CN116184433A - Array vortex light quantum regulation and emission method and system based on orbital angular momentum distribution compensation - Google Patents

Array vortex light quantum regulation and emission method and system based on orbital angular momentum distribution compensation Download PDF

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CN116184433A
CN116184433A CN202310210438.1A CN202310210438A CN116184433A CN 116184433 A CN116184433 A CN 116184433A CN 202310210438 A CN202310210438 A CN 202310210438A CN 116184433 A CN116184433 A CN 116184433A
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phase
vortex
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张子静
崔成帅
赵远
岑龙柱
黄明维
李家欢
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Harbin Institute of Technology
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Abstract

The invention discloses an array vortex light quantum regulation and emission method and system based on orbital angular momentum distribution compensation, belongs to the technical field of laser radars, and aims to solve the problem that the imaging precision of the existing array vortex light beam is low in a complex environment. The method comprises the following steps: s1, transmitting incident laser to a spatial light modulator screen according to a preset array distribution shape by using a beam splitter, loading a preset phase hologram on the spatial light modulator, and obtaining array vortex beams with different orbital angular momentum distributions; s2, the array vortex beam is subjected to atmospheric turbulence simulation to obtain a distorted array vortex beam, and an array compensation phase distribution is obtained by adopting a phase recovery algorithm according to the light intensity distribution of the original array vortex beam and the light intensity distribution of the distorted array vortex beam; s3, loading the array type compensation phase distribution obtained in the step S2 into a compensation phase screen, correcting the distorted array vortex beam, and transmitting the corrected distorted array vortex beam to a target for imaging. The invention is used for reducing crosstalk between sub-beams.

Description

Array vortex light quantum regulation and emission method and system based on orbital angular momentum distribution compensation
Technical Field
The invention relates to a sub-regulation and control technology for reducing crosstalk between sub-beams and improving the capability of resisting complex environments by adopting a compensation method, belonging to the technical field of laser radars.
Background
The array vortex beam imaging is a novel imaging system, combines two technologies of array laser and vortex beam, so that the array vortex beam imaging has the ultra-fast imaging performance of the array laser, the imaging efficiency can be greatly improved, and as the vortex beam is an annular beam with spiral wave fronts, each photon carries orbital angular momentum, and the array vortex beam also has the dimension of the orbital angular momentum. However, under the condition of higher complex environment, the atmospheric turbulence randomly perturbs, so that the refractive index in the space randomly changes, the array vortex beam imaging is influenced by the atmospheric complex environment, and the phenomena of beam broadening, crosstalk among all sub beams, light intensity, phase distortion and the like appear, so that the imaging is greatly influenced. This requires a certain compensation method to reduce the crosstalk between the individual sub-beams and to increase the resistance against complex environments.
Disclosure of Invention
Aiming at the problems that the existing array vortex light beam is easy to have light beam broadening, crosstalk among sub light beams, light intensity and phase distortion and further influence imaging precision in a complex environment, the invention provides an array vortex light quantum regulation and emission method and system based on orbital angular momentum distribution compensation.
The invention relates to an array vortex light quantum regulation and emission method based on orbital angular momentum distribution compensation, which comprises the following steps:
s1, transmitting incident laser to a spatial light modulator screen according to a preset array distribution shape by using a beam splitter, loading a preset phase hologram on the spatial light modulator, and obtaining array vortex beams with different orbital angular momentum distributions, wherein the phase of each sub-beam of the array vortex beam is different, and the topological charge number of each sub-beam is further different;
s2, the array vortex beam obtained in the step S1 is subjected to atmospheric turbulence simulation to obtain a distorted array vortex beam, and an array compensation phase distribution is obtained by adopting a phase recovery algorithm according to the light intensity distribution of the original array vortex beam and the light intensity distribution of the distorted array vortex beam;
s3, loading the array type compensation phase distribution obtained in the step S2 into a compensation phase screen, correcting the distorted array vortex beam, and transmitting the corrected distorted array vortex beam to a target for imaging.
Preferably, the preset array distribution shape is a honeycomb shape or a rectangular shape, the honeycomb array is a regular hexagon array, and the rectangular array is an MXN array.
