CN113985604A - System and method for rapidly generating dynamic distortion partially coherent light based on mode decomposition - Google Patents
System and method for rapidly generating dynamic distortion partially coherent light based on mode decomposition Download PDFInfo
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Abstract
The invention discloses a system and a method for rapidly generating dynamic distortion partially coherent light based on mode decomposition, wherein the system comprises: a laser for generating laser light; a first computer for decomposing the warped partially coherent light beam into a superimposed version of the weighted, orthonormal perfect eigen-fundamental mode; determining the mode of the required eigen-fundamental mode and the weight thereof according to the superposition form of the eigen-fundamental mode of the decomposition of the twisted partially coherent light, the specific parameter size of the twisted partially coherent light to be generated and the requirement of accuracy; loading a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator; and the spatial light modulator is used for receiving the laser and modulating the laser to obtain the dynamically-twisted partially-coherent light. The invention needs few modes and has shorter time consumption for generating light beams; dynamic regulation and control of the distorted partially coherent light beam can be realized only by changing the hologram loaded in the spatial light modulator; the modes are mutually orthogonal, and no additional cross terms are generated.
Description
Technical Field
The invention relates to the technical field of optics, in particular to a system and a method for quickly generating dynamic distortion partially coherent light based on mode decomposition.
Background
It is known that phase is an important control variable of the light field. Since 1993 Simon et al proposed a twisted phase, people have conducted a great deal of research on twisted partially coherent light by methods such as mode decomposition, Wigner distribution and tensor expression, and it is proved that the twisted partially coherent light has completely new statistical properties in properties such as intensity, coherence, polarization and orbital angular momentum, and has a wide application prospect in aspects such as beam shaping, particle capture, improvement of imaging resolution and free space optical communication. The fact that the twisted partially coherent light can be actually generated is a basic premise for meeting application requirements, and therefore an actual generation method of the twisted partially coherent light is explored to a certain extent.
The twisted partially coherent light has inseparability in phase, unlike a light beam with a general phase, and thus cannot be obtained by a method of directly generating an electric field, but needs to be converted or superimposed by obtaining other easily generated light beams. The principle of converting a light beam into a distorted partially coherent light is to generate a light source and then convert the light source into the distorted partially coherent light through an optical system. A typical experiment is that royal sea cloud and others design a 3-cylindrical mirror conversion system according to Williamson's theorem, convert an anisotropic gaussian schel model light beam generated in advance by a spatial light modulator into a distorted gaussian schel model light beam, and if light with different parameters needs to be generated, adjust a corresponding light source and a corresponding conversion system. The principle of the mode superposition method is to generate a corresponding fundamental mode and carry out weighted superposition to obtain the twisted partially coherent light, and the mode can be divided into superposition methods such as an eigenmode, a pseudo mode, a random mode and the like according to the form of the fundamental mode. One experiment that is typical of comparison is the pseudo-modal stacking method experiment by Tian, which decomposes a distorted gaussian scherrer model beam into weighted stacked versions of the fundamental mode as the pseudo-mode. In the experiment, the spatial light modulator loads a corresponding hologram, a distorted Gaussian Sieve model light beam is obtained through superposition, and the random phase plays a role in eliminating unnecessary mode association. The method of pseudo mode superposition has an advantage in that a dynamic beam can be generated without changing an optical system, compared to the method of beam conversion.
The existing generation method of the twisted partially coherent light has the defects of time consumption, non-adjustability and the like, great limitation is brought to the generation of the light beam, and the actual use requirement of the twisted partially coherent light is difficult to meet, so that the method for quickly generating the dynamically adjustable twisted partially coherent light is very important.
Currently, a total of three experiments have been reported that produce a distorted partially coherent beam. The first two methods are based on Williamson's theorem, a proper variance matrix and a transmission matrix are designed in advance, and then a corresponding initial light field and a corresponding transmission system are generated through experiments to obtain a required light field; the third method is based on mode decomposition, and synthesizes a weight-containing fundamental mode to obtain a light field.
