CN109143574A - A kind of lens chromatic aberration removing method - Google Patents

A kind of lens chromatic aberration removing method Download PDF

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Publication number
CN109143574A
CN109143574A CN201811129500.XA CN201811129500A CN109143574A CN 109143574 A CN109143574 A CN 109143574A CN 201811129500 A CN201811129500 A CN 201811129500A CN 109143574 A CN109143574 A CN 109143574A
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band
achromatic lens
coloured light
kth
radius
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CN109143574B (en
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许忠保
刘爽
李春桥
陈威
叶薇薇
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Hubei University of Technology
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Hubei University of Technology
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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
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour 
    • G02F1/13—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour  based on liquid crystals, e.g. single liquid crystal display cells
    • G02F1/1313—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour  based on liquid crystals, e.g. single liquid crystal display cells specially adapted for a particular application
    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour 
    • G02F1/13—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour  based on liquid crystals, e.g. single liquid crystal display cells
    • G02F1/133—Constructional arrangements; Operation of liquid crystal cells; Circuit arrangements
    • G02F1/13306—Circuit arrangements or driving methods for the control of single liquid crystal cells

Abstract

The invention discloses a kind of lens chromatic aberration removing method, PLC technology characteristic of this method based on pure phase position LCD space light modulator controls the amount of phase modulation of LCD space light modulator by gray value mapped actuation voltage.According to scalar diffraction theory, the odd wave band of the Fresnel Lenses of three kinds of wavelength modulation is applied into 2 π phases, even number wavestrip applies π phase, realizes that the three coloured light with common focal length is multiplexed lens, eliminates color difference.By the method for the invention, it can be realized the achromatism of any coloured light.

Description

A kind of lens chromatic aberration removing method
Technical field
The invention belongs to optical imaging field more particularly to a kind of lens chromatic aberration removing methods.
Background technique
The image quality of optical system is very sensitive to the variation of wavelength, and traditional colour killing difference method passes through two kinds or two kinds of selection The optimization of the above refractive index optical material different with dispersion and combination to lens parameter, reaches the achromatic purpose of system.With The development of binary optical processing technology, by be added diffraction surfaces, in the case where not introducing other additional aberrations using one kind The color difference of correction imaging system may be implemented in material, effectively reduces system bulk and weight.But this method carves diffraction surfaces Precision is lost, processing quality suffers from higher requirement.And above-mentioned these methods lack it is flexible, lens parameter once it is determined that, tool There is uniqueness and cannot be alternative.
The pure phase spatial light modulator of liquid crystal by grey scale mapping change addressing voltage control each pixel, thus make into The phase for penetrating light changes, and by the pixel control function of LCD space light modulator, a kind of multi-wavelength is multiplexed and ties at random The achromatism Fresnel Lenses for closing aperture constraint condition makes imaging system have flexibility, but programs and realize complicated, difficulty.
Summary of the invention
The invention proposes a kind of lens chromatic aberration removing methods, solve the problems, such as the flexible of imaging system, have and realize letter The features such as single, easy.
The technical solution adopted by the present invention to solve the technical problems is a kind of lens chromatic aberration removing method, specifically include with Lower step:
Step 1: the range of the first coloured light wavelength, second of coloured light wavelength and the third coloured light wavelength is set, according to The image planes size of achromatic lens focal length and LCD space light modulator calculates achromatic lens outmost turns radius and colour killing The quantity of band in aplanat；
Step 2: if in achromatic lens band serial number odd number, be arranged achromatic lens in the first coloured light band gray scale The gray scale definite value of calibration value, the gray scale definite value of second coloured light band and the third coloured light band calculates in achromatic lens The parameter of the parameter of the first coloured light band, the parameter of second coloured light band and the third coloured light band；
Step 3: if in achromatic lens band serial number even number, the gray value of band in achromatic lens is set, and calculating disappears The parameter of band in color difference lens；
Step 4: gray value parameter and radius parameter are input in LCD space light modulator and eliminate color difference.
