CN100367065C - Coupling optical system - Google Patents
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- CN100367065C CN100367065C CNB2005100656596A CN200510065659A CN100367065C CN 100367065 C CN100367065 C CN 100367065C CN B2005100656596 A CNB2005100656596 A CN B2005100656596A CN 200510065659 A CN200510065659 A CN 200510065659A CN 100367065 C CN100367065 C CN 100367065C
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Abstract
The present invention realizes a coupling optical system, the distortion of which is not obvious in practical usage even by using fewer lenses. The optical distortion of a visual angle which is larger than a middle visual angle satisfies the following conditional formulas (1) to (3): 2.0 % < | DIST6 | < 5.0 %, etc. (1); | DIST 8-DIST6 | < 0.5 %, etc. (2); | DIST 10-DIST8 | < 1.8 %, etc. (3), wherein the DIST6 means the distortion at 60% height of the image, the DIST8 means the distortion at 80% height of the image, and the DIST10 means the distortion at 100% height of the image.
Description
Technical field
The present invention relates to be suitable for as toward for example with the coupling optical system of the single focal lense use of carrying in the portable phone of camera or the PDA small information terminal devices such as (Personal DigitalAssistant).
Background technology
In recent years, be accompanied by personal computer and popularize, the digital still life camera of image information input personal computers such as the landscape taken and bust (below, only be called digital camera) can be popularized rapidly to general family etc.In addition, along with the multifunction of portable phone, the portable phone that carries the band camera of small-sized image pickup module is also popularized rapidly.In addition, carrying photographing module in small-sized Signal Terminal equipment such as PDA also popularizes.
Charge coupled cell) or CMOS imaging apparatuss such as (Complementary Metal Oxide Semiconductor) possess in the equipment of these camera functions, adopted CCD (Charge Coupled Device:.These imaging apparatuss are in recent years to very miniaturization development.Thereby on the picture pick-up device that adopts imaging apparatus such as CCD, for equipment body and carry lens on it, also require miniaturization and.In addition, in recent years, in order to realize high image quality, and the many imaging apparatuss of exploitation pixel, thereupon, also be required the performance of high resolving power more and high-contrast in lens combination.
As the imaging lens system that this picture pick-up device adopted, for example Yi Xia patent documentation 1 is described.Put down in writing the imaging lens system of 2 formations in this patent documentation 1.
Patent documentation 1: the spy opens the 2000-258684 communique
As mentioned above, imaging apparatus in recent years, miniaturization and high pixelation are developed, accompany therewith, particularly require the densification of high resolving power performance and formation in the imaging lens system that digital camera is used.On the other hand, in the imaging lens system that the small information terminal devices such as portable phone of band camera are used, major requirement cost aspect and compactedness in the past, and recently in the portable phone of band camera etc., also trend towards developing the high pixelation of imaging apparatus, for example the above device corresponding with the megabit pixel of 1,000,000 pixels is practical, and be also high with respect to the requirement of aspect of performance.Thereby the diversified lens of taking all factors into consideration cost aspect, aspect of performance and compactedness are developed in expectation.
As the small information terminal device imaging lens system corresponding with high pixel, existing 3 lens combinations that constitute that constitute by 1 glass lens and 2 plastic lenss and the lens combination that adopts 3 above plastic lenss etc. for example developed.But, in order to require correspondingly with in recent years miniaturization, and the expectation lens combination is to be less than 3 block of lense number and in performance direction and existing equal extent.The described lens of above-mentioned patent documentation are a kind ofly to constitute and adopt aspheric lens with 2 and constitute, but the compacter and high performance lens combination of expectation exploitation also.
By the way, owing to generally all attempt to realize the high performance of imaging lens system,, ideal situation in the angular domain of full visual field, corrected well so being the aberration of all kinds.Though generally be easy to realize such perfect performance in the many optical systems of lens number, the lens number is few more, the performance of realizing ideal is just difficult more.On the other hand, as mentioned above, in recent years,, when requiring the lens decreased number, also require high performance as imaging lens system.
