CN107764417A - Measure partially coherent vortex beams topological charge number size and positive and negative method and system - Google Patents
Measure partially coherent vortex beams topological charge number size and positive and negative method and system Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J9/00—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength
- G01J9/02—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength by interferometric methods
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J9/00—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength
- G01J9/02—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength by interferometric methods
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Abstract
The invention discloses a kind of measurement partially coherent vortex beams topological charge number size and positive and negative method and system, this method to include：Record the light intensity of partially coherent vortex beams to be measured；Partially coherent vortex beams to be measured are introduced with the disturbance of out of phase assignment three times；Partially coherent vortex beams to be measured after disturbance are carried out with Fourier transformation, and records the light intensity of Fourior plane under out of phase assignment three times；According to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity, the cross-spectral density function of partially coherent vortex beams to be measured is obtained by inversefouriertransform；The complex degree of coherence of partially coherent vortex beams to be measured is obtained using the light intensity of cross-spectral density function and partially coherent vortex beams to be measured；The phase distribution figure of complex degree of coherence is drawn, the number for the singular point that is concerned with phase distribution figure is topological charge number, determines that topological charge is positive and negative according to the rotation direction of phase place change around relevant singular point, counterclockwise for just, clockwise is negative.
Description
Technical field
The present invention relates to field of optical measurements, more particularly to a kind of measurement partially coherent vortex beams topological charge number size and
Positive and negative method and system.
Background technology
Important branch of the singular optics as contemporary optics, has attracted the concern of domestic and international a large number of researchers.So-called singular point,
The point that some parameters can not define i.e. in light field, such as the phase singularity that Nye and Berry are proposed and defined, most typical phase
Singular point is vortex beams, and under complete coherent condition, vortex beams central light strength is zero, and helical structure gradual change is presented in phase, its
Intersect midpoint phase not knowing, as phase singularity.
Vortex beams have huge in terms of Laser Particle capture, micro- manipulation, information coding and optical information transmission
Application prospect, 1992, Allen et al. propose phase beVortex beams, each photon carries a rail
Road angular momentumWherein, l is topological charge number, and therefore, the measurement to vortex beams topological charge is a very important job,
For completely relevant or higher degree of coherence vortex beams, the method for measuring topological charge is broadly divided into three kinds：Interferometric method, diffraction approach
With Intensity Analysis method, but when degree of coherence reduces, original topological charge for completely relevant or higher degree of coherence vortex beams
Measuring method will gradually fail.And measured for the topological charge of partially coherent vortex beams, utilize cross correlation function (cross-
Correlation function, CCF) and the relation of topological charge number can only measure the size of topological charge number, topology can not be obtained
The positive negative information of lotus.And in actual applications, partially coherent vortex beams have in Laser Processing, optical tweezer and atom cooling etc.
The advantage of uniqueness.At present, lack a kind of can have to the topological charge number sizes of partially coherent vortex beams, positive negative information
The method for imitating measurement.
The content of the invention
The technical problem to be solved in the present invention is how to measure the topological charge number size of partially coherent vortex beams and positive and negative
Information.
In order to solve the above-mentioned technical problem, the invention provides one kind to measure partially coherent vortex beams topological charge number size
With positive and negative method, including：
Record treats that partially coherent surveys the light intensity of vortex beams；
The partially coherent vortex beams to be measured are introduced with the disturbance of out of phase assignment three times；
Partially coherent vortex beams to be measured after disturbance are carried out with Fourier transformation, and is recorded under out of phase assignment three times
The light intensity of Fourior plane；
According to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity, pass through anti-Fourier
Conversion obtains the cross-spectral density function of partially coherent vortex beams to be measured；
According to the definition of complex degree of coherence, the light intensity of the cross-spectral density function and partially coherent vortex beams to be measured is utilized
Obtain the complex degree of coherence of partially coherent vortex beams to be measured；
The phase distribution figure of complex degree of coherence is drawn, the number for the singular point that is concerned with the phase distribution figure is topological charge number,
Determine that topological charge is positive and negative according to the rotation direction of phase place change around relevant singular point, wherein counterclockwise for just, clockwise is negative.