Preferably, the range of the first coloured light wavelength described in step 1 are as follows:
λR∈[λR,L,λR,H]
Wherein, λR,LFor the minimum value of the first coloured light wavelength, λR,HFor the maximum value of the first coloured light wavelength；
The range of second of coloured light wavelength described in step 1 are as follows:
λG∈[λG,L,λG,H]
Wherein, λG,LFor the minimum value of second of coloured light wavelength, λG,HFor the maximum value of second of coloured light wavelength；
The range of the third coloured light wavelength described in step 1 are as follows:
λB∈[λB,L,λB,H]
Wherein, λB,LFor the minimum value of the third coloured light wavelength, λB,HFor the maximum value of the third coloured light wavelength；
Achromatic lens focal length described in step 1 is f, in the image planes size of LCD space light modulator described in step 1 A length of w, a height of h in image planes size；
If must reach the requirement of achromatic lens, the radius of achromatic lens outmost turns described in step 1 should meet:
R≤ρmax
ρmax=min (w, h)
Wherein, ρmaxFor the maximum value of achromatic lens outmost turns radius, min (w, h) is long and image planes ruler in image planes size High minimum value in very little；
The quantity of band in achromatic lens described in step 1 are as follows:
Wherein, ρmaxFor the maximum value of achromatic lens outmost turns radius, λR,HFor the maximum value of the first coloured light wavelength, f For achromatic lens phase model mid-focal length；
Preferably, if the serial number k k ∈ [0, N] of achromatic lens band described in step 2 is odd number, then achromatic lens Kth band is divided into achromatic lens kth band the first coloured light band, second of coloured light band of achromatic lens kth band, achromatic lens K is with the third coloured light band, integral multiple that the phase difference between odd bands is 2 π；
The gray scale definite value of the first coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DR DR∈[DR,L,DR,H]
Wherein, DR,LFor the grayscaling minimum value of the first coloured light band, DR,HFor the first coloured light band grayscaling most Big value；
The gray scale definite value of second of coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DG DG∈[DG,L,DG,H]
Wherein, DG,LFor the grayscaling minimum value of second of coloured light band, DG,HFor second of coloured light band grayscaling most Big value；
The gray scale definite value of the third coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DB DB∈[DB,L,DB,H]
Wherein, DB,LFor the grayscaling minimum value of the third coloured light band, DB,HFor the third coloured light band grayscaling most Big value；
The parameter of the first coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of the first coloured light band of achromatic lens kth band are as follows:
[ρk,R,L,ρk,R,H]
Wherein, N is the quantity of band in achromatic lens, ρk,R,LFor the radius of the first coloured light band of achromatic lens kth band Minimum value, ρk,R,HFor the radius maximum value of the first coloured light band of achromatic lens kth band, λR,LMost for the first coloured light wavelength Small value, λR,HFor the maximum value of the first coloured light wavelength, f is achromatic lens phase model mid-focal length, and k is achromatic lens band Serial number；
The area of the first coloured light band of achromatic lens kth band are as follows:
Sk,R=π (ρ2 k,R,H-ρ2 k,R,L)
The pixel quantity of the first coloured light band of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
The parameter of second of coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of achromatic lens kth second of coloured light band of band are as follows:
[ρk,G,L,ρk,G,H]
Wherein, N is the quantity of band in achromatic lens, ρk,G,LFor the radius of achromatic lens kth second of coloured light band of band Minimum value, ρk,G,HFor the radius maximum value of second of coloured light band of achromatic lens kth band, λG,LMost for second of coloured light wavelength Small value, λG,HFor the maximum value of second of coloured light wavelength, f is achromatic lens phase model mid-focal length, and k is achromatic lens band Serial number；
The area of achromatic lens kth second of coloured light band of band are as follows:
Sk,G=π (ρ2 k,G,H-ρ2 k,G,L)
The pixel quantity of achromatic lens kth second of coloured light band of band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
The parameter of the third coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of the third coloured light band of achromatic lens kth band are as follows:
[ρk,B,L,ρk,B,H]
Wherein, N is the quantity of band in achromatic lens, ρk,B,LFor the radius of the third coloured light band of achromatic lens kth band Minimum value, ρk,B,HFor the radius maximum value of the third coloured light band of achromatic lens kth band, λB,LMost for the third coloured light wavelength Small value, λB,HFor the maximum value of the third coloured light wavelength, f is achromatic lens phase model mid-focal length, and k is achromatic lens band Serial number；
The area of the third coloured light band of achromatic lens kth band are as follows:
Sk,B=π (ρ2 k,B,H-ρ2 k,B,L)
The pixel quantity of the third coloured light band of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
If then achromatism is saturating preferably, the serial number k k ∈ [1, N] of band is even number in achromatic lens described in step 3 Mirror kth band is a band, the integral multiple that the phase difference between even bands is π:
The gray scale definite value of achromatic lens kth band is set described in step 3 are as follows:
D0D0∈[D0,L,D0,H]
Wherein, D0,LFor the grayscaling minimum value of band, D0,HFor the grayscaling maximum value of band,
The parameter of band in calculating achromatic lens described in step 3 are as follows:
If k≤(λR,H+λB,L)/(λR,H-λB,L), then the radius of achromatic lens kth band are as follows:
[ρk,L,ρk,H]
Wherein, N is the quantity of band in achromatic lens, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,HTo disappear The radius maximum value of color difference lens kth band, λR,HFor the maximum value of the first coloured light wavelength, λB,LMost for the third coloured light wavelength Small value, f are achromatic lens phase model mid-focal length, and k is the serial number of achromatic lens band；
The area of achromatic lens kth band are as follows:
Sk=π (ρ2 k,H-ρ2 k,L)
The pixel quantity of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
If k > (λR,H+λB,L)/(λR,H-λB,L), then λ is reduced using the method for roundingR,HExtremelyMeet k≤(λR,H+ λB,L)/(λR,H-λB,L), the radius of achromatic lens kth band are as follows:
[ρk,L,ρk,H]
Wherein, N is the quantity of band in achromatic lens, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,HTo disappear The radius maximum value of color difference lens kth band, λR,HFor the maximum value of the first coloured light wavelength, λB,LMost for the third coloured light wavelength Small value, f are achromatic lens phase model mid-focal length, and k is the serial number of achromatic lens band；
The area of achromatic lens kth band are as follows:
Sk=π (ρ2 k,H-ρ2 k,L)
The pixel quantity of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
If k=0 is even number, the radius of the 0th band of achromatic lens are as follows:
The area of the 0th band of achromatic lens are as follows:
S0=π λB,Lf
The pixel quantity of the 0th band of achromatic lens are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
Preferably, gray value parameter described in step 4 are as follows:
DR DR∈[DR,L,DR,H]
DG DG∈[DG,L,DG,H]
DB DB∈[DB,L,DB,H]
D0D0∈[D0,L,D0,H]
Wherein, if the serial number k k ∈ [0, N] of achromatic lens band is odd number, DRFor the first color of achromatic lens kth band The gray scale definite value of light belt, DR,LFor the grayscaling minimum value of the first coloured light band, DR,HFor the gray scale of the first coloured light band Determine maximum value, DGFor the gray scale definite value of second of coloured light band of achromatic lens kth band, DG,LFor the gray scale of second of coloured light band Demarcate minimum value, DG,HFor the grayscaling maximum value of second of coloured light band, DBFor the third coloured light band of achromatic lens kth band Gray scale definite value, DB,LFor the grayscaling minimum value of the third coloured light band, DB,HFor the third coloured light band grayscaling most Big value；
If the serial number k k ∈ [0, N] of achromatic lens band is even number, D0For the gray scale definite value of achromatic lens kth band, D0,LFor the grayscaling minimum value of band, D0,HFor the grayscaling maximum value of band,
Radius parameter described in step 4 are as follows:
[ρk,R,L,ρk,R,H]
[ρk,G,L,ρk,G,H]
[ρk,B,L,ρk,B,H]
[ρk,L,ρk,H]
Wherein, if the serial number k k ∈ [0, N] of achromatic lens band is odd number, ρk,R,LFor achromatic lens kth band the first The radius minimum value of coloured light band, ρk,R,HFor the radius maximum value of the first coloured light band of achromatic lens kth band, ρk,G,LFor colour killing The radius minimum value of second of coloured light band of aplanat kth band, ρk,G,HFor achromatic lens kth second of coloured light band of band radius most Big value, ρk,B,LFor the radius minimum value of the third coloured light band of achromatic lens kth band, ρk,B,HFor achromatic lens kth band third The radius maximum value of kind coloured light band；
If the serial number k k ∈ [0, N] of achromatic lens band is even number, ρk,LIt is minimum for the radius of achromatic lens kth band Value, ρk,HFor the radius maximum value of achromatic lens kth band；
If the serial number k=0 of achromatic lens band, 0 is the radius minimum value of the 0th band of achromatic lens,For colour killing The radius maximum value of the 0th band of aplanat；
Color difference is eliminated described in step 4 are as follows:
Gray value parameter and radius parameter are input to LCD space light modulator, LCD space light modulator is logical It crosses the different of gray value parameter mapped actuation voltage value and changes liquid crystal molecule angle, so that the refractive index of each liquid crystal molecule occurs Change, i.e. the phase of incident light changes to realize phase-modulation, and output meets the wavestrip of radius parameter, to odd wave Band applies 2 π phases, and dual numbers wavestrip applies π phase, according to scalar diffraction theory, by the first coloured light, second of coloured light, the The Fresnel Lenses of three kinds of coloured light, three kinds of wavelength modulation together, is realized with common focal length according to achromatism conditional combination Lens are multiplexed, color difference is eliminated.
The beneficial effect comprise that: wide spectrum no color differnece may be implemented in no color differnece eyeglass.It is multiplexed the axial direction of lens Color difference is effectively corrected, and has identical focal length and resolution ratio with isochromatic lens.Compared to traditional depth of focus continuation method, originally The depth of focus continuation method of text have the characteristics that it is easy to operate, be easily achieved, be flexible controllable.This lens can reach any a variety of coloured light To achromatic purpose, and experimental verification is carried out.
Detailed description of the invention
Fig. 1: experiment light path principle figure of the invention；
Fig. 2: three coloured light phase-modulation curve of the present invention；
Fig. 3: achromatic lens structural schematic diagram of the present invention；
Fig. 4: the method for the present invention flow chart.