Therefore, even the lens number was few in the past, be that target is carried out optical design also in the angular domain of full visual field, to correct a plurality of aberrations well as far as possible.But, because by 2 and 3 lens that number is considerably less, be difficult to carry out poor, the aberration correction in the angular domain of visual field entirely of full figure, so residual sometimes a part of aberration.In this situation, both made a part of aberration residual, still, if look when recognizing actual photographs people, it is very little that this is looked the harmful effect of recognizing state, and the problem in so actual the use is just less.
For example, it is a lot of that the optical distortion that is considered as distortion designs common imaging lens system, in general, and when described rectifications of design, as far as possible at full territory, visual angle minimizing optical distortion.But, can think, by also considering the design of TV distortion in addition, in the image of actual displayed on monitor image, can attempt to improve looking of image and recognize state.For example, can think, even how many aberration amount of optical distortion has, also can by and the TV distortion between balance, make all distortions of image no longer remarkable.
At this, describe about the notion of optical distortion and monitor distortion with reference to Fig. 8.Fig. 8 model utility ground expression is situated between rectangular-shaped object by the state of optical system imaging or is presented at state on the monitor picture etc.Among Fig. 8, the dotted line shown in the symbol 10 is represented desirable picture shape, and the solid line shown in the symbol 11 is represented actual picture shape.
As shown in Figure 8, if desirable image height is y0, actual image height is y, and then the aberration amount D of optical distortion is generally by with shown in the following formula.That is, with the difference of the image height y of reality and desirable image height y0 divided by desirable image height y0, represent with percent.
D={(y-y0)/y0}×100(%)
On the other hand, monitor distortion Dt adopts in the optical system related with monitor etc. usually, as shown in Figure 8, the amount of bow as the long limit of shape 11 of reality is thought of as the object of distortion, generally by representing with following formula.Δ h represents the crooked degree of depth, and h is that vertical picture is long.
Dt=(Δh/2h)×100(%)
Summary of the invention
In view of involved problem, the object of the present invention is to provide a kind of coupling optical system, even its lens number is few, also can realize the unconspicuous optical system of distortion in actual use.
Coupling optical system of the present invention relates to optical distortion formula (1)~(3) that meet the following conditions.
2.0%<|DIST6|<5.0%...... (1)
|DIST8-DIST6|<0.5%....... (2)
|DIST10-DIST8|<1.8%...... (3)
Wherein, DIST6 shows the optical distortion at percent 60 (6 one-tenth) image height place, and DIST8 shows the optical distortion at percent 80 (8 one-tenth) image height place, and DIST10 shows the absolutely optical distortion at (10 one-tenth) image height place.
In coupling optical system of the present invention,, before 60 percent image height, can allow optical distortion than higher value by satisfying formula (1).On the other hand, by satisfying formula (2) and formula (3), can suppress to surpass the optical distortion variation of 60 percent image height lessly.By satisfying such condition,, in practicality, also can realize the unconspicuous optical system of distortion even the lens number is few.
Here, wish that this coupling optical system comprises a plurality of lens in addition, wherein, having one side at least at the most close lens as side is the structure of aspheric surface.In this case, with following formula (X) when representing aspherical shape, wish that the one side at least of the most close lens as a side is effectively as asphericity coefficient A with odd item
iAspherical shape.In addition, " using odd item effectively " is meant 0 (zero) numerical value in addition as A
3, A
5Etc. odd asphericity coefficient value.Like this, use aspheric surface by one side at least, thereby satisfy above-mentioned conditional (1)~(3) easily at the lens of the most close picture one side.
Z=C·h
2/{1+(1-K·C
2·h
2)
1/2}+∑A
i·h
i......(X)
Wherein, Z is the degree of depth of aspheric surface, and h is the distance (highly) from the optical axis to the lens face, and K is an eccentricity, and C is paraxial curvature, A
iRepresent (integer that i=3 is above) asphericity coefficient the i time.