Preferably, the beam splitter outputs a plurality of light beams as array sub-beams, the array sub-beams are respectively beaten on a spatial light modulator screen at positions corresponding to elements of a preset array, and the phase of each sub-beam of the array is modulated by loading a preset phase hologram, so that the phases of the sub-beams are different, and the array vortex light beams with different orbital angular momentum distributions are obtained.
Preferably, when the preset array distribution shape is rectangular, the light intensity distribution of the array vortex light beams is:
Figure BDA0004112460400000021
Figure BDA0004112460400000022
Figure BDA0004112460400000023
wherein: m, N is the number of sub-beams in each row and each column in the rectangular array vortex beam,
m and n are row serial numbers and column serial numbers of rectangular array vortex beams respectively;
dx and dy are the intervals between adjacent sub-beams in the transverse direction and the longitudinal direction respectively;
x and y are coordinates in a rectangular coordinate system;
l is the topological charge number, w (z) is the beam waist radius, k is the wave number,
Figure BDA0004112460400000024
for associating Laguerre polynomials, z is the distance the beam travels in the propagation direction, z R For the rayleigh distance, i is an imaginary unit.
Preferably, when the preset array distribution shape is honeycomb, the light intensity distribution of the array vortex light beams is:
Figure BDA0004112460400000025
Figure BDA0004112460400000026
Figure BDA0004112460400000027
the honeycomb regular hexagonal structure is obtained by equally dividing a circle into 6 points, wherein R is the radius of the circle, alpha 0 The connection line between the circle center and the 6 points equally divides the regular hexagon structure into six triangles, and h is the serial number of the triangle;
l is topological charge number, w (z) is beam waist radius, k is wave number, z is distance of light beam transmission along propagation direction, z R For the rayleigh distance, i is an imaginary unit;
dx and dy are the intervals between adjacent sub-beams in the transverse direction and the longitudinal direction respectively;
and x and y are coordinates in a rectangular coordinate system.
Preferably, the process of correcting the distorted array vortex beam by adopting a phase recovery algorithm is as follows:
step 1, selecting an amplitude spectrum E of an ideal light field without wave front distortion 1 (x, y) selecting an ideal spiral phase as the amplitude of the input light field
Figure BDA0004112460400000031
As initial random phase, the diffraction calculated input light field is +.>
Figure BDA0004112460400000032
Step 2, light field
Figure BDA0004112460400000033
Performing diffraction transmission calculation to obtain a transform domain amplitude spectrum A (k x ,k y ) And phase spectrum phi (k) x ,k y )；
Step 3, using distorted vortex beam amplitude spectrum E 2 (x, y) substitution A (k) x ,k y ) Obtaining a new optical field complex amplitude E 2 (x,y)exp(iΦ(k x ,k y ))；
Step 4, the light field E 2 (x,y)exp(iΦ(k x ,k y ) Diffraction inverse operation is carried out to obtain a spatial domain amplitude spectrum a (x, y) and a phase spectrum H (x, y);
step 5, using the amplitude spectrum E of the initial ideal light field 1 (x, y) replacing a (x, y) to obtain an initial light field expression E of the next loop iteration 1 (x, y) exp (iH (x, y)) and when the iteration condition is met or the defined number of loop iterations is reached, calculating to terminate, and obtaining a reconstructed vortex beam distortion phase H (x, y);
step 6, obtaining the distortion phase of the atmospheric turbulence as
Figure BDA0004112460400000034
The distorted phase is an array type compensation phase distribution;
and 7, transforming and loading the obtained distorted phase to a compensation phase screen to realize correction of the distorted array vortex beam.
