CN108152949B - A kind of design method of the diffraction optical element based on space segment coherent light - Google Patents

A kind of design method of the diffraction optical element based on space segment coherent light Download PDF

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CN108152949B
CN108152949B CN201711183812.4A CN201711183812A CN108152949B CN 108152949 B CN108152949 B CN 108152949B CN 201711183812 A CN201711183812 A CN 201711183812A CN 108152949 B CN108152949 B CN 108152949B
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complex amplitude
diffraction
image
optical element
coherent light
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CN108152949A (en
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刘娟
段俊毅
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Beijing Institute of Technology BIT
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Abstract

The present invention provides the design method and device of a kind of diffraction optical element, wherein the described method includes: S1, is superimposed the partially coherent light field of the image light field complex amplitude and partially coherent light source to diffraction image at pre-determined distance, obtains interference complex amplitude;The luminous intensity of the partially coherent light field is substituted into the phase of the interference complex amplitude, obtains diffraction complex amplitude by S2;The phase of the diffraction complex amplitude is designed the diffraction optical element by S3.The design method and device of a kind of diffraction optical element provided by the invention, by partially coherent light Coherent Part codified and modulation, incoherent part can be averaged speckle the characteristics of be applied to design of diffractive optical element field, while realizing wavefront modification weaken optical field amplitude mutually rise at random cancellation the phenomenon that, speckle is inhibited, picture quality is enhanced.

Description

A kind of design method of the diffraction optical element based on space segment coherent light
Technical field
The present invention relates to diffractive optics technology field more particularly to the design methods and device of a kind of diffraction optical element.
Background technique
Diffraction optical element is a kind of novel optical element with important application prospect, and design is based on optical diffraction Theory, and by Computer Design kinoform, it is made of microelectronic processing technique, can finally realize several light simultaneously Learn function.
The design method of conventional diffractive optical element is all premised on coherent light, during optical modulation, it may appear that The case where random mutually long cancellation, and then lead to occur speckle in modulation result, influence image quality.For this problem, lead to Can often take iterative algorithm, it is time-multiplexed, relevant record incoherent reproduction and pixel separation method etc. be averaged complex amplitude with The coherent superposition of machine weakens speckle while guaranteeing that modulation result is accurate, plays certain promotion to the improvement of image quality Effect.
But in the above method, for coherent light design diffraction optical element, only reduction coherence disappears in modulated process Except the method for speckle is not ideal solution, often there are deviations in design and actual use.It is contemplated that light source phase The design method of stemness is very necessary to the actual use of diffraction optical element.
Summary of the invention
The present invention is to solve the problems, such as that coherent light existing in the prior art disappears with captain to influence image quality, provides one The design method and device of kind diffraction optical element.
On the one hand, the present invention proposes a kind of design method of diffraction optical element, comprising: S1, superposition exist to diffraction image The partially coherent light field of image light field complex amplitude and partially coherent light source at pre-determined distance obtains interference complex amplitude;S2, by institute The luminous intensity for stating partially coherent light field substitutes into the phase of the interference complex amplitude, obtains diffraction complex amplitude;S3, by the diffraction The phase of complex amplitude designs the diffraction optical element as transmissivity.
Preferably, further includes: S0 is calculated using point source method to the image light field complex amplitude at diffraction image pre-determined distance; Fourier transformation, fetching portion coherent states field are carried out to partially coherent light source.
Preferably, before the step S0 further include: random phase is added in diffraction image.
Preferably, the reference light of the point source method application in calculation is coherent light.
Preferably, the partially coherent light source is Gauss light source.
On the other hand, the present invention proposes a kind of design device of diffraction optical element, comprising: interference complex amplitude obtains single Member, for being superimposed the partially coherent light of image light field complex amplitude and partially coherent light source to diffraction image at pre-determined distance , obtain interference complex amplitude;Diffraction complex amplitude acquiring unit, it is described dry for substituting into the luminous intensity of the partially coherent light field It relates in the phase of complex amplitude, obtains diffraction complex amplitude;Unit is realized, for using the phase of the diffraction complex amplitude as transmissivity Design the diffraction optical element;The diffraction complex amplitude acquiring unit respectively with the interference complex amplitude acquiring unit and realization Unit electrical connection.
