CN109270607A - A kind of one chip broadband achromatism folding spreads out hybrid lens and design method - Google Patents
A kind of one chip broadband achromatism folding spreads out hybrid lens and design method Download PDFInfo
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- CN109270607A CN109270607A CN201811453680.7A CN201811453680A CN109270607A CN 109270607 A CN109270607 A CN 109270607A CN 201811453680 A CN201811453680 A CN 201811453680A CN 109270607 A CN109270607 A CN 109270607A
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B3/00—Simple or compound lenses
- G02B3/02—Simple or compound lenses with non-spherical faces
- G02B3/08—Simple or compound lenses with non-spherical faces with discontinuous faces, e.g. Fresnel lens
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/18—Diffraction gratings
- G02B5/1876—Diffractive Fresnel lenses; Zone plates; Kinoforms
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Abstract
The invention belongs to optical fields, it is big to solve conventional one-piece formula lens chromatic aberration, the bad problem of image quality, it is proposed that a kind of one chip broadband achromatism rolls over spread out hybrid lens and design method, it includes two optical surfaces that the one chip broadband achromatism, which rolls over the hybrid lens that spread out, two optical surface common optical axis, one of optical surface is high order aspheric surface, another optical surface is harmonic diffraction surfaces, first to R wave band, G-band and B wave band carry out the focal power distribution of two optical surfaces, in R wave band, achromatism is realized in G-band and B wave band, humorous diffraction parameters are chosen again, make R wave band, the copolymerization of the central wavelength of G-band and B wave band is burnt, the high-order term of the high-order term and harmonic diffraction surfaces that finally adjust refractive aspheric surfaces expands visual field, reduce lens thickness, correct remaining aberration.The one chip folding designed with this method the hybrid lens that spread out effectively reduce dispersion, and very high image quality simultaneously realizes the lightening of device.
Description
Technical field
The invention belongs to optical fields, and in particular to a kind of achromatic lens design method, especially a kind of one chip are wide
Wave band achromatism rolls over hybrid lens design method of spreading out.
Background technique
With the development of science and technology, wearable device is more more and more universal in people's daily life.Mobile phone is used as and answers at present
The extensive concern of scientific and technical personnel has been obtained with a kind of most widely wearable device.The length of mobile lens decides the following mobile phone
How thin it can accomplish.Mobile lens often use the structures such as 5 chips, 6 chips at present, limit mobile phone further do it is thin.
VR (virtual reality technology, Virtual Reality) technology is suggested in the 1980s, this is a kind of
Skill generated using computer hardware structure with software control system, on computers, the generation feeling of immersion in three-dimensional environment
Art.With the raising of the development of computer technology and sensor performance in recent years, various helmet-type virtual reality displays occur
On the market, it is made of substantially display screen or mobile phone and a pair of of eyepiece, human eye can see by eyepiece to be amplified on screen
Image, the image in the variation adjustment left and right screen of sensor sensing head part enables human eye to see three-dimensional, has and hand over
The visual pattern of mutual property.
Traditional VR glasses can make VR to correct eyepiece bring color difference, distortion etc. often using one group of camera lens in this way
The whole excessively heavy comfort level for influencing to wear of glasses.For the weight for mitigating VR glasses, currently used scheme is one chip ball
Face mirror, aspherical mirror or refraction type Fresnel Lenses.One chip spherical mirror, aspherical mirror or refraction type Fresnel Lenses band
The color difference problem come can not lean on lens itself to eliminate, and at this moment need in advance to handle image, then shown by display, this meeting
The reduction of image definition is caused, spinning sensation is generated, influences viewing experience.Existing refraction type Fresnel Lenses, unavoidably
Ground can introduce many stray lights in virtual reality device, when so that user using virtual reality device, it is seen that vision it is empty
The edge of scape image is fuzzy or even occurs being formed smear or ghost, and the serious vision for reducing virtual reality device is imitated
Fruit affects user experience.