Specific embodiment
Understand for the ease of those of ordinary skill in the art and implement the present invention, with reference to the accompanying drawings and embodiments to this hair It is bright to be described in further detail, it should be understood that implementation example described herein is merely to illustrate and explain the present invention, not For limiting the present invention.
Embodiment of the present invention summarizes, the PLUTO-VIS that LCD space light modulator is produced using HOLOEYE company of Germany Type LCD space light modulator, image planes size 15.36mm × 8.64mm, resolution ratio are 1920 × 1080, and pixel dimension is 8 μm, Since the pixel size of the PLUTO device used is 8 μm, between pixel between be divided into 1 μm, then the size average out to of single pixel 9μm；The minimum focus of Fresnel Lenses should meet condition fmin≥260mm。
The first coloured light of following specific embodiments uses red light, and second of coloured light uses green light, the third coloured light Using blue light.
Embodiments of the present invention are introduced below with reference to Fig. 1 to Fig. 4, specifically includes the following steps:
Step 1: the range of the first coloured light wavelength, second of coloured light wavelength and the third coloured light wavelength is set, according to The image planes size of achromatic lens focal length and LCD space light modulator calculates achromatic lens outmost turns radius and colour killing The quantity of band in aplanat；
Preferably, the range of the first coloured light wavelength described in step 1 are as follows:
λR∈[λR,L,λR,H]
Wherein, λR,L=622nm λR,LFor the minimum value of the first coloured light wavelength, λR,H=760nm λR,HFor the first coloured light The maximum value of wavelength；
The range of second of coloured light wavelength described in step 1 are as follows:
λG∈[λG,L,λG,H]
Wherein, λG,L=492nm is the minimum value of second of coloured light wavelength, λG,H=577nm is second of coloured light wavelength Maximum value；
The range of the third coloured light wavelength described in step 1 are as follows:
λB∈[λB,L,λB,H]
Wherein, λB,L=435nm is the minimum value of the third coloured light wavelength, λB,H=450nm is the third coloured light wavelength Maximum value；
Achromatic lens focal length described in step 1 is f=500mm, the image planes of LCD space light modulator described in step 1 A length of w=15.36mm in size, a height of h=8.64mm in image planes size；
If must reach the requirement of achromatic lens, the radius of achromatic lens outmost turns described in step 1 should meet:
R≤ρmax
ρmax=min (w, h)
Wherein, ρmaxFor the maximum value of achromatic lens outmost turns radius, min (w, h) is long and image planes ruler in image planes size High minimum value in very little；
The quantity of band in achromatic lens described in step 1 are as follows:
Wherein, ρmaxFor the maximum value of achromatic lens outmost turns radius, λR,HFor the maximum value of the first coloured light wavelength, f =500mm is achromatic lens phase model mid-focal length；
Step 2: if in achromatic lens band serial number odd number, be arranged achromatic lens in the first coloured light band gray scale The gray scale definite value of calibration value, the gray scale definite value of second coloured light band and the third coloured light band calculates in achromatic lens The parameter of the parameter of the first coloured light band, the parameter of second coloured light band and the third coloured light band；
If the serial number k k ∈ [0, N] of achromatic lens band described in step 2 is odd number, then achromatic lens kth band is divided into Achromatic lens kth band the first coloured light band, second of coloured light band of achromatic lens kth band, achromatic lens kth band the third Coloured light band, the integral multiple that the phase difference between odd bands is 2 π；
The gray scale definite value of the first coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DR=180DR∈[DR,L,DR,H]
Wherein, DR,L=170 be the grayscaling minimum value of the first coloured light band, DR,H=190 be the first coloured light band Grayscaling maximum value；
The gray scale definite value of second of coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DG=90DG∈[DG,L,DG,H]
Wherein, DG,L=80 be the grayscaling minimum value of second of coloured light band, DG,H=100 be the ash of second of coloured light band Scale determines maximum value；
The gray scale definite value of the third coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DB=70DB∈[DB,L,DB,H]
Wherein, DB,L=60 be the grayscaling minimum value of the third coloured light band, DB,H=80 be the ash of the third coloured light band Scale determines maximum value；
The parameter of the first coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of the first coloured light band of achromatic lens kth band are as follows:
[ρk,R,L,ρk,R,H]