By coupling optical system of the present invention, relate to optical distortion, because on the one hand by the formula of satisfying condition (1), allow bigger optical distortion at 60 percent following image height, on the other hand, by the formula of satisfying condition (2) and (3), suppressed variation at the optical distortion that surpasses 60 percent image height place lessly, so,, also can realize the unconspicuous optical system of distortion in actual use even the lens number is few.
Description of drawings
Fig. 1 shows the structure example of conduct about the single focal lense of the coupling optical system of one embodiment of the present invention, and it is the lens cut-open view corresponding to embodiment 1.
Fig. 2 shows the structure example of conduct about the single focal lense of the coupling optical system of one embodiment of the present invention, and it is the lens cut-open view corresponding to embodiment 2.
Fig. 3 is illustrated in the synoptic diagram of conduct about the optical distortion characteristic in the single focal lense of the coupling optical system of one embodiment of the present invention.
Fig. 4 is the aberration diagram of expression about spherical aberration, astigmatism, optical distortion and the ratio chromatism, of the single focal lense of embodiment 1.
Fig. 5 is the aberration diagram that illustrates about spherical aberration, astigmatism, optical distortion and the ratio chromatism, of the single focal lense of embodiment 2.
Fig. 6 is the figure of expression about the distorted characteristic of the single focal lense of embodiment 1.
Fig. 7 is the figure of expression about the distorted characteristic of the single focal lense of embodiment 2.
Fig. 8 is the figure that is used to illustrate optical distortion and TV distortion.
Among the figure: CG-cloche, St-aperture, Gj-radius-of-curvature, Di-from the j lens of object side, Ri-from the i lens face of object side from the face between i number of object side and the i+1 lens face at interval, the Z1-optical axis.
Embodiment
Below with reference to accompanying drawings embodiments of the invention are described in detail.
Fig. 1 shows the structure example of conduct about the single focal lense of the coupling optical system of one embodiment of the present invention.This structure example is corresponding to the lens arrangement of the aftermentioned first numerical value embodiment (table 1, table 2).In addition, Fig. 2 shows another structure example of single focal lense.The structure example of Fig. 2 is corresponding to the lens arrangement of following second value embodiment (table 3, table 4).In addition, in Fig. 1 and Fig. 2, symbol Ri represents the radius-of-curvature of i (i=0~6) number face, and this radius-of-curvature is No. 0 with aperture St, the lens important document face of close object side is No. 1, has the symbol i that increases successively along the direction to picture side (imaging side).Symbol Di represents i face and the i+1 face face on optical axis Z1 at interval.In addition, because the basic structure of each structure example is all identical, so following structure with the structure optical system shown in Fig. 1 is that the basis describes.
In addition, here although understand the structure of the single focal lense of two lens arrangements, but the coupling optical system of present embodiment also can be applicable to the optical system with 3 above lens.
This single focal lense can be by carrying small information terminal device such as the portable phone that for example uses the band camera and digital camera etc., particularly utilizing in the picture pick-up device of small-sized image pickup element and use.The structure of this single focal lense is for having disposed aperture St, the first lens G1 and the second lens G2 successively along optical axis Z1 from object side.
The imaging surface (shooting face) of this single focal lense has disposed the imaging apparatuss such as CCD that do not illustrate among the figure.Disposed the cloche CG that is used to protect shooting face near the shooting face of CCD.Except cloche CG, can also dispose other optical device such as infrared ray cut off filter and low-pass filter between the second lens G2 and the imaging surface (shooting face).
For example, the first lens G1 two sides is an aspherical shape, and becomes to have and make the meniscus shape of convex shape towards the positive amplification ratio of object side.
For example, the second lens G2 two sides is an aspherical shape, and becomes near axle and make the meniscus shape with positive amplification ratio of convex surface towards object side.For example, the aspherical shape of the second lens G2 for object side surface, has such part, is promptly becoming concave shape as side from convex form along with rely on periphery from the center in the effective radius scope.For for side surface, have such part, promptly becoming convex form as side from concave shape along with rely on periphery from the center in the effective radius scope.Therefore, though the second lens G2 for example has positive magnification near paraxial,, in the effective radius of object side surface, the part beyond paraxial has the part as negative magnification work.