The invention also provides another technical scheme, an array vortex light quantum regulation and control emission system based on orbital angular momentum distribution compensation, which is used for the method, wherein the emission system comprises a laser 1, a multi-path optical fiber 2, a polarization controller 3, a first collimator 4, a polarizer 5, a beam splitter 6, a spatial light modulator 7, an atmospheric turbulence phase screen 8, an area array detector 9, a computer 10, a compensation phase screen 11 and a second collimator 12;
the light beams generated by the laser 1 are transmitted through different branches of the multipath optical fibers 2, the multipath light beams are regulated and controlled by the polarization controller 3, the first collimator 4 and the polarizer 6, vortex light beams distributed at different spatial positions are obtained after the multipath light beams pass through the beam splitter 6, the vortex light beams are beaten to corresponding positions of the spatial light modulator 7 according to a preset array shape to form array vortex light beams, the phases of any sub-light beams in the array vortex light beams are modulated through preset phase holograms, and sub-light beams with different topological charges are obtained by regulating the preset phase hologram distribution on the spatial light modulator;
the array vortex beam is emitted out through a second collimator 12;
the atmospheric turbulence phase screen 8 is obtained by a power spectrum inversion method, the array vortex beam is subjected to the influence of atmospheric turbulence simulated by the atmospheric turbulence phase screen 8, the distorted array vortex beam after the atmospheric turbulence is obtained by the area array detector 9, and then the corrected phase is loaded on the compensation phase screen 11 by the computer 10 through a phase recovery algorithm, so that the array vortex beam is corrected. The corrected beam is directed 15 onto the target module.
The invention has the beneficial effects that: the invention provides a quantum regulation emission method, which is characterized in that the topological charge number of each sub-beam in an array vortex beam and the arrangement modes of different array vortex beams are changed, and then the beams after being distorted by atmospheric turbulence are corrected by combining a phase recovery algorithm, so that the crosstalk among the sub-beams is reduced, and the anti-interference capability of the array vortex beams is effectively improved. Then, the array vortex beam is utilized to image the target, so that the imaging capability in a complex environment is enhanced, and the imaging precision is improved.
According to orthogonality among vortex beams with different topological charges, crosstalk among sub-beams is reduced by regulating and controlling different topological charges among adjacent sub-beams, and crosstalk is further reduced by regulating and controlling different arrangement modes of vortex beams of an array and a phase recovery algorithm.
The arrangement modes of vortex beams of different arrays can be obtained by modifying the distribution of phase holograms on the spatial light modulator, different orbital angular momentum distribution is realized by changing the topological charge numbers of different positions, the crosstalk between all sub-beams is reduced, and the capability of resisting complex environments is enhanced. The distorted array vortex beam is further corrected through a phase recovery algorithm, and the resistance is further improved.
Drawings
FIG. 1 is a block diagram of an array vortex light quantum regulation and control emission system based on orbital angular momentum distribution compensation according to the invention;
FIG. 2 is a schematic illustration of the intensity distribution of a rectangular array of vortex beams;
fig. 3 is a schematic diagram of the intensity distribution of a vortex beam of a honeycomb array.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
It should be noted that, without conflict, the embodiments of the present invention and features of the embodiments may be combined with each other.
The invention is further described below with reference to the drawings and specific examples, which are not intended to be limiting.
The first embodiment is as follows: in the following description of the present embodiment with reference to fig. 1 to 3, the method for modulating and emitting array vortex light quanta based on the compensation of the distribution of orbital angular momentum according to the present embodiment is that the schematic diagram of the intensity distribution of the rectangular array vortex light beam and the schematic diagram of the intensity distribution of the honeycomb array vortex light beam are shown in fig. 2 and 3, respectively, and the optimal distribution of orbital angular momentum against the complex environment of the atmosphere can be obtained by modifying the topological charges at different positions. The phase is then corrected further by a phase recovery algorithm, the general procedure of the compensation process being: the phase holograms of the designed array vortex beam arrangement mode are loaded into a spatial light modulator through calculation, the distribution position of an incident laser array is adjusted through a beam splitter, then the topological charge number of each sub-beam is adjusted through adjusting the hologram distribution at each position, and different orbital angular momentum distribution is obtained. According to the light field intensity distribution of the incident light beam and the distorted light beam, a phase recovery algorithm is used for obtaining corrected phase distribution, and the corrected phase distribution is loaded into a compensation phase screen, so that the distorted array vortex light beam correction is realized.