Wherein, N is the quantity of band in achromatic lens, ρk,R,LFor the radius of the first coloured light band of achromatic lens kth band Minimum value, ρk,R,HFor the radius maximum value of the first coloured light band of achromatic lens kth band, λR,LMost for the first coloured light wavelength Small value, λR,HFor the maximum value of the first coloured light wavelength, f=500mm is achromatic lens phase model mid-focal length, and k is achromatism The serial number of lens straps；
The area of the first coloured light band of achromatic lens kth band are as follows:
Sk,R=π (ρ2 k,R,H-ρ2 k,R,L)
The pixel quantity of the first coloured light band of achromatic lens kth band are as follows:
Wherein, the wid=9 μm of pixel wide for LCD space light modulator, mod is round numbers；
The parameter of second of coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of achromatic lens kth second of coloured light band of band are as follows:
[ρk,G,L,ρk,G,H]
Wherein, N is the quantity of band in achromatic lens, ρk,G,LFor the radius of achromatic lens kth second of coloured light band of band Minimum value, ρk,G,HFor the radius maximum value of second of coloured light band of achromatic lens kth band, λG,LMost for second of coloured light wavelength Small value, λG,HFor the maximum value of second of coloured light wavelength, f=500mm is achromatic lens phase model mid-focal length, and k is achromatism The serial number of lens straps；
The area of achromatic lens kth second of coloured light band of band are as follows:
Sk,G=π (ρ2 k,G,H-ρ2 k,G,L)
The pixel quantity of achromatic lens kth second of coloured light band of band are as follows:
Wherein, the wid=9 μm of pixel wide for LCD space light modulator, mod is round numbers；
The parameter of the third coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of the third coloured light band of achromatic lens kth band are as follows:
[ρk,B,L,ρk,B,H]
Wherein, N is the quantity of band in achromatic lens, ρk,B,LFor the radius of the third coloured light band of achromatic lens kth band Minimum value, ρk,B,HFor the radius maximum value of the third coloured light band of achromatic lens kth band, λB,LMost for the third coloured light wavelength Small value, λB,HFor the maximum value of the third coloured light wavelength, f=500mm is achromatic lens phase model mid-focal length, and k is achromatism The serial number of lens straps；
The area of the third coloured light band of achromatic lens kth band are as follows:
Sk,B=π (ρ2 k,B,H-ρ2 k,B,L)
The pixel quantity of the third coloured light band of achromatic lens kth band are as follows:
Wherein, the wid=9 μm of pixel wide for LCD space light modulator, mod is round numbers；
Step 3: if in achromatic lens band serial number even number, the gray value of band in achromatic lens is set, and calculating disappears The parameter of band in color difference lens；
If the serial number k k ∈ [1, N] of band is even number in achromatic lens described in step 3, then achromatic lens kth band is One band, the integral multiple that the phase difference between even bands is π:
The gray scale definite value of achromatic lens kth band is set described in step 3 are as follows:
D0=53D0∈[D0,L,D0,H]
Wherein, D0,L=50 be the grayscaling minimum value of band, D0,H=60 be the grayscaling maximum value of band,
The parameter of band in calculating achromatic lens described in step 3 are as follows:
If k≤(λR,H+λB,L)/(λR,H-λB,L), then the radius of achromatic lens kth band are as follows:
[ρk,L,ρk,H]
Wherein, N is the quantity of band in achromatic lens, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,HTo disappear The radius maximum value of color difference lens kth band, λR,HFor the maximum value of the first coloured light wavelength, λB,LMost for the third coloured light wavelength Small value, f=500mm are achromatic lens phase model mid-focal length, and k is the serial number of achromatic lens band；
The area of achromatic lens kth band are as follows:
Sk=π (ρ2 k,H-ρ2 k,L)
The pixel quantity of achromatic lens kth band are as follows:
Wherein, the wid=9 μm of pixel wide for LCD space light modulator, mod is round numbers；
If k > (λR,H+λB,L)/(λR,H-λB,L), then λ is reduced using the method for roundingR,HExtremelyMeet k≤(λR,H+ λB,L)/(λR,H-λB,L), the radius of achromatic lens kth band are as follows:
[ρk,L,ρk,H]
Wherein, N is the quantity of band in achromatic lens, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,HTo disappear The radius maximum value of color difference lens kth band, λR,HFor the maximum value of the first coloured light wavelength, λB,LMost for the third coloured light wavelength Small value, f=500mm are achromatic lens phase model mid-focal length, and k is the serial number of achromatic lens band；
The area of achromatic lens kth band are as follows:
Sk=π (ρ2 k,H-ρ2 k,L)
The pixel quantity of achromatic lens kth band are as follows:
Wherein, the wid=9 μm of pixel wide for LCD space light modulator, mod is round numbers；
If k=0 is even number, the radius of the 0th band of achromatic lens are as follows:
The area of the 0th band of achromatic lens are as follows:
S0=π λB,Lf
The pixel quantity of the 0th band of achromatic lens are as follows:
Wherein, the wid=9 μm of pixel wide for LCD space light modulator, mod is round numbers；
Step 4: gray value parameter and radius parameter are input in LCD space light modulator and eliminate color difference.