In addition, in the present embodiment, for example in following aspheric surface formula (X), (A), near paraxial lens shape (is removed and coefficient A by the part relevant with COEFFICIENT K
iPart behind the relevant polynomial segment) represents.
Because the first lens G1 of this single focal lense and the two sides of the second lens G2 are aspherical shape, so for the consideration of processability, the material of wishing the first lens G1 and the second lens G2 all is a plastic material.
About the optical distortion at the field angle place bigger, the formula that meets the following conditions (1)~(3) than middle field angle.
2.0%<|DIST6|<5.0%...... (1)
|DIST8-DIST6|<0.5%...... (2)
|DIST10-DIST8|<1.8%...... (3)
Wherein, DIST6 represents the optical distortion at percent 60 (6 one-tenth) image height place, and DIST8 represents the optical distortion at percent 80 (8 one-tenth) image height place, and DIST10 represents the absolutely optical distortion at (10 one-tenth) image height place.
In order to following equation (X) expression aspherical shape the time, preferably the one side at least of the most close lens G2 as side of this single focal lense is effectively as asphericity coefficient A with odd item
iAspherical shape.In addition, " using odd item effectively " is meant 0 (zero) numerical value A in addition
3, A
5Deng value as the odd asphericity coefficient.
Z=C·h
2/{1+(1-K·C
2·h
2)
1/2}+∑A
i·h
i......(X)
Wherein, Z is the degree of depth of aspheric surface, and h is the distance (highly) from the optical axis to the lens face, and K is an eccentricity, and C is paraxial curvature, A
iRepresent (integer that i=3 is above) asphericity coefficient the i time.
The following describes the effect and the effect of the single focal lense of above structure.
Generally, in the imaging lens system of uses such as the limited portable terminal of lens number, if be suppressed at the distortion of full visual field angular domain lessly, the restriction in the optical design just becomes big so, and is difficult to control lens total length and other aberration.Therefore, in this single focal lense, by satisfying conditional (1)~(3) relevant with optical distortion, both having made increases the lens number, also can realize the unconspicuous optical system of distortion in actual the use.
Fig. 3 illustrates the notion of optical distortion condition shown in formula (1)-(3).Conditional (1) relates to the optical distortion that 60 percent image height (field angle) is located, and if at this below numerical range, the restriction in the optical design will become greatly, and control lens total length and other aberration just become difficulty, thereby not preferred.In addition, more than numerical range, then middle field angle place owing to also comprise and the TV distortion between balance make distortion more remarkable, so can not be satisfactory.Conditional (2) and (3) relate to 80 60 percent, percent and the optical distortion at image height place absolutely, at these more than numerical range, owing to also comprise and the TV distortion between balance make distortion more remarkable, so can not be satisfactory.
As shown in Figure 3, in this single focal lense, on the one hand, by satisfying formula (1), before image height 60 percent, allow bigger optical distortion, and on the other hand, by satisfying formula (2) and (3), surpassing the variation that 60 percent image height place suppresses optical distortion lessly.By satisfying such condition, even the lens number is few, also can realize in actual use wherein comprising and the TV distortion between the distortion of the balance optical system that is difficult to arouse attention.
In addition, in order to satisfy these conditionals (1)~(3), the one side at least of the most close lens G2 as side is made an odd item effectively as asphericity coefficient A
iAspherical shape be effective.In addition, it also is effective using the aspheric surface of the shape that determines by the coefficient that comprises 16 asphericity coefficients more than the item.
Like this, single focal lense by present embodiment, relate to than the optical distortion in the big field angle of middle field angle, owing to satisfy rated condition formula (1)-(3), so surpassing optical distortion in 60 percent image height changes and is suppressed and diminishes, therefore, even the lens number is few, also can be implemented in the optical system that wherein is difficult to notice distortion in actual use.Like this, by the aspheric surface of effective use in 2 less lens, can obtain the same high optical properties of the middle structure of using that generally has 3 above lens such as portable phone with existing band camera.In addition, can also realize than present compacter lens combination.
