を備えた投影装置。 A projection apparatus comprising: an image display element having the image display surface; and a projection optical system according to claim 1, which magnifies and projects an image displayed on the image display surface onto a screen surface. ..
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