Gray value parameter described in step 4 are as follows:
DR=180DR∈[DR,L,DR,H]
DG=90DG∈[DG,L,DG,H]
DB=70DB∈[DB,L,DB,H]
D0=53D0∈[D0,L,D0,H]
Wherein, if the serial number k k ∈ [0, N] of achromatic lens band is odd number, DR=180 be achromatic lens kth band the A kind of gray scale definite value of coloured light band, DR,L=170 be the grayscaling minimum value of the first coloured light band, DR,H=190 be first The grayscaling maximum value of kind coloured light band, DG=90 be the gray scale definite value of second of coloured light band of achromatic lens kth band, DG,L =80 be the grayscaling minimum value of second of coloured light band, DG,H=100 be the grayscaling maximum value of second of coloured light band, DB =70 be the gray scale definite value of the third coloured light band of achromatic lens kth band, DB,L=60 be the grayscaling of the third coloured light band Minimum value, DB,H=80 be the grayscaling maximum value of the third coloured light band；
If the serial number k k ∈ [0, N] of achromatic lens band is even number, D0=53 be the gray scale of achromatic lens kth band Definite value, D0,L=50 be the grayscaling minimum value of band, D0,H=60 be the grayscaling maximum value of band,
Radius parameter described in step 4 are as follows:
[ρk,R,L,ρk,R,H]
[ρk,G,L,ρk,G,H]
[ρk,B,L,ρk,B,H]
[ρk,L,ρk,H]
Wherein, if the serial number k k ∈ [0, N] of achromatic lens band is odd number, ρk,R,LFor achromatic lens kth band the first The radius minimum value of coloured light band, ρk,R,HFor the radius maximum value of the first coloured light band of achromatic lens kth band, ρk,G,LFor colour killing The radius minimum value of second of coloured light band of aplanat kth band, ρk,G,HFor achromatic lens kth second of coloured light band of band radius most Big value, ρk,B,LFor the radius minimum value of the third coloured light band of achromatic lens kth band, ρk,B,HFor achromatic lens kth band third The radius maximum value of kind coloured light band；
If the serial number k k ∈ [0, N] of achromatic lens band is even number, ρk,LIt is minimum for the radius of achromatic lens kth band Value, ρk,HFor the radius maximum value of achromatic lens kth band；
If the serial number k=0 of achromatic lens band, 0 is the radius minimum value of the 0th band of achromatic lens,For colour killing The radius maximum value of the 0th band of aplanat；
Color difference is eliminated described in step 4 are as follows:
Gray value parameter and radius parameter are input to LCD space light modulator, LCD space light modulator is logical It crosses the different of gray value parameter mapped actuation voltage value and changes liquid crystal molecule angle, so that the refractive index of each liquid crystal molecule occurs Change, i.e. the phase of incident light changes to realize phase-modulation, and output meets the wavestrip of radius parameter, to odd wave Band applies 2 π phases, and dual numbers wavestrip applies π phase, according to scalar diffraction theory, by the first coloured light, second of coloured light, the The Fresnel Lenses of three kinds of coloured light, three kinds of wavelength modulation together, is realized with common focal length according to achromatism conditional combination Three coloured light is multiplexed lens, eliminates color difference.
It should be understood that the above-mentioned description for preferred embodiment is more detailed, can not therefore be considered to this The limitation of invention patent protection range, those skilled in the art under the inspiration of the present invention, are not departing from power of the present invention Benefit requires to make replacement or deformation under protected ambit, fall within the scope of protection of the present invention, this hair It is bright range is claimed to be determined by the appended claims.

Claims (5)

1. a kind of lens chromatic aberration removing method, which comprises the following steps:
Step 1: the range of the first coloured light wavelength, second of coloured light wavelength and the third coloured light wavelength is set, according to colour killing The image planes size of aplanat focal length and LCD space light modulator calculates achromatic lens outmost turns radius and achromatism is saturating The quantity of band in mirror；
Step 2: if in achromatic lens band serial number odd number, be arranged achromatic lens in the first coloured light band grayscaling The gray scale definite value of value, the gray scale definite value of second coloured light band and the third coloured light band calculates first in achromatic lens The parameter of the parameter of kind of coloured light band, the parameter of second coloured light band and the third coloured light band；
Step 3: if in achromatic lens band serial number even number, be arranged achromatic lens in band gray value, calculate achromatism The parameter of band in lens；
Step 4: gray value parameter and radius parameter are input in LCD space light modulator and eliminate color difference.