It preferably, further include image complex amplitude acquiring unit light filed acquisition unit related to part, described image complex amplitude The related light filed acquisition unit of acquiring unit and part is electrically connected with the interference complex amplitude acquiring unit respectively;Described image is shaken again Width acquiring unit is used to calculate using point source method to the image light field complex amplitude at diffraction image pre-determined distance;The part is related Light filed acquisition unit is used to carry out Fourier transformation, fetching portion coherent states field to partially coherent light source.
It preferably, further include image pre-processing unit, described image pretreatment unit and described image complex amplitude obtain single Member electrical connection;For random phase to be added in diffraction image.
In another aspect, the present invention proposes a kind of design equipment of diffraction optical element, comprising: at least one processor;With And at least one processor being connect with the processor communication, in which: the memory, which is stored with, to be held by the processor Capable program instruction, the processor call described program instruction to be able to carry out foregoing method.
Another aspect, the present invention propose that a kind of non-transient computer readable storage medium, the non-transient computer are readable Storage medium stores computer instruction, and the computer instruction makes the computer execute foregoing method.
The design method and device of a kind of diffraction optical element provided by the invention, partially coherent light Coherent Part can be compiled Code and modulation, incoherent part can be averaged speckle the characteristics of be applied to design of diffractive optical element field, realize wavefront modification While weaken optical field amplitude mutually rise at random cancellation the phenomenon that, it is suppressed that speckle enhances picture quality.
Detailed description of the invention
Fig. 1 is a kind of flow diagram of the design method of diffraction optical element of the specific embodiment of the invention;
Fig. 2 is a kind of flow diagram of the design method of diffraction optical element of the specific embodiment of the invention;
Fig. 3 is a kind of structural schematic diagram of the design device of diffraction optical element of the specific embodiment of the invention;
Fig. 4 is a kind of structural schematic diagram of the design equipment of diffraction optical element of the specific embodiment of the invention.
Specific embodiment
With reference to the accompanying drawings and examples, specific embodiments of the present invention will be described in further detail.Implement below Example is not intended to limit the scope of the invention for illustrating the present invention.
Fig. 1 is a kind of flow diagram of the design method of diffraction optical element of the specific embodiment of the invention, such as Fig. 1 institute Show, a kind of design method of diffraction optical element, comprising: S1, the image light field being superimposed to diffraction image at pre-determined distance are multiple The partially coherent light field of amplitude and partially coherent light source obtains interference complex amplitude;S2, by the luminous intensity of the partially coherent light field It substitutes into the phase of the interference complex amplitude, obtains diffraction complex amplitude;S3, using the phase of the diffraction complex amplitude as transmissivity Design the diffraction optical element.
Specifically, firstly, treating image light field complex amplitude H of the diffraction image at pre-determined distance dC(x, y) and part phase The partially coherent light field E that dry light source generatesP(x, y) carries out complex amplitude superposition, i.e., by image light field complex amplitude HC(x, y) and part Coherent states field EP(x, y) is multiplied, and obtains interference complex amplitude Hi(x,y).Wherein, the partially coherent light source issued section coherent light, The partially coherent light can eliminate some ill-effects of coherent light, such as cyclization, speckle, edge effect and burnt shifting.
Secondly, by the partially coherent light field EPThe light intensity of (x, y) substitutes into the interference obtained in previous step by superposition Complex amplitude HiOptical bleaching is carried out in the phase of (x, y), is obtained diffraction complex amplitude H (x, y), and the diffraction complex amplitude H (x, y) is The COMPLEX AMPLITUDE of the diffraction optical element.Wherein, the optical bleaching is incited somebody to action in the manufacturing process of phase type hologram The light distribution of exposure is linearly changed into the phase distribution of hologram.