Below the concrete numerical value embodiment as the single focal lense of the coupling optical system of present embodiment is described.Below gather the first and second numerical value embodiment (embodiment 1,2) have been described.Table 1 and table 2 show the concrete lens data (embodiment 1) of corresponding single focal lense structure shown in Figure 1.In addition, table 3 and table 4 show the concrete lens data (embodiment 2) of corresponding single focal lense structure shown in Figure 2.Master data part in the lens data of these embodiment has been shown in table 1 and table 3, the data division relevant with aspherical shape in the lens data of these embodiment has been shown in table 2 and table 4.
Table 1
Embodiment 1, basic lens data | ||||
Si (face sequence number) | Ri (radius-of-curvature) | Di (face at interval) | Ndj (refractive index) | Vdj (Abbe number) |
0 (aperture) | 0.0 | 0.10 | ||
*1 *2 | 1.4638 2.3464 | 1.18 0.82 | 1.50614 | 56.4 |
*3 *4 | 2.0905 2.7466 | 0.77 1.18 | 1.50614 | 56.4 |
5 6 | 0.0 0.0 | 0.60 | 1.51680 | 64.2 |
(
*: aspheric surface) (f=3.94mm, FNO.=4.0,2 ω=60.7 °)
Table 2
Embodiment 1 aspherical surface data | ||||
Asphericity coefficient | The face sequence number | |||
First | Second | The 3rd | Fourth face | |
K A3 A4 A5 A6 A7 A8 A9 A10 | -4.0691E+00 - 2.0632E-01 - -9.1075E-02 - -6.0637E-03 - 5.5267E-03 | -9.6249E+00 - 8.9875E-02 - 1.0112E-01 - -4.1842E-02 - 1.1947E-02 | -4.6459E+00 -6.3908E-03 -1.5026E-02 -3.9150E-02 3.0353E-03 4.4656E-03 5.6359E-04 -2.1899E-03 1.8562E-03 | -8.8133E+00 4.0300E-02 2.2635E-02 -1.1799E-01 3.5354E-02 2.6899E-02 -1.2120E-02 -5.0708E-03 2.4476E-03 |
Table 3
Embodiment 2 basic lens datas | ||||
Si (face sequence number) | Ri (radius-of-curvature) | Di (face at interval) | Ndj (refractive index) | Vdj (Abbe number) |
0 (aperture) | 0.0 | 0.10 | ||
*1 *2 | 1.4586 2.3480 | 1.20 0.81 | 1.49023 | 57.5 |
*3 *4 | 2.0914 2.7489 | 0.76 1.30 | 1.49023 | 57.5 |
5 6 | 0.0 0.0 | 0.60 | 1.51680 | 64.2 |
(
*: aspheric surface) (f=4.08mm, FNO.=4.0,2 ω=58.9 °)
Table 4
Embodiment 2 aspherical surface datas | ||||
Asphericity coefficient | The face sequence number | |||
First | Second | The 3rd | Fourth face | |
K A3 A4 A5 A6 A7 A8 A9 A10 | -4.0691E+00 - 3.4526E-06 - 2.0632E-01 - 1.4710E-07 - -9.1075E-02 | -9.6253E+00 - -2.0968E-05 - 8.9873E-02 - -1.2720E-06 - 1.0112E-01 | -4.6459E+00 -6.3881E-03 -1.5025E-02 -3.9507E-02 3.0357E-03 4.4661E-03 5.6364E-04 -2.1898E-03 1.8562E-03 | -8.8133E+00 4.0299E-02 2.2634E-02 -1.1799E-01 3.5353E-02 2.6899E-02 -1.2120E-02 -5.0710E-03 2.4476E-03 |
Single focal lense for each embodiment, in the face sequence number Si hurdle in the lens data of respectively expressing, show the sequence number of i (i=0-6) number face, it is the 0th that this sequence number has with aperture St, the lens important document face of close object side is the 1st, along to the symbol i that increases progressively as the side direction order.Radius of curvature R i hurdle is corresponding with appended symbol Ri among Fig. 1, Fig. 2, and expression is apart from the radius-of-curvature value of i face of object side.For face interval D i hurdle, it is also corresponding with the appended symbol of Fig. 1, Fig. 2, and expression is apart from the interval between object side i face Si and the i+1 face.The unit of radius of curvature R i and face interval D i value is a millimeter (mm).Ndj and vdj hurdle show respectively and comprise cloche at interior refractive index and Abbe numerical value with respect to d line (587.6nm) from object side j (j=1-3) number lens important document.In addition, though the value of the radius of curvature R 5 on cloche CG two sides, R6 becomes 0 (zero), this represents that it is the plane.In addition, though the value of the radius of curvature R 0 of aperture St becomes 0 (zero), this represents that it is an imaginary plane.
