CN109884780A - A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system - Google Patents

A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system Download PDF

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CN109884780A
CN109884780A CN201910304117.1A CN201910304117A CN109884780A CN 109884780 A CN109884780 A CN 109884780A CN 201910304117 A CN201910304117 A CN 201910304117A CN 109884780 A CN109884780 A CN 109884780A
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lens
focal power
positive
resolution
optical system
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CN109884780B (en
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全丽伟
龚俊强
李建华
陈安科
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Union Optech Co Ltd
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Union Optech Co Ltd
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Abstract

The invention discloses a kind of low costs, high-resolution ultrashort out-of-focus projection's optical system, are disposed on projecting direction: sensitive chip, equivalent prism, galvanometer, refractor component and non-spherical reflector;The refractor component is disposed with along projecting direction: the first lens group that the opposite sensitive chip of energy is moved forward and backward, the focal power of first lens group are positive;The second lens group that the opposite sensitive chip of energy is moved forward and backward, the focal power of second lens group are positive.The present invention is provided with galvanometer, and resolution ratio is very high, supports 4K resolution ratio;Group's quantity of the present invention is few simultaneously, only includes the first lens group and the second lens group, structure is simple, and by the reasonable distribution of focal power, greatly reduces cost, improve assembly precision.

Description

A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system
[technical field]
The present invention relates to a kind of ultrashort out-of-focus projection's optical system more particularly to a kind of low costs, high-resolution ultrashort coke Projection optical system.
[background technique]
Recently as the development of shadow casting technique, laser-projector has been widely used for the neck such as household, education, office Domain, wherein because its projection distance is short, the big feature of projection image is favored by the majority of consumers for ultrashort out-of-focus projection.
Ultra-short focus projection lens currently on the market mostly use the optical texture of catadioptric, but design structure is complicated, mainly Be embodied in the following aspects: 1, number of lenses is more, and because the eyeglass of refractive light paths can interfere with the reflection light of reflecting mirror, Eyeglass is cut into semicircle, and difficulty of processing is very big, and eyeglass cost is very high, while in order to assemble semicircle eyeglass, opponent's component Be also abnormal shape, precision it is difficult to ensure that, cause assembling after resolution of lens it is poor, be unable to reach 4K resolution effect;It 2, is realization Various sizes of projection image, camera lens inside increase focus adjusting mechanism, so that group's quantity is greater than 3 groups, assembling is at high cost, and because Group's quantity is more, and hot properties is poor.
The present invention is namely based on the fact that above and generates.
[summary of the invention]
The technical problem to be solved in the present invention is to provide a kind of low costs, high-resolution ultrashort out-of-focus projection's optical system.
In order to solve the above technical problems, present invention employs following technical proposals: a kind of inexpensive, high-resolution ultrashort Out-of-focus projection's optical system, which is characterized in that be disposed on projecting direction: sensitive chip, equivalent prism, galvanometer, refraction Lens subassembly and non-spherical reflector;
The refractor component is disposed with along projecting direction:
The first lens group that the opposite sensitive chip of energy is moved forward and backward, the focal power of first lens group are positive;
The second lens group that the opposite sensitive chip of energy is moved forward and backward, the focal power of second lens group are positive.
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that described first Lens group include the first lens set gradually along projecting direction, the second lens, the third lens, the 4th lens, the 5th lens, 6th lens, the 7th lens, diaphragm and the 8th lens;
Second lens group include the 9th lens set gradually along projecting direction, the tenth lens, the 11st lens, 12nd lens, the 13rd lens and the 14th lens.
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that described first Power of lens is positive, and second power of lens is positive, and the focal power of the third lens is negative, and the described 4th thoroughly The focal power of mirror is positive, and the third lens and the 4th lens are cemented lens;5th power of lens is positive, described 6th power of lens is negative, and the 7th power of lens is positive, and the 6th lens and the 7th lens are that bonding is saturating Mirror, the 8th power of lens are positive, and the 9th power of lens is positive, and the tenth power of lens is Just, the 11st power of lens is positive, and the 12nd power of lens is negative, the light focus of the 13rd lens Degree is negative, and the 14th power of lens is negative.