Finally, by the phase bit position Φ (x, y) of the diffraction complex amplitude H (x, y) as the saturating of the diffraction optical element Penetrate rate distribution.The diffraction optical element can be in degree of coherence light source identical with the partially coherent light source as reproduction light Under the conditions of, reconstruction image I is observed at the pre-determined distancer(x,y)。
In the specific embodiment of the invention, partially coherent light Coherent Part codified and modulation, incoherent part can be averaged The characteristics of speckle, is applied to design of diffractive optical element field, weakens optical field amplitude while realizing wavefront modification and mutually rises at random The phenomenon that cancellation, it is suppressed that speckle enhances picture quality.
Based on the above embodiment, a kind of design method of diffraction optical element, further includes: S0, using point source method calculate to Image light field complex amplitude at diffraction image pre-determined distance;Fourier transformation is carried out to partially coherent light source, fetching portion is relevant Light field.
Specifically, it is calculated using point source method described to diffraction image according to known to diffraction image and pre-determined distance Light field complex amplitude H of the complex amplitude light field at pre-determined distanceC(x,y);
To partially coherent light source application Fourier transformation part, corresponding fetching portion coherent states field EP(x,y).Its In, the Fourier transformation (Fourier Transform, FT) is frequency spectrum optical Information Processing in coherence imaging system Information is interpreted as image quality problem the variation of spectrum information in incoherent imaging system, and dissects the propagation of light with this, spreads out The basic opticals problem such as penetrate and be imaged.In the specific embodiment of the invention, the Fourier transformation is used for the partially coherent light The light field of source input is converted to it in the corresponding output light field E of domain spaceP(x,y)。
In the specific embodiment of the invention, image light field complex amplitude and portion are obtained by point source method and Fourier transformation respectively Divide coherent states field, provides calculating basis for the design of the diffraction element parameter.
Based on any of the above-described embodiment, a kind of design method of diffraction optical element, before the step S0 further include: to Random phase is added in diffraction image.
Specifically, firstly, reading in diffraction image I0(x, y), and to diffraction image I0Random phase is added in (x, y) Distribution obtains image complex amplitudeIn the specific embodiment of the invention, by initial in image complex amplitude Change in process and random phase is added, form diffusing reflection convenient for imaging surface, realizes the purpose for observing image from different angles.
Based on any of the above-described specific embodiment, a kind of design method of diffraction optical element, the point source method calculate in answer Reference light is coherent light.In the specific embodiment of the invention, the coherent light is preferably plane wave.
Based on any of the above-described specific embodiment, a kind of design method of diffraction optical element, the partially coherent light source is Gauss light source.
Specifically, the Gauss light source issues Gaussian beam, and the Gaussian beam refers in the plane comprising the direction of propagation Optical field distribution be in Gaussian function curve shape continuous laser beam.In the specific embodiment of the invention, the Gauss light source is half The sphere shape light that diameter is ρ, intensity is Gaussian Profile, the phase random distribution in light source range, degree of coherence are decided by initial height The radius ρ of this light beam.
In order to better understand and using a kind of design method of diffraction optical element proposed by the present invention, the present invention is carried out Following example, and the present invention is not only limited to following example.