As a further improvement on the present invention, basis out of phase assignment and Fu under out of phase assignment three times three times
In leaf plane light intensity, the cross-spectral density function of partially coherent vortex beams to be measured is obtained by inversefouriertransform, specifically
Including：
First, in the case where not introducing disturbance, partially coherent vortex beams to be measured represent in the light intensity of Fourior plane
For：
I0(ρ)=∫ ∫ W (r1,r2)exp[-i2πρ(r1-r2)]dr1dr2
Wherein W (r1,r2) be partially coherent vortex beams to be measured cross-spectral density, when in r=r0Place introduces disturbance, light
Strongly expressed formula becomes：
I (ρ)=I0(ρ)+CC*W(r0,r0)+
+C∫W(r1,r0)exp[-i2πρ(r1-r0)]dr1
+C*∫W(r0,r2)exp[-i2πρ(r0-r2)]dr2
Wherein C is the plural number determined, is disturbed for characterizing, and carrying out inversefouriertransform to the light intensity can obtain：
FT-1[I (ρ)] (r)=FT-1[I0(ρ)](r)+CC*W(r0,r0)δ(r)
+CW(r0+r,r0)+C*W(r0,r0-r)
By changing the phase assignment of disturbance three times, three equations are obtained, solution obtains cross-spectral density function.
As a further improvement on the present invention, methods described also includes：The distribution of amplitudes figure of complex degree of coherence is drawn, it is described to shake
The number of relevant singular point is topological charge number in width distribution map.
As a further improvement on the present invention, the partially coherent vortex beams to be measured are radiated at by partially coherent light beam and added
Carry on the pure phase spatial light modulator of vortex phase and produced after condenser lens.
As a further improvement on the present invention, the disturbance and the area ratio of partially coherent vortex beams to be measured arrive for 1/6
1/15。
As a further improvement on the present invention, the disturbance is circle.
As a further improvement on the present invention, partially coherent vortex beams to be measured are drawn using pure phase spatial light modulator
Enter disturbance.
As a further improvement on the present invention, the partially coherent vortex beams to be measured after disturbance are carried out using condenser lens
Fourier transformation.
As a further improvement on the present invention, recorded using charge coupled cell in partially coherent vortex beams to be measured and Fu
The light intensity of leaf plane.
Present invention also offers a kind of measurement partially coherent vortex beams topological charge number size and positive and negative system, including：
First charge coupled cell, for recording the light intensity of partially coherent vortex beams to be measured；
Pure phase spatial light modulator, for introducing out of phase assignment three times to the partially coherent vortex beams to be measured
Disturbance；
Lens, for carrying out Fourier transformation to the partially coherent vortex beams to be measured after disturbance；
Second charge coupled cell, for recording the light intensity of Fourior plane under out of phase assignment three times；
Computer, for according to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity,
The cross-spectral density function of partially coherent vortex beams to be measured is obtained by inversefouriertransform, and determined according to complex degree of coherence
Justice, partially coherent vortex beams to be measured are obtained using the light intensity of the cross-spectral density function and partially coherent vortex beams to be measured
Complex degree of coherence, and draw the phase distribution figure of complex degree of coherence, the number for the singular point that is concerned with the phase distribution figure is topology
Lotus number, determine that topological charge is positive and negative according to the rotation direction of phase place change around relevant singular point, wherein counterclockwise for just, clockwise is negative.
Present invention measurement partially coherent vortex beams topological charge number size and positive and negative method and system pass through to part phase
Dry vortex beams introduce disturbance, according to the out of phase assignment of cubic perturbation and three times Fourior plane under out of phase assignment
Light intensity, the cross-spectral density function of partially coherent vortex beams to be measured is obtained by inversefouriertransform, and according to complex degree of coherence
Definition, obtain partially coherent vortex beams to be measured using the light intensity of cross-spectral density function and partially coherent vortex beams to be measured
Complex degree of coherence.Relevant singular point can be directly observed from the phase distribution figure of complex degree of coherence, and obtains partially coherent whirlpool to be measured
The topological charge number size of optically-active beam and positive negative information, it is significant to fields such as information coding, quantum information storages, have
Wide application prospect.
Described above is only the general introduction of technical solution of the present invention, in order to better understand the technological means of the present invention,
And can be practiced according to the content of specification, and in order to allow the above and other objects, features and advantages of the present invention can
Become apparent, below especially exemplified by preferred embodiment, and coordinate accompanying drawing, describe in detail as follows.