The first method is that Friberg, etc. firstly generates anisotropic Gaussian Sieve model light beam by an acousto-optic deflector and a filter system, then passes through an optical conversion system which is arranged at a designed special position and consists of 6 cylindrical mirrors, and finally converts the anisotropic Gaussian Sieve model light beam into a distorted Gaussian Sieve model light beam; then, the Wanghai cloud and the like carry out method improvement on the basis of the theory and the experiment, beam expanding collimated light is irradiated on a spatial light modulator loaded with a hologram, anisotropic Gassel mode light beams are directly generated, the generation effect is better, a 3-cylindrical lens system is designed to equivalently replace the original 6-cylindrical lens system, and finally, a strictly accurate twisted Gassel model light beam is generated in the experiment; the third method is that Tian et al decomposes the distorted Gaussian schell model light beam into a sampling superposition form containing weighted pseudo-modes, and reduces additional statistical association terms generated by the correlation among the modes by introducing random phases into each mode, and finally obtains an approximate distorted Gaussian schell model light beam through superposition.
In summary, in the two methods based on Williamson's theorem, a set of the initial light source and the optical conversion system can only generate the distorted partially coherent light with corresponding parameters, and does not meet the actual use requirement of generating dynamically adjustable light beams. The mode decomposition method requires a large number of holograms with random phases, and cannot generate the required pictures quickly.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a system and a method for rapidly generating dynamic distortion partially coherent light based on mode decomposition, which are simple and feasible, have few required modes and short time consumption for generating light beams.
In order to solve the above problems, the present invention provides a system for rapidly generating dynamically distorted partially coherent light based on mode decomposition, comprising:
a laser for generating laser light;
a first computer for decomposing the warped partially coherent light beam into a superimposed version of the weighted, orthonormal perfect eigen-fundamental mode; determining the mode of the required eigen-fundamental mode and the weight thereof according to the superposition form of the eigen-fundamental mode of the decomposition of the twisted partially coherent light, the specific parameter size of the twisted partially coherent light to be generated and the requirement of accuracy; loading a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator;
and the spatial light modulator is used for receiving the laser and modulating the laser to obtain the dynamically-twisted partially-coherent light.
As a further improvement of the present invention, an amplitude filtering system is included for filtering the dynamically twisted partially coherent light exiting the spatial light modulator to retain only the first diffraction order.
As a further improvement of the present invention, the amplitude filtering system is a 4f system, and includes a first lens, a diaphragm and a second lens, which are sequentially disposed, and the dynamically twisted partially coherent light emitted from the spatial light modulator sequentially passes through the first lens, the diaphragm and the second lens.
As a further development of the invention, in the dynamic hologram, the individual holograms of the individual eigenbase modes are arranged in sequence and the display time is proportional to the corresponding weight, the required eigenbase mode and the corresponding weight ratio being determined in accordance with the particular parameters of the distorted partially coherent light to be generated.
As a further improvement of the present invention, the system further comprises a charge coupled device CCD and a second computer, wherein the charge coupled device CCD is connected to the second computer, the charge coupled device CCD is used for receiving the dynamic distortion partial coherent light, and the second computer is used for calculating and verifying whether the dynamic distortion partial coherent light is consistent with theory or not.
As a further improvement of the present invention, the present invention further includes a beam expanding lens, disposed between the laser and the spatial light modulator, for converting laser light generated by the laser into beam expanded collimated light.
As a further improvement of the invention, the laser device further comprises a reflecting plane mirror, wherein the reflecting plane mirror is arranged between the laser device and the beam expanding mirror and is used for lengthening the optical path.
The invention also provides a method for rapidly generating dynamic distortion partially coherent light based on mode decomposition, which is applied to any one of the systems for rapidly generating dynamic distortion partially coherent light based on mode decomposition, and comprises the following steps:
s1, the first computer decomposing the distorted partially coherent light beam into a superimposed form of weighted orthonormal perfect eigen-fundamental modes;
s2, the first computer determines the required eigenmode and the weight of the eigenmode according to the superposition form of the eigenmode of the decomposition of the distorted partially coherent light, the specific parameter size of the distorted partially coherent light to be generated and the requirement of accuracy;
and S2, the spatial light modulator receives the laser generated by the laser, the first computer loads a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator, and the spatial light modulator is utilized to modulate the laser to obtain dynamic distortion partial coherent light.