Summary of the invention
The invention solves conventional one-piece formula lens chromatic aberration is big, the bad problem of image quality.For a kind of monolithic of the displosure
Formula broadband achromatism rolls over spread out hybrid lens and design method.Concrete scheme is as follows:
A kind of one chip broadband achromatism folding spreads out hybrid lens, and the one chip broadband achromatism folding spreads out hybrid lens
Including the first optical surface, the second optical surface, the first optical surface and the second optical surface common optical axis；Wherein the first optical surface is that high order is non-
Spherical surface, the second optical surface are harmonic diffraction surfaces；Fresnel annular zone group of the harmonic diffraction surfaces by substrate and superposition on the substrate
At wherein the substrate includes plane, spherical surface, aspherical or high order aspheric surface；
The difference of the focal power of first optical surface and the second optical surface substrate are as follows:
The surface rise equation of Fresnel annular zone is
Wherein: f ' is the focal length that one chip broadband achromatism rolls over the hybrid lens that spread out, γdifFor Fresnel annular zone face Ah
Shellfish number, γrefFor the Abbe number of refractive material, n is the refractive index of lens material；K is the Fresnel annular zone sequence of humorous Difraction surface
Number, k=1,2 ..., xk, ykFor the substrate coordinate of harmonic diffraction surfaces in kth annulus, p is humorous diffraction parameters.
The design method that the one chip broadband achromatism rolls over the hybrid lens that spread out is as follows；
According to the following formula:
The focal power for carrying out the first optical surface and the second optical surface substrate to R wave band, G-band and B wave band respectively is distributed,
Achromatism is realized in R wave band, G-band and B wave band, in which: R wave band, G-band and B wave band respectively indicate the wide wave of the one chip
Section achromatism rolls over red spectral band, green light band, blue wave band in the hybrid lens incident light source that spreads out, f 'difFor the second optical surface phenanthrene
The focal length of Nie Er annulus, f 'refFor the focal length of the first optical surface, f ' is the coke that one chip broadband achromatism rolls over the hybrid lens that spread out
Away from γdifFor the Abbe number in Fresnel annular zone face, γrefFor the Abbe number of refractive material；
Further according to following formula:
Humorous diffraction parameters p is chosen, is copolymerized the central wavelength of R wave band, G-band and B wave band burnt, wherein λR、λG、λBRespectively
For the central wavelength of R wave band, G-band and B wave band, p is the humorous diffraction parameters of harmonic diffraction surfaces, λ0For the middle cardiac wave of harmonic diffraction surfaces
It is long；
The high-order term of the high-order term and the second optical surface that adjust the first optical surface expands visual field, reduces lens thickness, correction
Remaining aberration.
First optical surface is that even order terms are aspherical, face shape equation are as follows: In formula, c is aspherical curvature, and r is the distance that lens surface a little arrives optical axis, and k is conical surface degree, a2,
a4, a6For multiple term coefficient.
First optical surface is that odd item is aspherical, face shape equation are as follows: In formula, c is aspherical curvature, and r is the distance that lens surface a little arrives optical axis,
K is conical surface degree, a1, a2, a3, a4, a5For multiple term coefficient.
The working principle of above-mentioned achromatic lens is: focal power is distributed by the substrate of the first optical surface and harmonic diffraction surfaces,
It realizes that R wave band, G-band, B wave band realize achromatism, R wave band, G wave is then made by the diffraction micro structural realization on harmonic diffraction surfaces
Section and the central wavelength of B wave band are copolymerized burnt；Pass through the high-order term of the high-order term and harmonic diffraction surfaces of the first optical surface or two optical surfaces
It realizes and expands visual field, reduce lens thickness, correct remaining aberration effect.
Due to the application of the above technical scheme, compared with the prior art, the invention has the following advantages:
1. one chip broadband achromatism folding of the invention spreads out, hybrid lens can be realized tri- wave band achromatisms of RGB.
2. one chip broadband achromatism folding of the invention spreads out, hybrid lens thickness is thin, and light-weight, manufacturing cost is low.
3. be used for VR glasses and mobile lens, it may not be necessary to be pre-processed image and by RGB tri-
Wave band achromatism, so that the clarity of image will not be reduced；The thickness that VR glasses and mobile lens can also be shortened, it is heavy to reduce its
Amount.