2. lens chromatic aberration removing method according to claim 1, it is characterised in that: the first coloured light wave described in step 1 Long range are as follows:
λR∈[λR,L,λR,H]
Wherein, λR,LFor the minimum value of the first coloured light wavelength, λR,HFor the maximum value of the first coloured light wavelength；
The range of second of coloured light wavelength described in step 1 are as follows:
λG∈[λG,L,λG,H]
Wherein, λG,LFor the minimum value of second of coloured light wavelength, λG,HFor the maximum value of second of coloured light wavelength；
The range of the third coloured light wavelength described in step 1 are as follows:
λB∈[λB,L,λB,H]
Wherein, λB,LFor the minimum value of the third coloured light wavelength, λB,HFor the maximum value of the third coloured light wavelength；
Achromatic lens focal length described in step 1 is f, a length of in the image planes size of LCD space light modulator described in step 1 W, a height of h in image planes size；
If must reach the requirement of achromatic lens, the radius of achromatic lens outmost turns described in step 1 should meet:
R≤ρmax
ρmax=min (w, h)
Wherein, ρmaxFor the maximum value of achromatic lens outmost turns radius, min (w, h) be in image planes size it is long in image planes size High minimum value；
The quantity of band in achromatic lens described in step 1 are as follows:
Wherein, ρmaxFor the maximum value of achromatic lens outmost turns radius, λR,HFor the maximum value of the first coloured light wavelength, f is to disappear Color difference lens phase model mid-focal length.
3. lens chromatic aberration removing method according to claim 1, it is characterised in that: achromatic lens band described in step 2 If serial number k k ∈ [0, N] be odd number, then achromatic lens kth band is divided into achromatic lens kth band the first coloured light band, disappears Second of coloured light band of color difference lens kth band, achromatic lens kth band the third coloured light band, the phase difference between odd bands is 2 π Integral multiple；
The gray scale definite value of the first coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DR DR∈[DR,L,DR,H]
Wherein, DR,LFor the grayscaling minimum value of the first coloured light band, DR,HFor the grayscaling maximum value of the first coloured light band；
The gray scale definite value of second of coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DG DG∈[DG,L,DG,H]
Wherein, DG,LFor the grayscaling minimum value of second of coloured light band, DG,HFor the grayscaling maximum value of second of coloured light band；
The gray scale definite value of the third coloured light band of achromatic lens kth band is set described in step 2 are as follows:
DB DB∈[DB,L,DB,H]
Wherein, DB,LFor the grayscaling minimum value of the third coloured light band, DB,HFor the grayscaling maximum value of the third coloured light band；
The parameter of the first coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of the first coloured light band of achromatic lens kth band are as follows:
Wherein, N is the quantity of band in achromatic lens, ρk,R,LFor the radius minimum of the first coloured light band of achromatic lens kth band Value, ρk,R,HFor the radius maximum value of the first coloured light band of achromatic lens kth band, λR,LFor the minimum value of the first coloured light wavelength, λR,HFor the maximum value of the first coloured light wavelength, f is achromatic lens phase model mid-focal length, and k is the sequence of achromatic lens band Number；
The area of the first coloured light band of achromatic lens kth band are as follows:
Sk,R=π (ρ2 k,R,H-ρ2 k,R,L)
The pixel quantity of the first coloured light band of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
The parameter of second of coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of achromatic lens kth second of coloured light band of band are as follows:
Wherein, N is the quantity of band in achromatic lens, ρk,G,LIt is minimum for the radius of second of coloured light band of achromatic lens kth band Value, ρk,G,HFor the radius maximum value of second of coloured light band of achromatic lens kth band, λG,LFor the minimum value of second of coloured light wavelength, λG,HFor the maximum value of second of coloured light wavelength, f is achromatic lens phase model mid-focal length, and k is the sequence of achromatic lens band Number；
The area of achromatic lens kth second of coloured light band of band are as follows:
Sk,G=π (ρ2 k,G,H-ρ2 k,G,L)
The pixel quantity of achromatic lens kth second of coloured light band of band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
The parameter of the third coloured light band in calculating achromatic lens described in step 2 are as follows:
The radius of the third coloured light band of achromatic lens kth band are as follows:
Wherein, N is the quantity of band in achromatic lens, ρk,B,LFor the radius minimum of the third coloured light band of achromatic lens kth band Value, ρk,B,HFor the radius maximum value of the third coloured light band of achromatic lens kth band, λB,LFor the minimum value of the third coloured light wavelength, λB,HFor the maximum value of the third coloured light wavelength, f is achromatic lens phase model mid-focal length, and k is the sequence of achromatic lens band Number；
The area of the third coloured light band of achromatic lens kth band are as follows:
Sk,B=π (ρ2 k,B,H-ρ2 k,B,L)
The pixel quantity of the third coloured light band of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers.