As a further improvement of the present invention, step S1 includes:
s11, according to the mode decomposition theory and the cross spectrum density function construction method, the cross spectrum density of any light beam satisfying the non-negative positive nature can be expressed as the integral form of the non-negative weight function lambda (v) and the mode function phi (rho, v) to the parameter v:
W(ρ，ρ′)＝∫λ(v)Φ*(ρ，v)Φ(ρ′，v)d2v (1)
s12, regarding λ (v) as a group consisting of dirac functions with positive coefficients, namely:
the continuous integral form of equation (2) is represented as a discrete superposition form of the patterns:
where n represents the order of the mode, Φ (ρ, v)n) Is a mode function, λ (v)n) Is the corresponding weight function;
s13, the cross-spectral density of the twisted partially coherent light is expressed as:
W(ρ，ρ′)＝A exp[f(σ，δ，ρ，ρ′)-ikμ(ρ×ρ′)⊥] (4)
wherein σ, δ and μ represent the beam waist width, coherence length and distortion factor, respectively, and f (σ, δ, ρ, ρ') represents the specific correlation structure of the corresponding distorted partially coherent light;
s14, when f (sigma, delta, rho ') is determined, combining the formula (3) and the formula (4), determining a mode function phi (rho, v, rho') meeting the orthogonal completenessn) And its weighting function lambda (v)n) The eigenmode decomposition of the corresponding distorted partially coherent light is expressed as:
as a further improvement of the present invention, step S2 includes:
s21, giving a mode range;
s22, calculating the weight value of each eigen-basis mode in a given range according to the weight function determined in the formula (5), simultaneously normalizing to obtain normalized weight value distribution, and arranging the normalized weight value distribution from large to small as the priority of the selection mode;
s23, determining a standard of normalization weight value according to the precision requirement, combining with the priority determined in the previous step, selecting the eigen-basis mode of the normalization weight value on the standard, and determining the specific required eigen-basis mode and the weight thereof.
The invention has the beneficial effects that:
the system and the method for rapidly generating the dynamically distorted partially coherent light based on the mode decomposition select the mode based on the weight determined by the proportion, the number of the needed modes is small, and the time consumption for generating the light beam is short; dynamic regulation and control of the distorted partially coherent light beam can be realized only by changing the hologram loaded in the spatial light modulator; the modes are mutually orthogonal, and no additional cross terms are generated.
The foregoing description is only an overview of the technical solutions of the present invention, and in order to make the technical means of the present invention more clearly understood, the present invention may be implemented in accordance with the content of the description, and in order to make the above and other objects, features, and advantages of the present invention more clearly understood, the following preferred embodiments are described in detail with reference to the accompanying drawings.
Drawings
FIG. 1 is a first schematic diagram of a system for fast generation of dynamically distorted partially coherent light based on mode decomposition in a preferred embodiment of the present invention;
FIG. 2 is a second schematic diagram of a system for fast generation of dynamically distorted partially coherent light based on mode decomposition in a preferred embodiment of the present invention;
FIG. 3 is a graph of the intensity, coherence distribution and fit of dynamically distorted partially coherent light generated theoretically and experimentally by a system for rapidly generating dynamically distorted partially coherent light based on mode decomposition according to a preferred embodiment of the present invention;
FIG. 4 is a diagram of transmission rotation at different distances for dynamically distorted partially coherent light generated theoretically and experimentally by a system for rapidly generating dynamically distorted partially coherent light based on mode decomposition in a preferred embodiment of the present invention.
Description of the labeling: 1. a laser; 2. a reflective plane mirror; 3. a beam expander; 4. a spatial light modulator; 5. a first lens; 6. a diaphragm; 7. a second lens; 8. a Charge Coupled Device (CCD); 9. a first computer; 10. a second computer; 11. a cylindrical lens; 12. a third lens.
Detailed Description
The present invention is further described below in conjunction with the following figures and specific examples so that those skilled in the art may better understand the present invention and practice it, but the examples are not intended to limit the present invention.
As shown in fig. 1, a first schematic diagram of a system for rapidly generating dynamically-distorted partially-coherent light based on mode decomposition in a preferred embodiment of the present invention includes:
a laser 1 for generating laser light; optionally, the laser 1 is a helium-neon laser.