Detailed description of the invention
Fig. 1 is that one chip broadband achromatism rolls over the hybrid lens schematic diagram that spreads out,
Fig. 2 is R wave band point range figure,
Fig. 3 is G-band point range figure,
Fig. 4 is B wave band point range figure,
Fig. 5 is R wave band full filed MTF,
Fig. 6 is G-band full filed MTF,
Fig. 7 is B wave band full filed MTF,
Fig. 8 is 60 ° of visual field biconvex VR lens index paths,
Fig. 9 is 60 ° of visual field biconvex VR lens imaging MTF figures,
Figure 10 is 60 ° of visual field hybrid lens index paths,
Figure 11 is 60 ° of visual field hybrid lens imaging MTF figures；
Wherein: 1 is the first optical surface, and 2 be the second optical surface.
Specific embodiment
The invention will be further described with reference to the accompanying drawings and embodiments:
Embodiment one: a kind of one chip broadband achromatism folding spreads out hybrid lens, the mixing as shown in Figure 1, folding spreads out
Lens include the first optical surface 1, the second optical surface 2, the first optical surface and the second optical surface common optical axis；Wherein the first optical surface is
High order aspheric surface, the second optical surface are harmonic diffraction surfaces；Fresnel of the harmonic diffraction surfaces by substrate and superposition on the substrate
Annulus composition, wherein the substrate includes plane, spherical surface, aspherical or high order aspheric surface；
The face shape equation of first optical surface are as follows:
Wherein x1, y1For the first optical surface
Bottom coordinate.
Its substrate of second optical surface is high order aspheric surface, the high order aspheric surface equation of substrate are as follows:
Wherein x2, y2For the bottom coordinate of the second optical surface.
The rise equation of Fresnel annular zone on second optical surface are as follows:
Wherein k is the Fresnel annular zone ordinal number on the second optical surface, k=1,2 ..., xk, ykFor the second light in kth annulus
The substrate coordinate in face.
Embodiment two: a kind of one chip broadband achromatism folding spreads out hybrid lens design method, according to the following formula:
The focal power for carrying out the first optical surface and the second optical surface substrate to R wave band, G-band and B wave band respectively is distributed,
Achromatism is realized in R wave band, G-band and B wave band, in which: R wave band, G-band and B wave band respectively indicate the wide wave of the one chip
Section achromatism rolls over red spectral band, green light band, blue wave band in the hybrid lens incident light source that spreads out, f 'difFor the second optical surface phenanthrene
The focal length of Nie Er annulus, f 'refFor the focal length of the first optical surface, f ' is the coke that one chip broadband achromatism rolls over the hybrid lens that spread out
Away from γdifFor the Abbe number in Fresnel annular zone face, γrefFor the Abbe number of refractive material；
Further according to following formula:
Humorous diffraction parameters p is chosen, is copolymerized the central wavelength of R wave band, G-band and B wave band burnt, wherein λR、λG、λBRespectively
For the central wavelength of R wave band, G-band and B wave band, p is the humorous diffraction parameters of harmonic diffraction surfaces, λ0For the middle cardiac wave of harmonic diffraction surfaces
It is long；
The high-order term of the high-order term and the second optical surface that adjust the first optical surface expands visual field, reduces lens thickness, correction
Remaining aberration.
By taking VR glasses as an example, it is as follows that one chip broadband achromatism rolls over hybrid lens design method of spreading out: the LCD in VR glasses
Display screen is 5.5 inches, resolution ratio 1440*2560, and Pixel size is 47.25 μm, the arrangement side of three sub- pixels of RGB
Formula is the arrangement of RGB stripe shape, and the size of sub- pixel is 15.75*47.25 μm.VR lens material selects PMMA, and processing method selects essence
Close diamond turning method.
Three bandwidth of LCD display are respectively the center of 481-491nm, 582-592nm, 651-661nm, three wave bands
Wavelength is respectively as follows: λR=656nm, λG=587nm, λB=486nm.According to the following formula:
Suitable humorous diffraction parameters are chosen, three central wavelength apochromatism are made.The present embodiment chooses humorous diffraction parameters P=
19, design wavelength lambda0=587nm.λR, λG, λBThe precisely resonance wave length of harmonic diffraction surfaces.