Specifically, the method of the present embodiment includes the following steps:
s1, transmitting incident laser to a spatial light modulator screen according to a preset array distribution shape by using a beam splitter, loading a preset phase hologram on the spatial light modulator, and obtaining array vortex beams with different orbital angular momentum distributions, wherein the phase of each sub-beam of the array vortex beam is different, and the topological charge number of each sub-beam is further different;
s2, the array vortex beam obtained in the step S1 is subjected to atmospheric turbulence simulation to obtain a distorted array vortex beam, and an array compensation phase distribution is obtained by adopting a phase recovery algorithm according to the light intensity distribution of the original array vortex beam and the light intensity distribution of the distorted array vortex beam;
s3, loading the array type compensation phase distribution obtained in the step S2 into a compensation phase screen, correcting the distorted array vortex beam, and transmitting the corrected distorted array vortex beam to a target for imaging.
The preset array distribution shape is honeycomb or rectangular, the honeycomb array is regular hexagon array, and the rectangular array is M multiplied by N array. The ability of the rectangular array vortex beam and the honeycomb array vortex beam in detecting imaging is different, the honeycomb array vortex beam can quickly detect a large area, and the rectangular array vortex beam can capture finer details in a scene. The selection may be made according to different requirements.
The beam splitter outputs a plurality of light beams as array sub-beams which are respectively beaten on the screen of the spatial light modulator at positions corresponding to elements of a preset array, and the phase of each sub-beam of the array is modulated by loading a preset phase hologram, so that the phases of the sub-beams are different, and the array vortex light beams with different orbital angular momentum distributions are obtained. The beam splitter can control different incident lasers to be transmitted to different positions on the screen of the spatial light modulator, and then different phase holograms are arranged at corresponding positions of the spatial light modulator, so that different topological charge numbers are arranged at each position. The topological charge numbers are different in order to reduce crosstalk between the individual sub-beams under the influence of complex environments.
The representation of the array vortex beam of the present embodiment is divided into two types, one is a rectangular array vortex beam and the other is a honeycomb array vortex beam, first, according to the light field expression of a single lagrangian beam:
Figure BDA0004112460400000061
Figure BDA0004112460400000062
wherein l is topological charge number, p is radial index and represents the number of rings of each vortex beam, w (z) is beam waist radius, k is wave number, r, phi and z are coordinates in a cylindrical coordinate system, and the radius, the included angle and the transmission distance of the beam along the transmission direction are respectively represented;
Figure BDA0004112460400000063
to associate Laguerre polynomials, z R Is the rayleigh range.
i is imaginary unit i 2 ＝-1。
When the radial index p=0, the expression becomes:
Figure BDA0004112460400000064
the expression is unfolded according to the Euler formula, and the light field expression of two types of array vortex light beams with different shapes is given.
When the preset array distribution shape is rectangular, the light intensity distribution of the array vortex light beams is as follows:
Figure BDA0004112460400000065
wherein: m, N is the number of sub-beams in each row and each column in the rectangular array vortex beam,
m and n are row serial numbers and column serial numbers of rectangular array vortex beams respectively;
dx and dy are the intervals between adjacent sub-beams in the transverse direction and the longitudinal direction respectively;
and x and y are coordinates in a rectangular coordinate system.
When the preset array distribution shape is honeycomb, the light intensity distribution of the array vortex light beams is as follows:
Figure BDA0004112460400000071
the honeycomb regular hexagonal structure is obtained by equally dividing a circle into 6 points, wherein R is the radius of the circle, alpha 0 For the angle of the connecting line of two adjacent points and the circle center, the connecting line of the circle center and 6 points equally divides the regular hexagon structure into six triangles, and h is the serial number of the triangle.
The array vortex beam with a honeycomb shape can be designed through the combination of the regular hexagon structure and the array structure.