A first computer 9 for decomposing the warped partially coherent light beam into a superimposed version of the weighted, orthonormal, perfect eigen-fundamental mode; determining the mode of the required eigen-fundamental mode and the weight thereof according to the superposition form of the eigen-fundamental mode of the decomposition of the twisted partially coherent light, the specific parameter size of the twisted partially coherent light to be generated and the requirement of accuracy; loading a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator;
and the spatial light modulator 4(SLM) is used for receiving and modulating the laser light to obtain the dynamic distortion partially coherent light.
Further, an amplitude filtering system is included for filtering the dynamically twisted partially coherent light exiting the spatial light modulator to retain only the first diffraction order.
Specifically, the amplitude filtering system is a 4f system, and includes a first lens 5, a diaphragm 6, and a second lens 7 that are sequentially disposed, and the dynamically twisted partially coherent light emitted from the spatial light modulator 4 sequentially passes through the first lens 5, the diaphragm 6, and the second lens 7. The light beam passes through a 4f system to obtain an eigenmode light beam which is turned and translated, and the required twisted partially coherent light is obtained through superposition and synthesis.
In some embodiments, the system further comprises a beam expander 3, which is disposed between the laser 1 and the spatial light modulator 4, and is used for converting laser light generated by the laser 1 into expanded collimated light.
Optionally, the laser device further comprises a reflecting plane mirror 2, and the reflecting plane mirror 2 is arranged between the laser device 1 and the beam expanding mirror 3 and is used for lengthening the optical path.
In which individual holograms of the respective eigenmodes are ordered and the display time is proportional to the corresponding weight, the required eigenmodes and the corresponding weight ratios being determined according to the specific parameters of the distorted partially coherent light to be generated. Such as beam waist, coherence length, twist phase, etc.
In some embodiments, further comprising a charge coupled device CCD8 and a second computer 10, the charge coupled device CCD8 and the second computer 10 being connected, the charge coupled device CCD8 being configured to receive the dynamically distorted partially coherent light, the second computer 10 being configured to calculate and verify whether the dynamically distorted partially coherent light is theoretically consistent.
The preferred embodiment of the present invention further discloses a method for rapidly generating dynamic distorted partially coherent light based on mode decomposition, which is applied to the system for rapidly generating dynamic distorted partially coherent light based on mode decomposition, and comprises the following steps:
s1, the first computer decomposing the distorted partially coherent light beam into a superimposed form of weighted orthonormal perfect eigen-fundamental modes;
s2, the first computer determines the required eigenmode and the weight of the eigenmode according to the superposition form of the eigenmode of the decomposition of the distorted partially coherent light, the specific parameter size of the distorted partially coherent light to be generated and the requirement of accuracy;
and S2, the spatial light modulator receives the laser generated by the laser, the first computer loads a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator, and the spatial light modulator is utilized to modulate the laser to obtain dynamic distortion partial coherent light.
Further, step S1 includes:
s11, according to the mode decomposition theory and the cross spectrum density function construction method proposed by Gori et al, the Cross Spectrum Density (CSD) of any light beam satisfying the nonnegative positive qualitative can be expressed as the integral form of the nonnegative weight function lambda (v) and the mode function phi (rho, v) to the parameter v:
W(ρ,ρ′)＝∫λ(ν)Φ*(ρ,ν)Φ(ρ′,ν)d2v (1)
s12, regarding λ (v) as a group consisting of dirac functions with positive coefficients, that is:
the continuous integral form of equation (2) is represented as a discrete superposition form of the patterns:
wherein n represents the order of the mode, Φ (ρ, ν)n) Is a mode function, λ (v)n) Is the corresponding weight function;
s13, the cross-spectral density of the twisted partially coherent light is expressed as:
W(ρ,ρ′)＝Aexp[f(σ,δ,ρ,ρ′)-ikμ(ρ×ρ′)⊥] (4)
wherein σ, δ and μ represent the beam waist width, coherence length and distortion factor, respectively, and f (σ, δ, ρ, ρ') represents the specific correlation structure of the corresponding distorted partially coherent light;
s14, when f (sigma, delta, rho') is determined, combining the formula (3) and the formula (4), determining a mode function phi (rho, nu) meeting the orthogonal completenessn) And its weight function lambda (v)n) The eigenmode decomposition of the corresponding distorted partially coherent light is expressed as:
further, step S2 includes:
s21, giving a mode range; however, if the range of one pattern is set, and the intensity hardly changes as the range is extended, it can be considered that the desired pattern has been obtained.