As all multidata, also show system-wide paraxial focal distance f (mm), F number (FNO.), field angle 2 ω (ω: angle of half field-of view) in table 1 and the table 3 simultaneously.In addition, the single focal lense of each embodiment convert with the 35mm film represent the face of making a video recording the time have a performance that is equivalent to focal distance f=35mm.
In each lens data of table 1 and table 3, represent that at the mark " * " that add in face sequence number left side this lens face is an aspherical shape.In each embodiment, two sides S3, the S4 of two sides S1, the S2 of the 1st lens G1 and the 2nd lens G2 is aspherical shape.In basic lens data, as these aspheric radius-of-curvature, near near the numerical value of the radius-of-curvature of (paraxial) the expression optical axis.
In the data of each aspherical surface data of table 2 and table 4, mark " E " expression numerical value thereafter is the end " power exponent " with 10, and expression is that numerical value quilt " E " preceding numerical value that the exponential function at the end is represented is taken advantage of with this with 10.For example, if " 1.0E-02 ", its expression " 1.0 * 10 so
-2".
In each aspherical surface data, put down in writing relevant each coefficient A of formula with the aspherical shape of representing by following formula (A)
i, K value.Z expresses point on the aspheric surface of the position of the high h of optical axis connects plane (perpendicular to the plane of optical axis) to the aspheric surface summit length (mm) in more detail.
Z=C·h
2/{1+(1-K·C
2·h
2)
1/2}+A
3·h
3+A
4·h
4+A
5·h
5+A
6·h
6+A
7·h
7+A
8·h
8+A
9·h
9+A
10·h
10......
(A)
Wherein,
Z: the aspheric degree of depth (mm)
H: the distance from the optical axis to the lens face (highly) (mm)
K: eccentricity
C: paraxial curvature=1/R (R: paraxial radius-of-curvature)
A
i: the i time (i=3~10) asphericity coefficient
In each embodiment, the aspherical shape of two sides S1, the S2 of the first lens G1 is passed through only with even coefficient A
4, A
6, A
8, A
10Represent as asphericity coefficient effectively.The aspherical shape of two sides S3, the S4 of the second lens G2 has also further effectively utilized odd asphericity coefficient A
3, A
7, A
9
In addition, for each embodiment, gather in the table 5 below and show and above-mentioned conditional (1)~(3) relevant value.As shown in table 5, the value of each embodiment is in the numerical range of each conditional (1)~(3).
Table 5
The value relevant with conditional | |||
Conditional (1) | DIST6| | Conditional (2) | DIST8-DIST6| | Conditional (3) | DIST10-DIST8| | |
Embodiment 1 | 3.17% | 0.06% | 1.33% |
Embodiment 2 | 3.17% | 0.04% | 1.28% |
Fig. 4 (A)-(D) shows spherical aberration, astigmatism, optical distortion (distortion aberration) and the ratio chromatism, about the single focal lense of embodiment 1.Though there is shown with the d line at each aberration is the aberration of reference wavelength, in spherical aberration and ratio chromatism, figure, also show aberration for g line (wavelength 435.8nm), C line (wavelength 656.3nm).In astigmatism figure, solid line is represented aberration radially, and dotted line is represented the tangential direction of aberration.ω represents angle of half field-of view.Similarly, for all aberrations of embodiment 2 shown in Fig. 5 (A)-(D).