According to the following formula:
Focal power distribution is carried out to three wave bands respectively.For 481-491nm, γBdif=-48.61, γBref=629.3,
f′Bdif=551mm, f 'Bref=42.55mm.For 582-592nm, γGdif=-58.76, γGref=1140.72, f 'Gdif=
806mm, f 'Gref=41.53mm.For 651-661nm, γRdif=-65.63, γRref=1532.14, f 'Rdif=962mm,
f′Rref=41.19mm.Being eventually found makes in three wave bands the smallest optimal solution of color difference as initial configuration.
After having selected initial configuration, expand view by adjusting the high-order term of the first optical surface and the high-order term of the second optical surface
, reduce lens thickness, corrects remaining aberration.
The complete center thickness for rolling over the hybrid lens that spread out for VR one chip broadband achromatism of final design is 5.8mm, after
Focal length is 37.8mm, thirdly the point range figure of wave band is as in Figure 2-4, root mean square radii is respectively less than the half of Pixel size.Its
As illustrated in figs. 5-7, at nyquist frequency, the MTF of each visual field is all larger than 0.8 to MTF curve.
Embodiment three: a kind of VR glasses spread out including the one chip broadband achromatism folding in frame, embodiment one and mix
Mirror, the one chip broadband achromatism are rolled over the hybrid lens that spread out and are mounted on frame, be provided on frame for accommodating display
Screen aid component.
In the present embodiment, by a kind of patent " VR glasses biconvex lens " (the authorization public affairs of the present invention and authorization in 2018
Announcement number: it 105785487 B of CN) compares.
105785487 B of CN discloses a kind of VR glasses biconvex lens, and setting exit pupil diameter is 4mm, emergent pupil away from for
15mm, wavelength are set as F, d, C light, and 60 ° of full filed.It is described according in 105785487 B of CN, optimizes the biconvex lens, finally
Index path after optimization is as shown in Figure 8.Biconvex lens center thickness after optimization is 14.926mm, from pupil of human to display screen
Distance be 64.87mm, mtf curve as shown in figure 9, from fig. 9, it can be seen that the VR lens only the visual field on axis have it is higher
Resolution ratio.
The VR glasses biconvex lens announced with lens of the present invention replacement 105785487 B of CN, it will make VR
The image quality of eyeball gets a promotion.Same setting exit pupil diameter is 4mm, and emergent pupil is away from for 15mm, and wavelength is set as F, d, C light, entirely
60 ° of visual field, the index path after final optimization pass is as shown in Figure 10.Hybrid lens center thickness after optimization is 5.8mm, from human eye pupil
Distance 58.6mm, the mtf curve of hole to display screen is as shown in figure 11, from fig. 10 it can be seen that the mtf of each visual field reaches
0.9, there is high image quality.Hybrid lens of the present invention when being used in VR device can alleviator significantly weight
Amount, the length of shortening device, and color difference can be eliminated, improve image quality.
The technical program unspecified part belongs to techniques well known.
Claims (5)
- A kind of hybrid lens 1. one chip broadband achromatism folding spreads out, it is characterised in that: the one chip broadband achromatism folding The hybrid lens that spread out include the first optical surface, the second optical surface, the first optical surface and the second optical surface common optical axis；Wherein the first optics Face is high order aspheric surface, and the second optical surface is harmonic diffraction surfaces；Phenanthrene of the harmonic diffraction surfaces by substrate and superposition on the substrate Nie Er annulus composition, wherein the substrate includes plane, spherical surface, aspherical or high order aspheric surface；The difference of the focal power of first optical surface and the second optical surface substrate are as follows:The surface rise equation of Fresnel annular zone isWherein: f ' is the focal length that one chip broadband achromatism rolls over the hybrid lens that spread out, γdifFor the Abbe number in Fresnel annular zone face, γrefFor the Abbe number of material, n is the refractive index of material；Fresnel annular zone ordinal number of the k for humorous Difraction surface, k=1,2 ..., xk, ykFor the substrate coordinate of harmonic diffraction surfaces in kth annulus, p is humorous diffraction parameters.