S22, calculating the weight value of each eigen-basis mode in a given range according to the weight function determined in the formula (5), simultaneously normalizing to obtain normalized weight value distribution, and arranging the normalized weight value distribution from large to small as the priority of the selection mode; so that a smaller number of modes is required to produce a distorted partially coherent light of equal accuracy.
S23, determining a standard of normalization weight value according to the precision requirement, combining with the priority determined in the previous step, selecting the eigen-basis mode of the normalization weight value on the standard, and determining the specific required eigen-basis mode and the weight thereof.
Since the cross spectral density of the distorted partially coherent light beam can be expressed by the formula (5), the laser beam passes through the spatial light modulator 4 and simultaneously generates the eigen fundamental mode phi corresponding to the loaded hologramn *(ρ)Φn(ρ'), since its playing time is proportional to the weight, the CSD of the beam produced is, for the duration of the hologram of order n, the CSD of the beam
Other modes are the same, when the whole dynamic hologram is played for one round, the CSD of the resulting beam can be expressed as:
which is an approximation of the desired distorted partially coherent light beam.
If it is desired to generate a partially coherent beam of light with different parameters, such as beam waist width, coherence length, and distortion factor, dynamic generation of the partially coherent beam of light can be achieved by merely changing the loaded dynamic hologram without changing the optical system, as long as the desired mode and its weight are calculated. Meanwhile, the method can realize the adjustment of the precision of the generated distorted partially coherent light only by expanding or reducing the mode range (increasing or reducing the superposition mode). In addition, as the method selects the modes according to the weight in the orthogonal complete basis, the needed modes are few, the experiment generation is faster, and the method is only limited by the refreshing frequency of the SLM; and cross-correlation items between the pseudo mode and the random mode are not generated, and the light beams generated by the experiment are stable.
Fig. 2 is a schematic diagram of a system for rapidly generating dynamically distorted partially coherent light based on mode decomposition in a preferred embodiment of the present invention, which generates a distorted gaussian schel model (TGSM) beam based on an eigenmode decomposition form.
CSD analytical formula according to equation (6) above and the warped TGSM:
TGSM can be expressed as a weighted superposition of beams with eigenmodes of Laguerre Gauss, i.e.
where ξ, t, w are parameters jointly determined by σ, δ and μ, respectively:
and a is 1/(4 σ)2),b＝1/(2δ2),u＝kμ。
According to the equations (8), (9) and (10), the laguerre mode sets with different weights can be used for superposition to generate TGSM beams with different parameters, and we select the TGSM beam parameters to be generated as follows: sigma is 0.5mm, delta is 0.28mm, mu is 0.001mm-1. According to formula (9)
And (10) to obtain normalized eigenvalue spectra of each mode
A standard value of 0.01 was selected. The mode with the normalized eigenvalue larger than the standard is selected, the mode smaller than the standard is ignored, and the finally determined mode is as follows: the order n is 0, and the number of topological cores is-2-25; n is 1, m is 0-11, and the total number is 40.
Running a dynamic hologram by using Matlab according to the determined mode and the weight thereof, wherein each mode hologram in the dynamic hologram is 0 according to n, and m is-2-25; the dynamic hologram is loaded on the SLM (Selective laser modulation), the type of the used SLM is BQ-SLM1024, the number of pixels is 1024 multiplied by 768, the size of the pixels is 18 mu m multiplied by 18 mu m, expanded collimated light with the wavelength of 632nm is incident on the SLM in the graph 2, and after passing through an amplitude filtering system consisting of two lenses with the focal length of 15cm, Laguerre Gaussian mode light beams with different modes are generated on a focal plane behind the amplitude filtering system.