Fig. 6 and Fig. 7 have schematically shown the image fault the when single focal lense of embodiment 1 and embodiment 2 is actual to be used.Just represent of single focal lense integral body with the having distortion imaging of the object of rectangular grid shape by each embodiment.Though residual when only seeing with the optical distortion characteristic of Fig. 4 (C) and Fig. 5 (C) have an aberration, find out that from the shape of all pictures shown in Fig. 6 and Fig. 7 it is not poor that the looking of this degree recognized state, obtains no problem characteristic in actual use.
Be appreciated that for each embodiment by above each numeric data and each aberration diagram, when the lens number is few, can carry out good aberration correction, thereby in actual use, can realize not compact lens system significantly and more of distortion.
In addition, the present invention is not limited to above-mentioned embodiment and each embodiment, and various distortion embodiments are possible.For example, value of the radius-of-curvature of each lens element, face interval and curvature or the like is not limited to the value shown in above-mentioned each numerical value embodiment, the value that also can get other.
Claims (2)
1. a coupling optical system is characterized in that, relates to optical distortion, the formula that meets the following conditions (1)~(3):
2.0%<|DIST6|<5.0%…… (1)
|DIST8-DIST6|<0.5%…… (2)
|DIST10-DIST8|<1.8%…… (3)
Wherein, DIST6 is the optical distortion at 60 percent image height place, and DIST8 is the optical distortion at 80 percent image height place, and DIST10 is the optical distortion at a hundred per cent image height place,
Described coupling optical system comprises a plurality of lens, and at least one mask of wherein the most close lens as side has aspheric surface,
With following formula (X) expression aspherical shape the time, the one side at least of the lens of the most close described picture side is effectively as asphericity coefficient A with odd item
iAspherical shape,
Z=C·h
2/{1+(1-K·C
2·h
2)
1/2}+∑A
i·h
i……(X)
Wherein, Z is the aspheric degree of depth, and h is that the distance from the optical axis to the lens face is a height, and K is an eccentricity.C is paraxial curvature=1/R, A
iBe the i time asphericity coefficient, and R is paraxial radius-of-curvature, i is the integer more than 3.
2. coupling optical system as claimed in claim 1 is characterized in that: constitute the single focal lense that uses two above plastic lenss at least.
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US20030161054A1 (en) * | 2002-02-20 | 2003-08-28 | Kenichi Sato | Low-cost, single focus lens |
CN2577302Y (en) * | 2002-11-08 | 2003-10-01 | 玉晶光电(厦门)有限公司 | Lens group |
CN2612961Y (en) * | 2003-03-24 | 2004-04-21 | 玉晶光电(厦门)有限公司 | Lens useful for mobile phone and digital camera |
-
2005
- 2005-03-16 CN CNB2005100656596A patent/CN100367065C/en not_active Expired - Fee Related
Patent Citations (7)
Publication number | Priority date | Publication date | Assignee | Title |
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US5251069A (en) * | 1989-12-28 | 1993-10-05 | Asahi Kogaku Kogyo K.K. | Imaging lens system |
US6031670A (en) * | 1990-08-28 | 2000-02-29 | Sankyo Seiki Mfg. Co., Ltd. | Wide-angle lens |
US5329403A (en) * | 1992-06-09 | 1994-07-12 | Canon Kabushiki Kaisha | Image reading lens |
JP2000258684A (en) * | 1999-03-05 | 2000-09-22 | Enplas Corp | Image pickup lens |
US20030161054A1 (en) * | 2002-02-20 | 2003-08-28 | Kenichi Sato | Low-cost, single focus lens |
CN2577302Y (en) * | 2002-11-08 | 2003-10-01 | 玉晶光电(厦门)有限公司 | Lens group |
CN2612961Y (en) * | 2003-03-24 | 2004-04-21 | 玉晶光电(厦门)有限公司 | Lens useful for mobile phone and digital camera |
Also Published As
Publication number | Publication date |
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CN1834715A (en) | 2006-09-20 |
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