CN105043543B - A kind of manufacture method of the super Rayleigh speckle field of controllable - Google Patents

A kind of manufacture method of the super Rayleigh speckle field of controllable Download PDF

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CN105043543B
CN105043543B CN201510536791.4A CN201510536791A CN105043543B CN 105043543 B CN105043543 B CN 105043543B CN 201510536791 A CN201510536791 A CN 201510536791A CN 105043543 B CN105043543 B CN 105043543B
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speckle
computer
super
rayleigh
light beam
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CN105043543A (en
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李新忠
台玉萍
李贺贺
王静鸽
甄志强
田晓敏
周洋
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Henan University of Science and Technology
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Abstract

A kind of manufacture method of the super Rayleigh speckle field of controllable, including a continuous-wave laser, computer I and computer II, adjustable laser attenuator is sequentially provided with continuous-wave laser light beam direction of advance, pinhole filter, lens, polarizer I and beam splitter, beam splitter is located in two other different light beam direction of advance, one of light beam direction of advance is provided with reflective spatial light modulator, another light beam direction of advance is provided with analyzer I, diaphragm I, polarizer II, transmissive spatial photomodulator, analyzer II, diaphragm II, fourier lense, CCD camera;Wherein, reflective spatial light modulator and CCD camera are connected with computer I;Transmissive spatial photomodulator is connected with computer II.The present invention is by changing exponential factorSWith angular indexmNumerical value, obtain the super Rayleigh speckle field of target, so as to obtain the regulatable super Rayleigh speckle field of speckle size, contrast value.

Description

A kind of manufacture method of the super Rayleigh speckle field of controllable
Technical field
The present invention relates to optic test and microscopic applications technical field, and in particular to a kind of super Rayleigh speckle field of controllable Manufacture method.
Background technology
When coherent light is irradiated on scattering medium, light and dark graininess speckle can be produced in transmitted field or mirror field Pattern;The generation of speckle is coherent to form by the scattering Wavelet space of microscopic scatterers.If the surface undulation of scattering medium is more than Lambda1-wavelength, the intensity distributions of speckle light field meet Rayleigh statistics, and now the light intensity of speckle field defers to negative e index distribution;It is right For Rayleigh speckle field, the contrast value of its speckle pattern is 1.
Many basic research and application require that the statistical property of speckle field and light distribution freely can regulate and control, and these dissipate The light intensity statistical property of speckle field does not comply with Rayleigh statistical distribution.1 is also less than more than 1 according to contrast value, non-rayleigh is united Meter speckle is divided into super Rayleigh speckle and Ya Ruili speckles;In non-rayleigh statistics speckle field, Ya Ruili of the contrast value less than 1 dissipates Speckle field is substantially partial dispersion speckle field, and comparatively this speckle field is easier to realize, and contrast value is super more than 1 The generation of Rayleigh speckle field is a difficult problem.
Additionally, in speckle illumination imaging, the speckle size for illuminating speckle light field is also an important parameter.Due to dissipating Speckle research belongs to composite statistics optical field, for same detection plane, if speckle size is too big, dissipating in detection plane Speckle quantity is very few so that in sample, sampling number is very few causes analytical error bigger than normal;However, if speckle size is too little, detection Sampling number in plane causes amount of calculation to be increased sharply too much, reduces data-handling efficiency;Therefore, control the speckle in speckle field Size is extremely important.
The content of the invention
It is an object of the invention to provide producing device of the super Rayleigh speckle field of a kind of controllable and preparation method thereof, can be online Make speckle size and the regulatable super Rayleigh speckle field of contrast value.
The technical scheme that adopted for achieving the above object of the present invention for:A kind of making dress of the super Rayleigh speckle field of controllable Put, including a continuous-wave laser, computer I and computer II, in the light beam direction of advance of the continuous-wave laser according to Secondary to be provided with adjustable laser attenuator, pinhole filter, lens, polarizer I and beam splitter, it is different that beam splitter is located at two other Light beam direction of advance on, one of light beam direction of advance is provided with reflective spatial light modulator, and another light beam advances It is saturating that direction is provided with analyzer I, diaphragm I, polarizer II, transmissive spatial photomodulator, analyzer II, diaphragm II, Fourier Mirror, CCD camera;Wherein, reflective spatial light modulator and CCD camera are connected with computer I, on reflective spatial light modulator Image write by computer I;The speckle field information produced after transmissive spatial photomodulator Jing CCD camera imaging after, Store in computer I;Transmissive spatial photomodulator is connected with computer II;Described transmissive spatial photomodulator is located at On the front focal plane of fourier lense, described CCD camera is located on the back focal plane of fourier lense.