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that the sense Optical chip is placed relative to optical axis deviation, and the vertical range of the center of sensitive chip and optical axis is greater than 5.5mm.
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that described first The focal power of lens group is positive, and satisfaction 0.01≤| φ410|≤0.012;The focal power of second lens group is positive, and meets 0.04≤|φ420|≤0.042;Second lens group is T at a distance from non-spherical reflector, and the first lens to the 14th are thoroughly The distance of mirror is T14, ratio satisfaction: 1.19≤T14/T≤1.23。
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that described second Lens are Glass aspheric, and the two sides of the second lens bends towards non-spherical reflector, and focal power is positive, focal power φ2Meet: 0.022≤|φ2|≤0.025;5th lens are Glass aspheric, and the plane of light incidence of the 5th lens bends towards photosensitive Chip, light outgoing plane bends towards non-spherical reflector, and focal power is positive, focal power φ5Meet: 0.032≤| φ5|≤ 0.034;8th lens are Glass aspheric, and the light outgoing plane of the 8th lens bends towards non-spherical reflector, light The plane of incidence bends towards sensitive chip, and focal power is positive, focal power φ8Meet: 0.009≤| φ8|≤0.01。
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that the described tenth Four lens are that plastic cement is aspherical, and the plane of light incidence of the 14th lens bends towards non-spherical reflector, and light outgoing plane is bent towards Sensitive chip, the 14th power of lens are φ14, and focal power is negative, satisfaction 0.027≤| φ14|≤0.030, institute It is d that the 14th lens, which are stated, at a distance from the diaphragm, and the distance of first lens to the 14th lens is T14, ratio satisfaction: d/T14≥0.72。
A kind of inexpensive, high-resolution ultrashort out-of-focus projection's optical system as described above, which is characterized in that the third Lens and the 4th lens are balsaming lens, and cemented surface is bent towards non-spherical reflector direction, and focal power is negative, and are met: 0.023≤ |φ34|≤0.025, the 6th lens and the 7th lens are balsaming lens, and cemented surface is bent towards non-spherical reflector direction, light Focal power is negative, and meets: 0.022≤| φ67|≤0.024。
A kind of as described above low cost, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that described the Two lens, the 5th lens and the 8th lens are Glass aspheric, and the 14th lens and non-spherical reflector are that plastic cement is aspherical Mirror.
A kind of as described above low cost, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that described the Two lens, the 5th lens, the 8th lens, the 14th lens and non-spherical reflector aspherical surface shape meet with lower section Journey:
In formula, parameter c is curvature corresponding to radius, and y is that its unit of radial coordinate is identical with length of lens unit, K is circular cone whose conic coefficient;When k-factor is less than -1, the face shape curve of lens is hyperbola, when k-factor is equal to -1, thoroughly The face shape curve of mirror is parabola;When k-factor is between -1 to 0, the face shape curve of lens is ellipse, when k-factor is equal to 0 When, the face shape curve of lens is circle, and when k-factor is greater than 0, the face shape curve of lens is oblateness;α2To α16It respectively indicates Coefficient corresponding to each radial coordinate.
Compared with prior art, a kind of low cost of the invention, high-resolution ultrashort out-of-focus projection's optical system, reach Following effect:
1, the present invention is provided with galvanometer, and resolution ratio is very high, supports 4K resolution ratio;Group's quantity of the present invention is few simultaneously, only Including the first lens group and the second lens group, structure is simple, and by the reasonable distribution of focal power, greatly reduces into This, improves assembly precision.
2, optical projection system of the present invention exports≤5000 lumen-hours in brightness, and optical focus does not drift about, to realize Camera lens picture when booting uses for a long time for projector is still clear, without focusing.
[Detailed description of the invention]
Specific embodiments of the present invention will be described in further detail with reference to the accompanying drawing, in which:
Fig. 1 is schematic diagram of the present invention;
Fig. 2 is light path schematic diagram of the present invention.
[specific embodiment]
It elaborates with reference to the accompanying drawing to embodiments of the present invention.