According to the embodiment, multiple paths of light beams are output according to the two types of array adjusting beam splitters, the multiple paths of light beams are respectively beaten at different positions of the spatial light modulator, the sub-beams at each position are given different phases through loading the preset phase holograms, namely, the phases of the sub-beams are different, the topological charge numbers of the sub-beams are further different, the orthogonality among the vortex light beams with different topological charge numbers is utilized to reduce crosstalk among the sub-beams, and the crosstalk is further reduced through adjusting and controlling different arrangement modes and phase recovery algorithms of the vortex light beams of the array. The phase recovery algorithm obtains a compensation phase by deducing the phase distribution through the distribution of the incident light intensity and the distorted light intensity by using the GS phase recovery algorithm. The process of correcting the distorted array vortex beam by adopting a phase recovery algorithm comprises the following steps:
step 1, selecting an amplitude spectrum E of an ideal light field without wave front distortion 1 (x, y) selecting an ideal spiral phase as the amplitude of the input light field
Figure BDA0004112460400000072
As initial random phase, the diffraction calculated input light field is +.>
Figure BDA0004112460400000073
Step 2, light field
Figure BDA0004112460400000074
Performing diffraction transmission calculation to obtain a transform domain amplitude spectrum A (k x ,k y ) And phase spectrum phi (k) x ,k y )；
Step 3, using distorted vortex beam amplitude spectrum E 2 (x, y) substitution A (k) x ,k y ) Obtaining a new optical field complex amplitude E 2 (x,y)exp(iΦ(k x ,k y ))；
Step 4, the light field E 2 (x,y)exp(iΦ(k x ,k y ) Diffraction inverse operation is carried out to obtain a spatial domain amplitude spectrum a (x, y) and a phase spectrum H (x, y);
step 5, using the amplitude spectrum E of the initial ideal light field 1 (x, y) replacing a (x, y) to obtain an initial light field expression E of the next loop iteration 1 (x, y) exp (iH (x, y)) and when the iteration condition is met or the defined number of loop iterations is reached, calculating to terminate, and obtaining a reconstructed vortex beam distortion phase H (x, y);
step 6, obtaining the distortion phase of the atmospheric turbulence as
Figure BDA0004112460400000081
The distorted phase is an array type compensation phase componentCloth;
and 7, transforming and loading the obtained distorted phase to a compensation phase screen to realize correction of the distorted array vortex beam.
Therefore, the arrangement modes of vortex beams of different arrays can be obtained by modifying the distribution of phase holograms on the spatial light modulator, different orbital angular momentum distribution is realized by changing the topological charge numbers of different positions, the crosstalk between all sub-beams is reduced, and the capability of resisting complex environments is enhanced. The distorted array vortex beam is further corrected through a phase recovery algorithm, and the resistance is further improved.
A second embodiment of the present invention is described with reference to fig. 1 to 3, where the system for controlling and emitting array vortex light quanta based on orbital angular momentum distribution compensation according to the first embodiment is used in the method of the first embodiment, and the emitting system includes a laser 1, a multiplexing optical fiber 2, a polarization controller 3, a first collimator 4, a polarizer 5, a beam splitter 6, a spatial light modulator 7, an atmospheric turbulence phase screen 8, an area array detector 9, a computer 10, a compensation phase screen 11, and a second collimator 12;
the light beams generated by the laser 1 are transmitted through different branches of the multipath optical fibers 2, the multipath light beams are regulated and controlled by the polarization controller 3, the first collimator 4 and the polarizer 6, vortex light beams distributed at different spatial positions are obtained after the multipath light beams pass through the beam splitter 6, the vortex light beams are beaten to corresponding positions of the spatial light modulator 7 according to a preset array shape to form array vortex light beams, the phases of any sub-light beams in the array vortex light beams are modulated through preset phase holograms, and sub-light beams with different topological charges are obtained by regulating the preset phase hologram distribution on the spatial light modulator;
the array vortex beam is emitted out through a second collimator 12;
the atmospheric turbulence phase screen 8 is obtained by a power spectrum inversion method, the array vortex beam is subjected to the influence of atmospheric turbulence simulated by the atmospheric turbulence phase screen 8, the distorted array vortex beam after the atmospheric turbulence is obtained by the area array detector 9, and then the corrected phase is loaded on the compensation phase screen 11 by the computer 10 through a phase recovery algorithm, so that the array vortex beam is corrected. The corrected beam is directed 15 onto the target module. The light beam is collected into a CCD camera 14 through a receiving optical system 13 after being reflected by the target, and an image of the target is obtained by the computer 10.