Fig. 2 is a kind of flow diagram of the design method of diffraction optical element of the specific embodiment of the invention, such as Fig. 2 institute Show, by taking a 2D image as an example:
1) calculative image I is read in a computer0(x,y);
2) in I0Random phase is added in (x, y) to be distributed to obtain image complex amplitude:
3) light field complex amplitude H of the image complex amplitude light field at distance d in step 2) is calculated with point source methodc(x, y) is (silent Recognizing reference light is plane wave);
4) sphere shape light that be ρ by Radius, intensity is Gaussian Profile, the phase random distribution in light source range carries out Fu In leaf transformation, as a result be the space segment coherent states field H based on circular Gaussian beamp(x, y), degree of coherence are decided by initially The radius ρ of Gaussian beam;
5) by the space segment coherent states field H in step 4)p(x, y) and image light field complex amplitude Hc(x, y) is multiplied, and obtains Interfere complex amplitude Hi(x,y);
6) the intensity I of space segment coherent states field is takeni(x, y) is added to interference complex amplitude HiIt is carried out in the phase of (x, y) Optical bleaching finally obtains diffraction element COMPLEX AMPLITUDE H (x, y);
7) the phase bit position Φ (x, y) for taking H (x, y) is etched into corresponding grating with laser direct writing system, and with 4) in The space segment coherent light of same coherent degree observes reconstruction image I as light is reproduced, rebuilding at distance dr(x,y);
In the specific embodiment of the invention, partially coherent light is applied to design of diffractive optical element field, is realizing wavefront While modulation weaken optical field amplitude mutually rise at random cancellation the phenomenon that, it is suppressed that speckle enhances picture quality.
Fig. 3 is a kind of structural schematic diagram of the design device of diffraction optical element of the specific embodiment of the invention, such as Fig. 3 institute Show, is based on any of the above-described method specific embodiment, a kind of design device of diffraction optical element, including interference complex amplitude and obtains list Member 301, diffraction complex amplitude acquiring unit 302 and realization unit 303;Wherein, the interference complex amplitude acquiring unit 301, is used for It is superimposed the partially coherent light field of the image light field complex amplitude and partially coherent light source to diffraction image at pre-determined distance, is obtained dry Relate to complex amplitude;The diffraction complex amplitude acquiring unit 302, for the luminous intensity of the partially coherent light field to be substituted into the interference In the phase of complex amplitude, diffraction complex amplitude is obtained;The realization unit 303, for using the phase of the diffraction complex amplitude as Transmissivity designs the diffraction optical element;The diffraction complex amplitude acquiring unit 302 is obtained with the interference complex amplitude respectively Unit 301 and realization unit 303 are electrically connected.
Specifically, firstly, interference complex amplitude acquiring unit 301 treats image light field of the diffraction image at pre-determined distance d Complex amplitude HCThe partially coherent light field E that (x, y) and partially coherent light source generateP(x, y) carries out complex amplitude superposition, i.e., by image light Field complex amplitude HC(x, y) and partially coherent light field EP(x, y) is multiplied, and obtains interference complex amplitude Hi(x,y).Wherein, the part phase Dry light source issued section coherent light, the partially coherent light can eliminate some ill-effects of coherent light, such as cyclization, speckle, Edge effect and burnt shifting.Then, the interference complex amplitude acquiring unit 301 is by the interference complex amplitude Hi(x, y), which is sent to, to spread out Penetrate complex amplitude acquiring unit 302.
Secondly, the diffraction complex amplitude acquiring unit 302 is by the partially coherent light field EPThe luminous intensity of (x, y) substitutes into institute State the interference complex amplitude H that interference complex amplitude acquiring unit 301 is sentiOptical bleaching is carried out in the phase of (x, y), and it is multiple to obtain diffraction Amplitude H (x, y), the diffraction complex amplitude H (x, y) are the COMPLEX AMPLITUDE of the diffraction optical element.Then, the diffraction is multiple The diffraction complex amplitude H (x, y) is sent to and realizes unit 303 by amplitude acquiring unit 302.
Finally, spreading out described in phase bit position Φ (x, the y) conduct for realizing unit 303 for the diffraction complex amplitude H (x, y) Penetrate the transmissivity distribution of optical element.The diffraction optical element can be in degree of coherence light identical with the partially coherent light source Under conditions of source is as light is reproduced, reconstruction image I is observed at the pre-determined distancer(x,y)。
In the specific embodiment of the invention, partially coherent light Coherent Part codified and modulation, incoherent part can be averaged The characteristics of speckle, is applied to design of diffractive optical element field, weakens optical field amplitude while realizing wavefront modification and mutually rises at random The phenomenon that cancellation, it is suppressed that speckle enhances picture quality.