As depicted in figs. 1 and 2, a kind of low cost, high-resolution ultrashort out-of-focus projection's optical system, on projecting direction according to It is secondary to be provided with sensitive chip 100, equivalent prism 200, galvanometer 300, refractor component 400 and non-spherical reflector 500;
The refractor component 400 is disposed with along projecting direction:
The first lens group 410 that the opposite sensitive chip 100 of energy is moved forward and backward, the focal power of first lens group 410 are Just;
The second lens group 420 that the opposite sensitive chip 100 of energy is moved forward and backward, the focal power of second lens group 420 are Just.The present invention is provided with galvanometer, and resolution ratio is very high, supports 4K resolution ratio;Group's quantity of the present invention is few simultaneously, only includes first Lens group and the second lens group, structure is simple, and by the reasonable distribution of focal power, greatly reduces cost, improve Assembly precision.
As depicted in figs. 1 and 2, in the present embodiment, first lens group 410 includes to set gradually along projecting direction The first lens 1, the second lens 2, the third lens 3, the 4th lens 4, the 5th lens 5, the 6th lens 6, the 7th lens 7, diaphragm 15 and the 8th lens 8;
Second lens group 420 includes the 9th lens 9, the tenth lens the 10, the tenth set gradually along projecting direction One lens 11, the 12nd lens 12, the 13rd lens 13 and the 14th lens 14.
As depicted in figs. 1 and 2, in the present embodiment, the focal power of first lens 1 is positive, second lens 2 Focal power is positive, and the focal power of the third lens 3 is negative, and the focal power of the 4th lens 4 is positive, the third lens 3 It is cemented lens with the 4th lens 4;The focal power of 5th lens 5 is positive, and the focal power of the 6th lens 6 is negative, institute The focal power for stating the 7th lens 7 is positive, and the 6th lens 6 and the 7th lens 7 are cemented lens, the light of the 8th lens 8 Focal power is positive, and the focal power of the 9th lens 9 is positive, and the focal power of the tenth lens 10 is positive, the 11st lens 11 focal power is positive, and the focal power of the 12nd lens 12 is negative, and the focal power of the 13rd lens 13 is negative, described The focal power of 14th lens 14 is negative.
As depicted in figs. 1 and 2, in the present embodiment, the sensitive chip 100 is placed relative to optical axis deviation, and is felt The center of optical chip 100 and the vertical range of optical axis are greater than 5.5mm.For meeting the emergent ray of refractor component by non- Light after spherical reflector is not interfered with refractor group, and eyeglass can be processed into circular eyeglass;The sensitive chip can be 0.65 inch, 0.66 inch and .67 inches etc..
Image strip is issued from sensitive chip, by equivalent prism 200 and galvanometer, when galvanometer carries out periodic vibration When, the signal that sensitive chip issues is extended to 2 times or 4 times, the resolution ratio of projection image be 2 times of sensitive chip resolution ratio or 4 times;Refractor component receives the light of galvanometer output, carries out for the first time between refractor component and non-spherical reflector First time imaging is reflexed to projection screen and forms high-resolution image by imaging, non-spherical reflector.
As depicted in figs. 1 and 2, in the present embodiment, the focal power of first lens group 410 is positive, and satisfaction 0.01≤| φ410|≤0.012;The focal power of second lens group 420 is positive, and satisfaction 0.04≤| φ420|≤0.042;Described second thoroughly Microscope group 420 is T at a distance from non-spherical reflector 500, and the distance of the first lens 1 to the 14th lens 14 is T14, and ratio is full Foot: 1.19≤T14/T≤1.23.When above-mentioned condition meets simultaneously, it can be achieved that camera lens biasing is greater than 140%, the reflection of reflecting mirror Light is not interfered with eyeglass, and eyeglass can be made into traditional circular eyeglass, to reduce costs, while when assembling eyeglass Opponent's component is easy to process, precision be guaranteed, it can be achieved that mass production.