Using the method for the super Rayleigh speckle field of said apparatus making controllable, specific make step is:Step one, utilization meter Calculation machine II, adopts wavelength and diffuser is passed through for the incident illumination of l, and making COMPLEX AMPLITUDE is ERayRayleigh speckle field,, wherein, overflow Beam place plane is α β planes, and target place plane isPlane,Distance between plane and α β planes is z0;P (α, β)For pupil function,,Expression takes square Shape function;φ(α, β)The complex amplitude transmittance function of diffuser is represented, its value is the Phase Moment of the random distribution between 0 ~ 2p Battle array;Wherein, a, b are positive number;J is imaginary unit, and k is wave number;
Step 2, the COMPLEX AMPLITUDE to Rayleigh speckle fieldPlus an exponential factor S, super Rayleigh speckle is obtained , the COMPLEX AMPLITUDE of super Rayleigh speckle field is, S taken more than 1 Integer;
Step 3, the COMPLEX AMPLITUDE to super Rayleigh speckle fieldInverse Fourier transform is carried out, and Take its phasing matrix,, wherein,Expression takes inverse Fourier transform,Expression takes phase place;
Step 4, using computer II, the phasing matrix that step 3 is obtainedInput transmissive spatial light Manipulator;
Step 5, using computer I, generate Laguerre-Gaussian beam COMPLEX AMPLITUDEWith glitter Grating COMPLEX AMPLITUDEPhase diagram after superposition is usedRepresent, wherein,, For Associated laguerre's polynomial;R, θ are polar coordinate;For Beam waist radius, unit is millimeter;M is angular index, and m takes Integer;P be radial direction index, the negated negative integers of P;A0For amplitude constant;;Wherein, j is void Number unit, k is wave number;
Step 6, using computer I, the phase diagram that step 5 is generatedIt is input to Reflective spatial light modulation In device;
Step 7, opening continuous-wave laser, the laser beam that continuous-wave laser is projected sequentially pass through adjustable laser decay After device, pinhole filter, lens, polarizer I, beam splitter, it is radiated on reflective spatial light modulator, through Reflective spatial Photomodulator reflection after light beam be Laguerre-Gauss vortex beams, Laguerre-Gauss vortex beams sequentially pass through beam splitter, Analyzer I, diaphragm I, polarizer II, after being radiated on transmissive spatial photomodulator, produce speckle light beam, and speckle light beam is successively After analyzer II, diaphragm II, fourier lense, it is imaged into CCD camera, institute is stored in calculating into super Rayleigh speckle image Machine I, super Rayleigh speckle image are represented with Is;
Step 8, using speckle image contrast defined formulaCalculate excess of export Rayleigh speckle The contrast value of image Is, wherein<…>Expression takes ensemble average;The contrast formula is known in information optical field;
Step 9, in xy two-dimensional coordinate systems, using speckle imageI s Auto-covariance function, calculate super Rayleigh speckle The speckle mean size of image Is, wherein,Fourier transformation and inverse Fourier transform are represented respectively, and expression takes Ensemble average;
Step 10, exponential factorSWhen rounding numerical value in the range of 2 ~ 10, using computer II, different S values correspondence is obtained The phasing matrix for obtainingTransmissive spatial photomodulator is input into respectively, using step 7 and step 8, is realized super auspicious The contrast value V of sharp speckle field is adjusted in the range of 1 ~ 5;Meanwhile, when angular exponent m rounds numerical value in the range of 1 ~ 10, utilize Computer I, the phase diagram that different m values correspondence is obtainedIt is input in reflective spatial light modulator, using step Seven and step 8, realize regulation of the speckle particle mean size in super Rayleigh speckle field in the range of 3 ~ 30 Pixel Dimensions.
In the present invention, adjustable laser attenuator is radiated at the laser intensity on reflective spatial light modulator for control; Described pinhole filter, lens for carrying out shaping, collimation to light beam;Described diaphragm I and diaphragm II is used to select one-level Diffraction vortex beams;
In the present invention, m is angular index,mRound numbers, represents the topological charge values of vortex beams.