The atmospheric turbulence phase screen 8 is used for simulating the atmospheric turbulence, the optical field of the array vortex beam can be distorted after passing through the atmospheric turbulence phase screen 8, and the optical field light intensity distribution of the distorted beam is obtained. The original light intensity of the array vortex beam and the distorted light intensity of the array vortex beam are applied to a phase recovery algorithm, a required phase is obtained through continuous diffraction iteration of the phase recovery algorithm, and the phase is loaded into a compensation phase screen 11 to realize the correction of the light beam.
Although the invention herein has been described with reference to particular embodiments, it is to be understood that these embodiments are merely illustrative of the principles and applications of the present invention. It is therefore to be understood that numerous modifications may be made to the illustrative embodiments and that other arrangements may be devised without departing from the spirit and scope of the present invention as defined by the appended claims. It should be understood that the different dependent claims and the features described herein may be combined in ways other than as described in the original claims. It is also to be understood that features described in connection with separate embodiments may be used in other described embodiments.

Claims (7)

1. The array vortex light quantum regulation and emission method based on the orbital angular momentum distribution compensation is characterized by comprising the following steps of:
s1, transmitting incident laser to a spatial light modulator screen according to a preset array distribution shape by using a beam splitter, loading a preset phase hologram on the spatial light modulator, and obtaining array vortex beams with different orbital angular momentum distributions, wherein the phase of each sub-beam of the array vortex beam is different, and the topological charge number of each sub-beam is further different;
s2, the array vortex beam obtained in the step S1 is subjected to atmospheric turbulence simulation to obtain a distorted array vortex beam, and an array compensation phase distribution is obtained by adopting a phase recovery algorithm according to the light intensity distribution of the original array vortex beam and the light intensity distribution of the distorted array vortex beam;
s3, loading the array type compensation phase distribution obtained in the step S2 into a compensation phase screen, correcting the distorted array vortex beam, and transmitting the corrected distorted array vortex beam to a target for imaging.
2. The method for modulating and emitting array vortex light quanta based on orbital angular momentum distribution compensation according to claim 1, wherein the preset array distribution shape is a honeycomb shape or a rectangular shape, the honeycomb array is a regular hexagon array, and the rectangular array is an M x N array.
3. The method for modulating and emitting array vortex light quanta based on orbital angular momentum distribution compensation according to claim 2, wherein the beam splitter outputs a plurality of light beams as array sub-beams, the array sub-beams are respectively hit on a spatial light modulator screen at positions corresponding to elements of a preset array, and the phase of each sub-beam of the array is modulated by loading a preset phase hologram, so that the phases of the sub-beams are different, and the array vortex light beams with different orbital angular momentum distributions are obtained.
4. The method for modulating and emitting array vortex light quanta based on orbital angular momentum distribution compensation according to claim 2, wherein when the preset array distribution shape is rectangular, the light intensity distribution of the array vortex light beams is:
Figure FDA0004112460390000011
Figure FDA0004112460390000012
Figure FDA0004112460390000013
wherein: m, N is the number of sub-beams in each row and each column in the rectangular array vortex beam,
m and n are row serial numbers and column serial numbers of rectangular array vortex beams respectively;
dx and dy are the intervals between adjacent sub-beams in the transverse direction and the longitudinal direction respectively;
x and y are coordinates in a rectangular coordinate system;
l is the topological charge number, w (z) is the beam waist radius, k is the wave number,
Figure FDA0004112460390000021
for associating Laguerre polynomials, z is the distance the beam travels in the propagation direction, z R For the rayleigh distance, i is an imaginary unit.