As depicted in figs. 1 and 2, in the present embodiment, second lens 2 are Glass aspheric, the two sides of the second lens 2 Non-spherical reflector is bent towards, and focal power is positive, focal power φ2Meet: 0.022≤| φ2|≤0.025;5th lens 5 For Glass aspheric, the plane of light incidence of the 5th lens 5 bends towards sensitive chip, and light outgoing plane bends towards aspherical reflection Mirror, and focal power is positive, focal power φ5Meet: 0.032≤| φ5|≤0.034;8th lens 8 are Glass aspheric, institute The light outgoing plane for stating the 8th lens 8 bends towards non-spherical reflector, and plane of light incidence bends towards sensitive chip, and focal power is positive, Focal power φ8Meet: 0.009≤| φ8|≤0.01.Curvature of field when conditions above meets simultaneously, under recoverable difference projection distance And distortion, remain unchanged the resolution ratio under different projection distances.
As depicted in figs. 1 and 2, in the present embodiment, the 14th lens 14 are that plastic cement is aspherical, and the described 14th thoroughly The plane of light incidence of mirror 14 bends towards non-spherical reflector 500, and light outgoing plane bends towards sensitive chip 100, the 14th lens 14 focal power is φ14, and focal power is negative, satisfaction 0.027≤| φ14|≤0.030, the 14th lens 14 with it is described The distance of diaphragm 15 is d, and the distance of first lens 1 to the 14th lens 14 is T14, ratio satisfaction: d/T14≥0.72.On When stating condition while meeting, optical projection system can be made to export≤5000 lumen-hours in brightness, optical focus does not drift about, thus Realize that camera lens picture when booting uses for a long time for projector is still clear, without focusing.
As depicted in figs. 1 and 2, in the present embodiment, the third lens 3 and the 4th lens 4 are balsaming lens, cemented surface It being bent towards 500 direction of non-spherical reflector, focal power is negative, meets: 0.023≤| φ34|≤0.025,6 He of the 6th lens 7th lens 7 are balsaming lens, and cemented surface is bent towards 500 direction of non-spherical reflector, and focal power is negative, and are met: 0.022≤| φ67|≤0.024;The chromatic longitudiinal aberration of the big visual field of recoverable and the axial chromatic aberration under different wave length, make optical system have preferable color Color reproducibility.
As depicted in figs. 1 and 2, in the present embodiment, the second lens 2, the 5th lens 5 and the 8th lens 8 are glass Glass is aspherical, and the 14th lens 14 and non-spherical reflector 500 are plastic aspheric lenes.
As depicted in figs. 1 and 2, in the present embodiment, second lens 2, the 5th lens 5, the 8th lens the 8, the tenth The aspherical surface shape of four lens 14 and non-spherical reflector 500 meets following equation:
In formula, parameter c is curvature corresponding to radius, and y is that its unit of radial coordinate is identical with length of lens unit, K is circular cone whose conic coefficient;When k-factor is less than -1, the face shape curve of lens is hyperbola, when k-factor is equal to -1, thoroughly The face shape curve of mirror is parabola;When k-factor is between -1 to 0, the face shape curve of lens is ellipse, when k-factor is equal to 0 When, the face shape curve of lens is circle, and when k-factor is greater than 0, the face shape curve of lens is oblateness;α2To α16It respectively indicates Coefficient corresponding to each radial coordinate.