Beneficial effects of the present invention:In the super Rayleigh speckle field that producing device of the present invention makes, the contrast of speckle patternV With exponential factorSIt is directly proportional, the mean size of speckle and angular indexmIt is inversely proportional to;By changing exponential factorSWith it is angular IndexmNumerical value, obtain the super Rayleigh speckle field of target, so as to obtain the regulatable super Rayleigh speckle of speckle size, contrast value .By using differentSWithVNumerical value group meeting, be capable of achieving speckle size, the regulatable super Rayleigh speckle of contrast value .Compared with prior art, in the case where light path is not changed, producing device of the present invention and manufacture method can realize that speckle is big Little, contrast value freely regulates and controls, with can dynamic it is online regulate and control the characteristics of.
Description of the drawings
Fig. 1 is the producing device figure of the super Rayleigh speckle field of controllable of the present invention;
Fig. 2 is angular indexm =3rd, exponential factorSThe super Rayleigh speckle pattern obtained when=3;
Fig. 3 is angular indexm =3rd, exponential factorSThe super Rayleigh speckle pattern obtained when=5;
Fig. 4 is angular indexm =1st, exponential factorSThe super Rayleigh speckle pattern obtained when=2;
Fig. 5 is angular indexm =4th, exponential factorSThe super Rayleigh speckle pattern obtained when=2.
Reference:100th, continuous-wave laser, 200, adjustable laser attenuator, 300, pinhole filter, 401, lens, 402nd, fourier lense, 501, polarizer I, 502, analyzer I, 503, polarizer II, 504, analyzer II, 600, beam splitter, 701st, reflective spatial light modulator, 702, transmissive spatial photomodulator, 801, diaphragm I, 802, diaphragm II, 900, CCD phases Machine, 1001, computer I, 1002, computer II.
Specific embodiment
With reference to specific embodiment to producing device of the super Rayleigh speckle field of controllable of the invention and preparation method thereof It is described further, so that those skilled in the art can be better understood from the present invention and can be practiced, but lifted enforcement Example is not as a limitation of the invention.
The producing device of the super Rayleigh speckle field of a kind of controllable, as shown in figure 1, including a continuous-wave laser 100, calculating Machine I1001 and computer II1002, in the light beam direction of advance of the continuous-wave laser 100 is sequentially provided with adjustable laser and declines Subtract device 200, pinhole filter 300, lens 401, polarizer I501 and beam splitter 600, beam splitter 600 is located at two other not In same light beam direction of advance, one of light beam direction of advance is provided with reflective spatial light modulator 701, another light beam Direction of advance is provided with analyzer I502, diaphragm I801, polarizer II503, transmissive spatial photomodulator 702, analyzer II504, diaphragm II802, fourier lense 402, CCD camera 900.
Wherein, reflective spatial light modulator 701 and CCD camera 900 are connected with computer I1001, reflection type spatial light Image on manipulator 701 is write by computer I1001;The speckle field letter produced after transmissive spatial photomodulator 702 Breath is stored in computer I1001 Jing after CCD camera 900 is imaged;Transmissive spatial photomodulator 702 and computer II1002 It is connected;Transmissive spatial photomodulator 702 is located on the front focal plane of fourier lense 402, and described CCD camera 900 is located at On the back focal plane of fourier lense 402.
Using the method for the super Rayleigh speckle field of said apparatus making controllable, specific make step is:Step one, utilization meter Calculation machine II, adopts wavelength and diffuser is passed through for the incident illumination of l, and making COMPLEX AMPLITUDE is ERayRayleigh speckle field,, wherein, overflow Beam place plane is α β planes, and target place plane isPlane,Distance between plane and α β planes is z0;P (α, β)For pupil function,,Expression takes square Shape function;φ(α, β)The complex amplitude transmittance function of diffuser is represented, its value is the Phase Moment of the random distribution between 0 ~ 2p Battle array;Wherein, a, b are positive number;J is imaginary unit, and k is wave number;
Step 2, the COMPLEX AMPLITUDE to Rayleigh speckle fieldPlus an exponential factor S, super Rayleigh speckle is obtained , the COMPLEX AMPLITUDE of super Rayleigh speckle field is, S taken more than 1 Integer;