4. lens chromatic aberration removing method according to claim 1, it is characterised in that: in achromatic lens described in step 3 If the serial number k k ∈ [1, N] of band is even number, then achromatic lens kth band is a band, and the phase difference between even bands is π's Integral multiple:
The gray scale definite value of achromatic lens kth band is set described in step 3 are as follows:
D0D0∈[D0,L,D0,H]
Wherein, D0,LFor the grayscaling minimum value of band, D0,HFor the grayscaling maximum value of band,
The parameter of band in calculating achromatic lens described in step 3 are as follows:
If k≤(λR,H+λB,L)/(λR,H-λB,L), then the radius of achromatic lens kth band are as follows:
Wherein, N is the quantity of band in achromatic lens, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,HFor achromatism The radius maximum value of lens kth band, λR,HFor the maximum value of the first coloured light wavelength, λB,LFor the minimum of the third coloured light wavelength Value, f are achromatic lens phase model mid-focal length, and k is the serial number of achromatic lens band；
The area of achromatic lens kth band are as follows:
Sk=π (ρ2 k,H-ρ2 k,L)
The pixel quantity of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
If k > (λR,H+λB,L)/(λR,H-λB,L), then λ is reduced using the method for roundingR,HTo λ* R,HMeet k≤(λR,H+λB,L)/ (λR,H-λB,L), the radius of achromatic lens kth band are as follows:
Wherein, N is the quantity of band in achromatic lens, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,HFor achromatism The radius maximum value of lens kth band, λR,HFor the maximum value of the first coloured light wavelength, λB,LFor the minimum of the third coloured light wavelength Value, f are achromatic lens phase model mid-focal length, and k is the serial number of achromatic lens band；
The area of achromatic lens kth band are as follows:
Sk=π (ρ2 k,H-ρ2 k,L)
The pixel quantity of achromatic lens kth band are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers；
If k=0 is even number, the radius of the 0th band of achromatic lens are as follows:
The area of the 0th band of achromatic lens are as follows:
S0=π λB,Lf
The pixel quantity of the 0th band of achromatic lens are as follows:
Wherein, wid is the pixel wide of LCD space light modulator, and mod is round numbers.
5. lens chromatic aberration removing method according to claim 1, it is characterised in that: gray value parameter described in step 4 are as follows:
DR DR∈[DR,L,DR,H]
DG DG∈[DG,L,DG,H]
DB DB∈[DB,L,DB,H]
D0D0∈[D0,L,D0,H]
Wherein, if the serial number k k ∈ [0, N] of achromatic lens band is odd number, DRFor the first coloured light band of achromatic lens kth band Gray scale definite value, DR,LFor the grayscaling minimum value of the first coloured light band, DR,HFor the first coloured light band grayscaling most Big value, DGFor the gray scale definite value of second of coloured light band of achromatic lens kth band, DG,LFor the grayscaling of second of coloured light band Minimum value, DG,HFor the grayscaling maximum value of second of coloured light band, DBFor the ash of the third coloured light band of achromatic lens kth band Calibrations, DB,LFor the grayscaling minimum value of the third coloured light band, DB,HFor the grayscaling maximum value of the third coloured light band；
If the serial number k k ∈ [0, N] of achromatic lens band is even number, D0For the gray scale definite value of achromatic lens kth band, D0,LFor The grayscaling minimum value of band, D0,HFor the grayscaling maximum value of band,
Radius parameter described in step 4 are as follows:
[ρk,R,L,ρk,R,H]
[ρk,G,L,ρk,G,H]
[ρk,B,L,ρk,B,H]
[ρk,L,ρk,H]
Wherein, if the serial number k k ∈ [0, N] of achromatic lens band is odd number, ρk,R,LFor the first coloured light of achromatic lens kth band The radius minimum value of band, ρk,R,HFor the radius maximum value of the first coloured light band of achromatic lens kth band, ρk,G,LIt is saturating for achromatism The radius minimum value of second of coloured light band of mirror kth band, ρk,G,HIt is maximum for the radius of second of coloured light band of achromatic lens kth band Value, ρk,B,LFor the radius minimum value of the third coloured light band of achromatic lens kth band, ρk,B,HFor achromatic lens kth band the third The radius maximum value of coloured light band；
If the serial number k k ∈ [0, N] of achromatic lens band is even number, ρk,LFor the radius minimum value of achromatic lens kth band, ρk,H For the radius maximum value of achromatic lens kth band；
If the serial number k=0 of achromatic lens band, 0 is the radius minimum value of the 0th band of achromatic lens,It is saturating for achromatism The radius maximum value of the 0th band of mirror；
Color difference is eliminated described in step 4 are as follows:
Gray value parameter and radius parameter are input to LCD space light modulator, LCD space light modulator passes through ash The different of angle value parameter mapped actuation voltage value change liquid crystal molecule angle, so that the refractive index of each liquid crystal molecule changes Become, i.e. the phase of incident light changes to realize phase-modulation, and output meets the wavestrip of radius parameter, to odd wave band Apply 2 π phases, dual numbers wavestrip applies π phase, according to scalar diffraction theory, by the first coloured light, second of coloured light, third The Fresnel Lenses of kind three kinds of wavelength of coloured light modulation together, realizes answering with common focal length according to achromatism conditional combination With lens, color difference is eliminated.
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