Following case is that can support 4K resolution ratio, the actual design of the ultrashort zoom lens suitable for 0.66 inch of sensitive chip Parameter:
The coefficient of non-spherical reflector S1 are as follows:
K:-1.9
a1: 0
a2: -6.9041281e-007
a3: 3.4378238e-011
a4: -7.0344002e-015
a5: 3.9422153e-019
a6: 2.1182668e-023
a7: -3.1605305e-027
a7: -9.8546656e-031
The coefficient of the first face (i.e. towards the face of non-spherical reflector) S2 of 14th lens 14 are as follows:
K:-7.75
a1: 0
a2: 3.1247406e-006
a3: 5.7794209e-011
a4: 2.0692792e-012
a5: 5.2611666e-018
a6: 4.7565924e-021
a7: 2.3067248e-023
The coefficient of the second face (i.e. towards the face of sensitive chip) S3 of 14th lens 14 are as follows:
K:-0.83
a1: 0
a2: 2.2929133e-005
a3: -9.3954147e-009
a4: 2.4684406e-012
a5: 5.758207e-018
a6: 7.1004376e-021
a7: 2.4231333e-023
The coefficient of first face S14 of the 8th lens 8 are as follows:
K:16.467
a1: 0
a2: -1.7940884e-005
a3: 1.1729275e-008
a4: -2.0855595e-011
a5: 2.2083614e-015
a6: 5.9666719e-018
a7: 3.3508557e-020
The coefficient of second face S15 of the 8th lens 8 are as follows:
K:-688.76
a1: 0
a2: -1.665533e-005
a3: 1.828739e-008
a4: -1.1974228e-011
a5: 6.8864607e-015
a6: 7.3940552e-017
a7: -2.6171042e-019
The coefficient of first face S20 of the 5th lens 5 are as follows:
K:-6.05
a1: 0
a2: 2.9893695e-005
a3: -4.0364543e-007
a4: 1.3294304e-009
a5: 1.7441722e-012
a6: 1.2999978e-014
a7: -5.032262e-016
The coefficient of second face S21 of the 5th lens 5 are as follows:
K:-0.246
a1: 0
a2: 6.4983657e-005
a3: -4.3980069e-007
a4: 2.3304877e-009
a5: 2.8737808e-013
a6: -6.4532246e-015
a7: -1.6780141e-017
The coefficient of first face S25 of the second lens 2 are as follows:
K:348.50
a1: 0
a2: 6.7627703e-005
a3: -1.9782493e-007
a4: 2.9598608e-010
a5: 1.5591812e-015
a6: 4.1851435e-018
a7: 1.472827e-019
The coefficient of second face S26 of the first lens 1 are as follows:
K:0.207
a1: 0
a2: 6.4833491e-006
a3: -1.8459836e-008
a4: -1.3173755e-010
a5: 2.0490769e-015
a6: -1.3882364e-017
a7: 7.0690322e-020
The projection scope of ultra-short focus projection lens is 0.4m to 0.75m, and the movement of the second lens group 420 focuses, focuses When each lens group between interval variation range it is as follows: be divided into 18.9 between the first lens group 410 and the second lens group 420 ~19.7mm, between the second lens group 420 and non-spherical reflector 500 between be divided into 106~107mm.
The present invention has been described in detail with reference to the accompanying drawings, those skilled in the art can be according to upper It states and bright many variations example is made to the present invention.Thus, certain details in embodiment should not constitute limitation of the invention, this Invention will be using the range that the appended claims define as protection scope of the present invention.

Claims (10)

1. a kind of low cost, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that set gradually on projecting direction Have: sensitive chip (100), equivalent prism (200), galvanometer (300), refractor component (400) and non-spherical reflector (500);
The refractor component (400) is disposed with along projecting direction:
The first lens group (410) that energy opposite sensitive chip (100) is moved forward and backward, the focal power of first lens group (410) It is positive;
The second lens group (420) that energy opposite sensitive chip (100) is moved forward and backward, the focal power of second lens group (420) It is positive.
2. a kind of low cost according to claim 1, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that First lens group (410) includes the first lens (1), the second lens (2), the third lens set gradually along projecting direction (3), the 4th lens (4), the 5th lens (5), the 6th lens (6), the 7th lens (7), diaphragm (15) and the 8th lens (8);
Second lens group (420) includes the 9th lens (9), the tenth lens (10), set gradually along projecting direction 11 lens (11), the 12nd lens (12), the 13rd lens (13) and the 14th lens (14).
3. a kind of low cost according to claim 2, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that The focal power of first lens (1) is positive, and the focal power of second lens (2) is positive, the light focus of the third lens (3) Degree is negative, and the focal power of the 4th lens (4) is positive, and the third lens (3) and the 4th lens (4) are cemented lens;Institute The focal power for stating the 5th lens (5) is positive, and the focal power of the 6th lens (6) is negative, the focal power of the 7th lens (7) It is positive, the 6th lens (6) and the 7th lens (7) are cemented lens, and the focal power of the 8th lens (8) is positive, described The focal power of 9th lens (9) is positive, and the focal power of the tenth lens (10) is positive, the light focus of the 11st lens (11) Degree is positive, and the focal power of the 12nd lens (12) is negative, and the focal power of the 13rd lens (13) is negative, and the described tenth The focal power of four lens (14) is negative.