- A kind of hybrid lens design method 2. one chip broadband achromatism folding spreads out, it is characterised in that: the one chip broadband Achromatism rolls over the hybrid lens that spread out and includes the first optical surface, the second optical surface, the first optical surface and the second optical surface common optical axis；Wherein First optical surface is high order aspheric surface, and the second optical surface is harmonic diffraction surfaces；The harmonic diffraction surfaces are by substrate and are superimposed upon the base Fresnel annular zone composition on bottom, wherein the substrate includes plane, spherical surface, aspherical or high order aspheric surface；According to following Formula:The focal power for carrying out the first optical surface and the second optical surface substrate to R wave band, G-band and B wave band respectively is distributed, in R wave Achromatism is realized in section, G-band and B wave band, in which: R wave band, G-band and B wave band respectively indicate the one chip broadband and disappear Color difference rolls over red spectral band, green light band, blue wave band in the hybrid lens incident light source that spreads out, f 'difFor the second optical surface Fresnel The focal length of annulus, f 'refFor the focal length of the first optical surface, f ' is the focal length that one chip broadband achromatism rolls over the hybrid lens that spread out, γdifFor the Abbe number in Fresnel annular zone face, γrefFor the Abbe number of refractive material；Further according to following formula:Humorous diffraction parameters p is chosen, is copolymerized the central wavelength of R wave band, G-band and B wave band burnt, wherein λR、λG、λBRespectively R wave Section, the central wavelength of G-band and B wave band, p are the humorous diffraction parameters of harmonic diffraction surfaces, λ0For the central wavelength of harmonic diffraction surfaces；The high-order term of the high-order term and the second optical surface that adjust the first optical surface expands visual field, reduces lens thickness, corrects remaining Aberration.
- The hybrid lens design method 3. a kind of one chip broadband achromatism folding according to claim 2 spreads out, is characterized in that: First optical surface is that even order terms are aspherical, face shape equation are as follows:In formula, c be aspherical curvature, r be lens surface a bit To the distance of optical axis, k is conical surface degree, a2, a4, a6For multiple term coefficient.
- The hybrid lens design method 4. a kind of one chip broadband achromatism folding according to claim 2 spreads out, is characterized in that: First optical surface is that odd item is aspherical, face shape equation are as follows: In formula, c is aspherical curvature, and r is Lens surface a little arrives the distance of optical axis, and k is conical surface degree, a1, a2, a3, a4, a5For multiple term coefficient.
- 5. a kind of VR glasses, it is characterised in that: rolled over including one chip broadband achromatism described in frame, the claims Spread out hybrid lens, and the one chip broadband achromatism is rolled over the hybrid lens that spread out and is mounted on frame, is provided with and is used on frame It accommodates display screen and accommodates component.
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Cited By (7)
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| CN110286473A (en) * | 2019-07-23 | 2019-09-27 | 苏州大学 | A kind of one chip achromatism mobile lens |
| CN111897117A (en) * | 2020-08-12 | 2020-11-06 | 长春理工大学 | Ultra-thin medium-long wave infrared dual-waveband imaging system |
| CN112394430A (en) * | 2020-12-18 | 2021-02-23 | 湖南华南光电(集团)有限责任公司 | General low-cost large-view-field laser seeker optical system |
| CN113281830A (en) * | 2021-05-19 | 2021-08-20 | 烟台艾睿光电科技有限公司 | Lens and optical lens |
| CN113671607A (en) * | 2020-12-14 | 2021-11-19 | 明月镜片股份有限公司 | Double-sided aspheric lens and design method thereof |
| CN115980997A (en) * | 2022-12-19 | 2023-04-18 | 中国科学院光电技术研究所 | Design method of broadband refraction and diffraction hybrid lens |
| CN117406436A (en) * | 2023-12-14 | 2024-01-16 | 浙江大学杭州国际科创中心 | Lens group generation method, device, lens group, device and storage medium |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110286473A (en) * | 2019-07-23 | 2019-09-27 | 苏州大学 | A kind of one chip achromatism mobile lens |
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| CN117406436A (en) * | 2023-12-14 | 2024-01-16 | 浙江大学杭州国际科创中心 | Lens group generation method, device, lens group, device and storage medium |
| CN117406436B (en) * | 2023-12-14 | 2024-03-29 | 浙江大学杭州国际科创中心 | Lens group generation method, device, lens group, device and storage medium |
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| CN109270607B (en) | 2020-05-12 |
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