Step 3, the COMPLEX AMPLITUDE to super Rayleigh speckle fieldInverse Fourier transform is carried out, and Take its phasing matrix,, wherein, Expression takes inverse Fourier transform,Expression takes phase place;
Step 4, using computer II, the phasing matrix that step 3 is obtainedInput transmissive spatial light Manipulator;
Step 5, using computer I, generate Laguerre-Gaussian beam COMPLEX AMPLITUDEWith glitter Grating COMPLEX AMPLITUDEPhase diagram after superposition is usedRepresent, wherein,, For Associated laguerre's polynomial;R, θ are polar coordinate;For Beam waist radius, unit is millimeter;M is angular index, and m takes Integer;P be radial direction index, the negated negative integers of P;A0For amplitude constant;;Wherein, j is void Number unit, k is wave number;
Step 6, using computer I, the phase diagram that step 5 is generatedIt is input to Reflective spatial light modulation In device;
Step 7, opening continuous-wave laser, the laser beam that continuous-wave laser is projected sequentially pass through adjustable laser decay After device, pinhole filter, lens, polarizer I, beam splitter, it is radiated on reflective spatial light modulator, through Reflective spatial Photomodulator reflection after light beam be Laguerre-Gauss vortex beams, Laguerre-Gauss vortex beams sequentially pass through beam splitter, Analyzer I, diaphragm I, polarizer II, after being radiated on transmissive spatial photomodulator, produce speckle light beam, and speckle light beam is successively After analyzer II, diaphragm II, fourier lense, it is imaged into CCD camera, institute is stored in calculating into super Rayleigh speckle image Machine I, super Rayleigh speckle image are represented with Is;
Step 8, using speckle image contrast defined formulaCalculate excess of export Rayleigh speckle The contrast value of image Is, wherein<…>Expression takes ensemble average;
Step 9, in xy two-dimensional coordinate systems, using speckle imageI s Auto-covariance function, calculate super Rayleigh speckle The speckle mean size of image Is, wherein,Fourier transformation and inverse Fourier transform are represented respectively, and expression takes Ensemble average;
Step 10, exponential factorSWhen rounding numerical value in the range of 2 ~ 10, using computer II, different S values correspondence is obtained The phasing matrix for obtainingTransmissive spatial photomodulator is input into respectively, using step 7 and step 8, is realized super auspicious The contrast value V of sharp speckle field is adjusted in the range of 1 ~ 5;Meanwhile, when angular exponent m rounds numerical value in the range of 1 ~ 10, utilize Computer I, the phase diagram that different m values correspondence is obtainedIt is input in reflective spatial light modulator, using step Seven and step 8, realize regulation of the speckle particle mean size in super Rayleigh speckle field in the range of 3 ~ 30 Pixel Dimensions.
In the present invention, in the auto-covariance function of step 9,For the autocorrelation peak in direction, its half height The speckle average-size in a width of direction;ForyThe autocorrelation peak in direction, its halfwidth isyThe speckle in direction Average-size.
In super Rayleigh speckle field obtained in of the invention, the contrast of speckle patternVWith exponential factorSIt is directly proportional, speckle Mean size and angular indexmIt is inversely proportional to;By changing exponential factorSWith angular indexmNumerical value, obtain target it is super auspicious Sharp speckle field, so as to obtain the regulatable super Rayleigh speckle field of speckle size, contrast value;
In the present embodiment, angular indexm =3rd, exponential factorSThe super Rayleigh speckle pattern obtained when=3,5, such as Fig. 2, Fig. 3 It is shown;Can be calculated the contrast value of Fig. 2 speckle patternsV=1.305, speckle mean size is 8.782 Pixels;Fig. 3 speckle patterns Contrast valueV=2.876, speckle mean size is 10.256 Pixels;Wherein, Pixels is pixel unit.
Fig. 4, Fig. 5 are respectively exponential factorS=2, angular indexm =1st, 4 when the super Rayleigh speckle pattern that obtains, can be calculated The contrast value of Fig. 4 speckle patternsV=1.112, speckle mean size is 19.032 Pixels;The contrast value of Fig. 5 speckle patternsV =1.117, speckle mean size is 7.564 Pixels.
Our experiments show that:Apparatus of the present invention and method can realize the regulatable speckle field of speckle size, contrast, and have Have principle it is succinct, can dynamic regulation online, it is easy to the advantage of operation.Can be widely applied for laser speckle illumination microtechnique, The fields such as speckle contrast value measuring technology, the imaging of vortex ghost and fixed star strength Interference.