4. a kind of low cost according to claim 1, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that The sensitive chip (100) is placed relative to optical axis deviation, and the center of sensitive chip (100) and the vertical range of optical axis are big In 5.5mm.
5. a kind of low cost according to claim 2, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that The focal power of first lens group (410) is positive, and satisfaction 0.01≤| φ410|≤0.012;Second lens group (420) Focal power is positive, and satisfaction 0.04≤| φ420|≤0.042;Second lens group (420) and non-spherical reflector (500) away from It is T from the distance for T, the first lens (1) to the 14th lens (14)14, ratio satisfaction: 1.19≤T14/T≤1.23。
6. a kind of low cost according to claim 2, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that Second lens (2) are Glass aspheric, and the two sides of the second lens (2) bends towards non-spherical reflector, and focal power is positive, light Focal power φ2Meet: 0.022≤| φ2|≤0.025;5th lens (5) are Glass aspheric, the 5th lens (5) Plane of light incidence bends towards sensitive chip, and light outgoing plane bends towards non-spherical reflector, and focal power is positive, focal power φ5Meet: 0.032≤|φ5|≤0.034;8th lens (8) are Glass aspheric, and the light outgoing plane of the 8th lens (8) is curved To non-spherical reflector, plane of light incidence bends towards sensitive chip, and focal power is positive, focal power φ8Meet: 0.009≤| φ8| ≤0.01。
7. a kind of low cost according to claim 2, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that 14th lens (14) are that plastic cement is aspherical, and the plane of light incidence of the 14th lens (14) bends towards non-spherical reflector (500), light outgoing plane is bent towards sensitive chip (100), and the focal power of the 14th lens (14) is φ14, and focal power is It is negative, satisfaction 0.027≤| φ14|≤0.030, the 14th lens (14) are d at a distance from the diaphragm (15), described first The distance of lens (1) to the 14th lens (14) is T14, ratio satisfaction: d/T14≥0.72。
8. a kind of low cost according to claim 3, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that The third lens (3) and the 4th lens (4) are balsaming lens, and cemented surface is bent towards non-spherical reflector (500) direction, light focus Degree is negative, and meets: 0.023≤| φ34|≤0.025, the 6th lens (6) and the 7th lens (7) they are balsaming lens, cemented surface It being bent towards non-spherical reflector (500) direction, focal power is negative, meets: 0.022≤| φ67|≤0.024。
9. a kind of low cost according to claim 3, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that Second lens (2), the 5th lens (5) and the 8th lens (8) are Glass aspheric, the 14th lens (14) and aspherical Reflecting mirror (500) is plastic aspheric lenes.
10. a kind of low cost according to claim 9, high-resolution ultrashort out-of-focus projection's optical system, which is characterized in that Second lens (2), the 5th lens (5), the 8th lens (8), the 14th lens (14) and non-spherical reflector (500) Aspherical surface shape meets following equation:
In formula, parameter c is curvature corresponding to radius, and y is that its unit of radial coordinate is identical with length of lens unit, and k is Circular cone whose conic coefficient;When k-factor is less than -1, the face shape curve of lens is hyperbola, when k-factor is equal to -1, lens Face shape curve be parabola;When k-factor is between -1 to 0, the face shape curve of lens is ellipse, when k-factor is equal to 0 When, the face shape curve of lens is circle, and when k-factor is greater than 0, the face shape curve of lens is oblateness;α2To α16It respectively indicates Coefficient corresponding to each radial coordinate.
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Cited By (7)

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CN111580267A (en) * 2020-06-29 2020-08-25 歌尔光学科技有限公司 Optical system and projection device
CN111596511A (en) * 2020-06-24 2020-08-28 歌尔光学科技有限公司 Optical system and projection device
CN113495347A (en) * 2021-09-07 2021-10-12 沂普光电(天津)有限公司 Ultra-short-focus lens
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