To verify that the experimentally generated beams were 0.5mm σ, 0.28mm δ, and 0.001mm μ-1The TGSM light beam receives the strength photos of Laguerre Gaussian light beams of each mode generated by experiments at the back focal plane of a 4f system by using a charge coupled device CCD8, and is used for verifying whether the beam waist width and the coherence length are consistent with the theoretical design; this embodiment is based on the above embodiment and adds a cylindrical lens 11 with a focal length of 15cm and a third lens 12 with a focal length of 20cm, and verifies the distortion factor according to the transmission rotation. The CCD model used was GS3-U3-28S5M-C, with pixels 1920X 1440 and a pixel size of 4.54 μm.
Wherein the beam waist width can be verified by the intensity of the beam, the theoretical intensity distribution is uniquely determined by the beam waist width according to equation (7):
according to equation (8), the experimental intensity distribution is a weighted superposition of the intensities of the respective modes, i.e. the superposition of the CCD reception photo intensities:
the coherence length can be represented by a weight spectrum, an intensity distribution of a plurality of photos, and an intensity of a certain point (a central point is selected), and the process is as follows:
from equation (7), the theoretical coherence distribution of the center point and other points can be uniquely determined by the coherence length:
and according to equation (8), the degree of coherence of the experimentally synthesized warped partially coherent beam can be expressed as:
since the eigenmodes are orthogonal to each other, it can be simplified as follows:
i.e. the coherence length can be represented by the weight spectrum, the intensity distribution and the intensity at the center point.
The twist phase is the only factor causing the transmission rotation of the light beam, so under the condition of a certain wavelength, the twist factor corresponds to the transmission rotation condition one by one, according to the tensor transmission law of the TGSM light beam, the theoretical transmission rotation condition of the TGSM light beam in the graph II is simulated by Matlab, and the theoretical transmission rotation condition is fitted with the experimental rotation result.
FIG. 3 is a graph of the intensity, coherence distribution and fit of dynamically distorted partially coherent light generated theoretically and experimentally by a system for rapidly generating dynamically distorted partially coherent light based on mode decomposition according to a preferred embodiment of the present invention; the first line and the second line are respectively intensity fitting and mode fitting of the coherence, and the beam waist width and coherence length of the light beam generated by the experiment are verified to be consistent with the theoretical design.
FIG. 4 is a diagram of transmission rotation at different distances for dynamically distorted partially coherent light generated theoretically and experimentally by a system for rapidly generating dynamically distorted partially coherent light based on mode decomposition in a preferred embodiment of the present invention. The first row and the second row are respectively theoretical and experimental results, and the fact that the distortion factor of the light beam generated by the experiment is consistent with the theoretical design is verified.
The above embodiments are merely preferred embodiments for fully illustrating the present invention, and the scope of the present invention is not limited thereto. The equivalent substitution or change made by the technical personnel in the technical field on the basis of the invention is all within the protection scope of the invention. The protection scope of the invention is subject to the claims.
Claims (10)
1. A system for rapidly generating dynamically distorted partially coherent light based on mode decomposition, comprising:
a laser for generating laser light;
a first computer for decomposing the warped partially coherent light beam into a superimposed version of the weighted, orthonormal perfect eigen-fundamental mode; determining the mode of the required eigen-fundamental mode and the weight thereof according to the superposition form of the eigen-fundamental mode of the decomposition of the twisted partially coherent light, the specific parameter size of the twisted partially coherent light to be generated and the requirement of accuracy; loading a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator;
and the spatial light modulator is used for receiving the laser and modulating the laser to obtain the dynamically-twisted partially-coherent light.
2. The system for rapidly generating dynamically distorted partially coherent light based on mode decomposition of claim 1, further comprising an amplitude filtering system for filtering the dynamically distorted partially coherent light exiting the spatial light modulator to retain only the first diffraction order.
3. The system for fast generation of dynamically distorted partially coherent light based on mode decomposition of claim 2, wherein the amplitude filtering system is a 4f system comprising a first lens, an aperture stop and a second lens arranged in sequence, and the dynamically distorted partially coherent light exiting from the spatial light modulator passes through the first lens, the aperture stop and the second lens in sequence.