Claims (1)

1. a kind of manufacture method of the super Rayleigh speckle field of controllable, an including continuous-wave laser(100), computer I(1001) And computer II(1002), in the continuous-wave laser(100)Light beam direction of advance on be sequentially provided with adjustable laser decay Device(200), pinhole filter(300), lens(401), polarizer I(501)And beam splitter(600), beam splitter(600)It is located at In two other different light beam direction of advance, one of light beam direction of advance is provided with reflective spatial light modulator (701), another light beam direction of advance is provided with analyzer I(502), diaphragm I(801), polarizer II(503), transmission-type it is empty Between photomodulator(702), analyzer II(504), diaphragm II(802), fourier lense(402), CCD camera(900);
Wherein, reflective spatial light modulator(701)And CCD camera(900)With computer I(1001)It is connected, Reflective spatial Photomodulator(701)On image by computer I(1001)Write;Through transmissive spatial photomodulator(702)Produce afterwards Speckle field information Jing CCD camera(900)After imaging, storage to computer I(1001)In;Transmissive spatial photomodulator(702) With computer II(1002)It is connected;
Described transmissive spatial photomodulator(702)Positioned at fourier lense(402)Front focal plane on, described CCD phases Machine(900)Positioned at fourier lense(402)Back focal plane on, it is characterised in that:Specific make step is:
Step one, using computer II, adopt wavelength and diffuser passed through for the incident illumination of l, making COMPLEX AMPLITUDE be ERayRayleigh Speckle field,, Wherein, diffuser place plane is α β planes, and target place plane isPlane,Between plane and α β planes away from From for z0;P(α, β)For pupil function,, Expression takes rectangular function;φ(α, β)The complex amplitude transmittance function of diffuser is represented, its value is the random distribution between 0 ~ 2p Phasing matrix;Wherein, a, b are positive number;J is imaginary unit, and k is wave number;
Step 2, the COMPLEX AMPLITUDE to Rayleigh speckle fieldPlus an exponential factor S, super Rayleigh speckle field is obtained, surpassed The COMPLEX AMPLITUDE of Rayleigh speckle field is, S takes the integer more than 1;
Step 3, the COMPLEX AMPLITUDE to super Rayleigh speckle fieldInverse Fourier transform is carried out, and takes which Phasing matrix,, wherein,Table Show and take inverse Fourier transform,Expression takes phase place;
Step 4, using computer II, the phasing matrix that step 3 is obtainedInput transmissive spatial light modulation Device;
Step 5, using computer I, generate Laguerre-Gaussian beam COMPLEX AMPLITUDEWith balzed grating, COMPLEX AMPLITUDEPhase diagram after superposition is usedRepresent, wherein,, For Associated laguerre's polynomial;R, θ are polar coordinate;For Beam waist radius, unit is millimeter;M is angular index, and m takes Integer;P be radial direction index, the negated negative integers of P;A0For amplitude constant;;Wherein, j is void Number unit, k is wave number;
Step 6, using computer I, the phase diagram that step 5 is generatedIt is input in reflective spatial light modulator;
Step 7, opening continuous-wave laser, the laser beam that continuous-wave laser is projected sequentially pass through adjustable laser attenuator, pin After hole wave filter, lens, polarizer I, beam splitter, it is radiated on reflective spatial light modulator, adjusts through reflection type spatial light Light beam after device processed reflection is Laguerre-Gauss vortex beams, and Laguerre-Gauss vortex beams sequentially pass through beam splitter, analyzing Device I, diaphragm I, polarizer II, after being radiated on transmissive spatial photomodulator, produce speckle light beam, and speckle light beam is sequentially passed through After analyzer II, diaphragm II, fourier lense, it is imaged into CCD camera, institute is stored in computer I into super Rayleigh speckle image, Super Rayleigh speckle image is represented with Is;
Step 8, using speckle image contrast defined formulaCalculate excess of export Rayleigh speckle image The contrast value of Is, wherein<…>Expression takes ensemble average;
Step 9, in xy two-dimensional coordinate systems, using speckle imageI s Auto-covariance function, calculate super Rayleigh speckle image Is Speckle mean size, wherein,Fourier transformation and inverse Fourier transform are represented respectively, and expression takes assemblage and puts down ;
Step 10, exponential factorSWhen rounding numerical value in the range of 2 ~ 10, using computer II, different S values correspondence is obtained Phasing matrixTransmissive spatial photomodulator is input into respectively, using step 7 and step 8, realizes that super Rayleigh dissipates The contrast value V of speckle field is adjusted in the range of 1 ~ 5;
Meanwhile, when angular exponent m rounds numerical value in the range of 1 ~ 10, using computer I, the phase place that different m values correspondence is obtained FigureIt is input in reflective spatial light modulator, using step 7 and step 8, in realizing super Rayleigh speckle field Regulation of the speckle particle mean size in the range of 3 ~ 30 Pixel Dimensions.
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