Based on any of the above-described embodiment, a kind of design device of diffraction optical element further includes that image complex amplitude obtains list It is first to the related light filed acquisition unit in part, described image complex amplitude acquiring unit and partially correlation light filed acquisition unit respectively with institute State interference complex amplitude acquiring unit electrical connection;Described image complex amplitude acquiring unit is used to calculate using point source method to diffraction image Image light field complex amplitude at pre-determined distance;The part correlation light filed acquisition unit is used to carry out in Fu partially coherent light source Leaf transformation, fetching portion coherent states field.
Specifically, image complex amplitude acquiring unit according to known to diffraction image and pre-determined distance, using point source method meter Calculate the light field complex amplitude H to the complex amplitude light field of diffraction image at pre-determined distanceC(x, y), and the light field is shaken again Width HC(x, y) is sent to interference complex amplitude acquiring unit.
The related light filed acquisition unit in part is to partially coherent light source application Fourier transformation part, corresponding fetching portion Coherent states field EP(x, y), and by the partially coherent light field EP(x, y) is sent to interference complex amplitude acquiring unit.Wherein, described Fourier transformation (Fourier Transform, FT) is spectrum information optical Information Processing in coherence imaging system, In incoherent imaging system, image quality problem is interpreted as the variation of spectrum information, and dissects propagation, diffraction and the imaging of light with this Etc. basic opticals problem.In the specific embodiment of the invention, what the Fourier transformation was used to input the partially coherent light source Light field is converted to it in the corresponding output light field E of domain spaceP(x,y)。
In the specific embodiment of the invention, image light field complex amplitude and portion are obtained by point source method and Fourier transformation respectively Divide coherent states field, provides calculating basis for the design of the diffraction element parameter.
Based on any of the above-described specific embodiment, a kind of design device of diffraction optical element, further includes image preprocessing list Member, described image pretreatment unit are electrically connected with described image complex amplitude acquiring unit;For in diffraction image be added with Machine phase.
Specifically, image pre-processing unit is read in diffraction image I0(x, y), and to diffraction image I0It is added in (x, y) Random phase distribution, obtains image complex amplitudeIn the specific embodiment of the invention, by multiple in image Random phase is added in amplitude initialization process, forms diffusing reflection convenient for imaging surface, image is observed in realization from different angles Purpose.
Based on any of the above-described specific embodiment, a kind of design device of diffraction optical element, the point source method calculate in answer Reference light is coherent light.In the specific embodiment of the invention, the coherent light is preferably plane wave.
Based on any of the above-described specific embodiment, a kind of design device of diffraction optical element, the partially coherent light source is Gauss light source.
Specifically, the Gauss light source issues Gaussian beam, and the Gaussian beam refers in the plane comprising the direction of propagation Optical field distribution be in Gaussian function curve shape continuous laser beam.In the specific embodiment of the invention, the Gauss light source is half The sphere shape light that diameter is ρ, intensity is Gaussian Profile, the phase random distribution in light source range, degree of coherence are decided by initial height The radius ρ of this light beam.
Fig. 4 is a kind of structural schematic diagram of the design equipment of diffraction optical element of the specific embodiment of the invention, such as Fig. 4 institute Show, which includes: at least one processor 401;And at least one processor with the processor 401 communication connection 402, in which: the memory 402 is stored with the program instruction that can be executed by the processor 401, and the processor 401 calls The method that described program instruction is able to carry out the verification of network equipments configuration provided by the various embodiments described above, for example, superposition To the partially coherent light field of image light field complex amplitude and partially coherent light source of the diffraction image at pre-determined distance, it is multiple to obtain interference Amplitude;The luminous intensity of the partially coherent light field is substituted into the phase of the interference complex amplitude, obtains diffraction complex amplitude;By institute The phase for stating diffraction complex amplitude designs the diffraction optical element as transmissivity.