4. The system for fast generation of dynamically distorted partially coherent light based on mode decomposition of claim 1, wherein in the dynamic holograms, the individual holograms of each eigen-fundamental mode are ordered and the display time is proportional to the corresponding weight, the required eigen-fundamental mode and the corresponding weight ratio being determined according to the specific parameters of the distorted partially coherent light to be generated.
5. The system for fast generation of dynamically distorted partially coherent light based on mode decomposition of claim 1, further comprising a Charge Coupled Device (CCD) and a second computer, wherein the CCD is connected to the second computer, the CCD is used for receiving the dynamically distorted partially coherent light, and the second computer is used for calculating and verifying whether the dynamically distorted partially coherent light is consistent with theory.
6. The system for rapidly generating dynamically twisted partially coherent light based on mode decomposition of claim 1, further comprising a beam expander disposed between said laser and spatial light modulator for converting laser light generated by said laser into expanded collimated light.
7. The system for rapidly generating dynamically distorted partially coherent light based on mode decomposition of claim 6, further comprising a reflecting plane mirror disposed between the laser and the beam expander for lengthening the optical path.
8. The method for rapidly generating dynamically-distorted partially-coherent light based on mode decomposition is applied to the system for rapidly generating dynamically-distorted partially-coherent light based on mode decomposition as claimed in any one of claims 1 to 7, and comprises the following steps:
s1, the first computer decomposing the distorted partially coherent light beam into a superimposed form of weighted orthonormal perfect eigen-fundamental modes;
s2, the first computer determines the required eigenmode and the weight of the eigenmode according to the superposition form of the eigenmode of the decomposition of the distorted partially coherent light, the specific parameter size of the distorted partially coherent light to be generated and the requirement of accuracy;
and S2, the spatial light modulator receives the laser generated by the laser, the first computer loads a dynamic hologram comprising each intrinsic fundamental mode to the spatial light modulator, and the spatial light modulator is utilized to modulate the laser to obtain dynamic distortion partial coherent light.
9. The method for fast generation of dynamically-distorted partially-coherent light based on mode decomposition of claim 8, wherein step S1 comprises:
s11, according to the mode decomposition theory and the cross spectrum density function construction method, the cross spectrum density of any light beam meeting the non-negative positive qualitative requirements can be expressed as the integral form of the non-negative weight function lambda (v) and the mode function phi (rho, v) to the parameter v:
W(ρ,ρ′)＝∫λ(ν)Φ*(ρ,ν)Φ(ρ′,ν)d2v (1)
s12, regarding λ (v) as a group consisting of dirac functions with positive coefficients, that is:
the continuous integral form of equation (2) is represented as a discrete superposition form of the patterns:
wherein n represents the order of the mode, Φ (ρ, ν)n) Is a mode function, λ (v)n) Is the corresponding weight function;
s13, the cross-spectral density of the twisted partially coherent light is expressed as:
W(ρ,ρ′)＝Aexp[f(σ,δ,ρ,ρ′)-ikμ(ρ×ρ′)⊥] (4)
wherein σ, δ and μ represent the beam waist width, coherence length and distortion factor, respectively, and f (σ, δ, ρ, ρ') represents the specific correlation structure of the corresponding distorted partially coherent light;
s14, when f (sigma, delta, rho') is determined, combining the formula (3) and the formula (4), determining a mode function phi (rho, nu) meeting the orthogonal completenessn) And its weight function lambda (v)n) Will correspond to the twisted portionCoherent light undergoes eigenmode decomposition, represented as:
10. the method for fast generation of dynamically-distorted partially-coherent light based on mode decomposition of claim 9, wherein step S2 comprises:
s21, giving a mode range;
s22, calculating the weight value of each eigen-basis mode in a given range according to the weight function determined in the formula (5), simultaneously normalizing to obtain normalized weight value distribution, and arranging the normalized weight value distribution from large to small as the priority of the selection mode;
s23, determining a standard of normalization weight value according to the precision requirement, combining with the priority determined in the previous step, selecting the eigen-basis mode of the normalization weight value on the standard, and determining the specific required eigen-basis mode and the weight thereof.
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| CN113985604B (en) | 2022-12-27 |
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