5. The method for modulating and emitting array vortex light quanta based on orbital angular momentum distribution compensation according to claim 2, wherein when the preset array distribution shape is honeycomb, the light intensity distribution of the array vortex light beams is:
Figure FDA0004112460390000022
/>
Figure FDA0004112460390000023
Figure FDA0004112460390000024
the honeycomb regular hexagonal structure is obtained by equally dividing a circle into 6 points, wherein R is the radius of the circle, alpha 0 The connection line between the circle center and the 6 points equally divides the regular hexagon structure into six triangles, and h is the serial number of the triangle;
l is topological loadThe number w (z) is the beam waist radius, k is the wave number, z is the distance of the beam in the propagation direction, z R For the rayleigh distance, i is an imaginary unit;
dx and dy are the intervals between adjacent sub-beams in the transverse direction and the longitudinal direction respectively;
and x and y are coordinates in a rectangular coordinate system.
6. The method for modulating and transmitting array vortex light quanta based on orbital angular momentum distribution compensation according to claim 5, wherein the process of correcting the distorted array vortex light quanta by adopting a phase recovery algorithm is as follows:
step 1, selecting an amplitude spectrum E of an ideal light field without wave front distortion 1 (x, y) selecting an ideal spiral phase as the amplitude of the input light field
Figure FDA0004112460390000025
As initial random phase, the diffraction calculated input light field is +.>
Figure FDA0004112460390000026
Step 2, light field
Figure FDA0004112460390000027
Performing diffraction transmission calculation to obtain a transform domain amplitude spectrum A (k x ,k y ) And phase spectrum phi (k) x ,k y )；
Step 3, using distorted vortex beam amplitude spectrum E 2 (x, y) substitution A (k) x ,k y ) Obtaining a new optical field complex amplitude E 2 (x,y)exp(iΦ(k x ,k y ))；
Step 4, the light field E 2 (x,y)exp(iΦ(k x ,k y ) Diffraction inverse operation is carried out to obtain a spatial domain amplitude spectrum a (x, y) and a phase spectrum H (x, y);
step 5, using the amplitude spectrum E of the initial ideal light field 1 (x, y) replacing a (x, y) to obtain an initial light field expression E of the next loop iteration 1 (x, y) exp (iH (x, y)) satisfying the iteration condition or arrivalWhen the defined number of loop iterations is reached, calculating and stopping to obtain a reconstructed vortex beam distortion phase H (x, y);
step 6, obtaining the distortion phase of the atmospheric turbulence as
Figure FDA0004112460390000031
The distorted phase is an array type compensation phase distribution;
and 7, transforming and loading the obtained distorted phase to a compensation phase screen to realize correction of the distorted array vortex beam.
7. An array vortex light quantum regulation and control emission system based on orbital angular momentum distribution compensation, which is used for realizing the method of any one of claims 1 to 6, and is characterized in that the emission system comprises a laser (1), a multiplexing optical fiber (2), a polarization controller (3), a first collimator (4), a polarizer (5), a beam splitter (6), a spatial light modulator (7), an atmospheric turbulence phase screen (8), an area array detector (9), a computer (10), a compensation phase screen (11) and a second collimator (12);
the method comprises the steps that light beams generated by a laser (1) are transmitted through different branches of a multi-path optical fiber (2), a polarization controller (3), a first collimator (4) and a polarizer (6) are utilized to regulate and control the multi-path light beams, vortex light beams distributed at different space positions are obtained after the multi-path light beams pass through the beam splitter (6), the vortex light beams are beaten to corresponding positions of a spatial light modulator (7) according to a preset array shape to form array vortex light beams, phases of any sub-light beams in the array vortex light beams are modulated through preset phase holograms, and sub-light beams with different topological charge numbers are obtained by regulating the distribution of preset phase holograms on the spatial light modulator;
the array vortex beam is emitted out through a second collimator (12);
the method comprises the steps of obtaining an atmospheric turbulence phase screen (8) by a power spectrum inversion method, obtaining a distorted array vortex beam after atmospheric turbulence by using an area array detector (9) through the influence of the atmospheric turbulence simulated by the array vortex beam through the atmospheric turbulence phase screen (8), and then obtaining a corrected phase by using a computer (10) through a phase recovery algorithm, loading the corrected phase onto a compensation phase screen (11), and correcting the array vortex beam. The corrected beam is directed to a target module (15).
CN202310210438.1A 2023-03-07 2023-03-07 Array vortex light quantum regulation and emission method and system based on orbital angular momentum distribution compensation Pending CN116184433A (en)

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