The embodiment of the present invention also provides a kind of non-transient computer readable storage medium, the non-transient computer readable storage Medium storing computer instruction, the computer instruction make computer execute the adaptively side of video code rate provided by corresponding embodiment Method, for example, the part phase of image light field complex amplitude and partially coherent light source of the superposition to diffraction image at pre-determined distance Dry light field obtains interference complex amplitude;The luminous intensity of the partially coherent light field is substituted into the phase of the interference complex amplitude, is obtained Take diffraction complex amplitude;The diffraction optical element is designed using the phase of the diffraction complex amplitude as transmissivity.
Those of ordinary skill in the art will appreciate that: realize that all or part of the steps of above method embodiment can pass through The relevant hardware of program instruction is completed, and program above-mentioned can be stored in a computer readable storage medium, the program When being executed, step including the steps of the foregoing method embodiments is executed;And storage medium above-mentioned includes: ROM, RAM, magnetic disk or light The various media that can store program code such as disk.
Finally, the present processes are only preferable embodiment, it is not intended to limit the scope of the present invention.It is all Within the spirit and principles in the present invention, any modification, equivalent replacement, improvement and so on should be included in protection of the invention Within the scope of.

Claims (10)

1. a kind of design method of diffraction optical element characterized by comprising
S1 is superimposed the partially coherent light of the image light field complex amplitude and partially coherent light source to diffraction image at pre-determined distance , obtain interference complex amplitude;
The luminous intensity of the partially coherent light field is substituted into the phase of the interference complex amplitude, obtains diffraction complex amplitude by S2;
The phase of the diffraction complex amplitude is designed the diffraction optical element by S3.
2. the method according to claim 1, wherein further include:
S0 calculates the image light field complex amplitude to diffraction image at pre-determined distance using point source method;To partially coherent light source into Row Fourier transformation, fetching portion coherent states field.
3. according to the method described in claim 2, it is characterized in that, before the step S0 further include: add in diffraction image Enter random phase.
4. according to the method described in claim 2, it is characterized in that, the reference light of the point source method application in calculation is relevant Light.
5. according to claim 1 to method described in any claim in 4, which is characterized in that the partially coherent light source is Gauss light source.
6. a kind of design device of diffraction optical element characterized by comprising
Interfere complex amplitude acquiring unit, for being superimposed image light field complex amplitude and part phase to diffraction image at pre-determined distance The partially coherent light field of dry light source obtains interference complex amplitude;
Diffraction complex amplitude acquiring unit, for the luminous intensity of the partially coherent light field to be substituted into the phase of the interference complex amplitude In, obtain diffraction complex amplitude;
Unit is realized, for designing the diffraction optical element for the phase of the diffraction complex amplitude as transmissivity;
The diffraction complex amplitude acquiring unit is electrically connected with the interference complex amplitude acquiring unit and realization unit respectively.
7. device according to claim 6, which is characterized in that further include image complex amplitude acquiring unit light related to part Field acquiring unit, the related light filed acquisition unit of described image complex amplitude acquiring unit and part are obtained with the interference complex amplitude respectively Unit is taken to be electrically connected;
Described image complex amplitude acquiring unit is used to calculate the image light field to diffraction image at pre-determined distance using point source method Complex amplitude;The part correlation light filed acquisition unit is used to carry out partially coherent light source Fourier transformation, and fetching portion is relevant Light field.
8. device according to claim 7, which is characterized in that further include image pre-processing unit, described image pretreatment Unit is electrically connected with described image complex amplitude acquiring unit;For random phase to be added in diffraction image.
9. a kind of design equipment of diffraction optical element characterized by comprising
At least one processor;And at least one processor being connect with the processor communication, in which: the memory is deposited The program instruction that can be executed by the processor is contained, the processor calls described program instruction to be able to carry out such as claim 1 to 5 any method.
10. a kind of non-transient computer readable storage medium, which is characterized in that the non-transient computer readable storage medium is deposited Computer instruction is stored up, the computer instruction makes computer execute method as claimed in claim 1 to 5.
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CN109188711B (en) * 2018-09-17 2020-11-03 深圳奥比中光科技有限公司 Under-screen optical system, design method of diffractive optical element, and electronic apparatus
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