Brief description of the drawings
Fig. 1 is that partially coherent vortex beams topological charge number size and the signal of positive and negative method are measured in the embodiment of the present invention
Figure；
Fig. 2 is that partially coherent vortex beams topological charge number size and the signal of positive and negative system are measured in the embodiment of the present invention
Figure；
Fig. 3 is the amplitude and phase distribution figure for the complex degree of coherence that the present invention obtains in an experiment.
Description of symbols：1st, partially coherent light source；2nd, the first beam splitter；3rd, the first reflective pure phase spatial light modulator；
4th, the first lens；5th, the second beam splitter；6th, the second reflective pure phase spatial light modulator；7th, the second lens；8th, the first electric charge
Coupling element；9th, the second charge coupled cell；10th, the first computer；11st, second computer.
Embodiment
The invention will be further described with specific embodiment below in conjunction with the accompanying drawings, so that those skilled in the art can be with
More fully understand the present invention and can be practiced, but illustrated embodiment is not as a limitation of the invention.
In the present embodiment, object to be measured is the partially coherent vortex beams at Jiao Chang.
As shown in figure 1, be the present invention measurement partially coherent vortex beams topological charge size method, this method include with
Lower step：
Step S110, the light intensity of partially coherent vortex beams to be measured is recorded；
Specifically, the light intensity of partially coherent vortex beams to be measured at Jiao Chang to be measured is recorded using charge coupled cell.
Preferably, the partially coherent vortex beams at the Jiao Chang to be measured are radiated at by partially coherent light beam is loaded with vortex
The pure phase spatial light modulator of phase and and produced after condenser lens.
Step S120, the partially coherent vortex beams to be measured are introduced with the disturbance of out of phase assignment three times；
Disturbed specifically, being introduced using pure phase spatial light modulator to the partially coherent vortex beams to be measured at Jiao Chang to be measured
It is dynamic.
Preferably, disturb as circle, disturbance and the area ratio of Jiao Chang to be measured places partially coherent vortex beams are 1/10.At this
In the other embodiment of invention, the shapes and sizes of disturbance can be configured as needed, disturbance and partially coherent whirlpool to be measured
The area ratio preferably 1/6 to 1/15 of optically-active beam.
Step S130, the partially coherent vortex beams to be measured after disturbance are carried out with Fourier transformation, and is recorded different three times
The light intensity of Fourior plane under phase assignment；
Specifically, Fourier's change is carried out to the partially coherent vortex beams to be measured at the Jiao Chang to be measured after disturbance using lens
Change.
Preferably, the light intensity at Fourior plane under charge coupled cell record record three times out of phase assignment is utilized.
Step S140, according to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity, lead to
Cross inversefouriertransform and obtain the cross-spectral density function of partially coherent vortex beams to be measured；
Specifically：First, in the case where not introducing disturbance, partially coherent vortex beams are put down in Fourier at Jiao Chang to be measured
The light intensity in face can be expressed as：
I0(ρ)=∫ ∫ W (r1,r2)exp[-i2πρ(r1-r2)]dr1dr2
Wherein W (r1,r2) be partially coherent vortex beams to be measured cross-spectral density, when in r=r0Place introduces disturbance, light
Strongly expressed formula becomes：
I (ρ)=I0(ρ)+CC*W(r0,r0)+
+C∫W(r1,r0)exp[-i2πρ(r1-r0)]dr1
+C*∫W(r0,r2)exp[-i2πρ(r0-r2)]dr2
Wherein C is the plural number determined, is disturbed for characterizing, and carrying out inversefouriertransform to the light intensity can obtain：
FT-1[I (ρ)] (r)=FT-1[I0(ρ)](r)+CC*W(r0,r0)δ(r)
+CW(r0+r,r0)+C*W(r0,r0-r)
By changing the phase assignment of disturbance three times, three equations are obtained, solution obtains cross-spectral density function.
If phase assignment is three times：C0=exp [0] and C±=exp [± 2i π/3], can solve to obtain：
Step S150, according to the definition of complex degree of coherence, it is vortexed using the cross-spectral density function and partially coherent to be measured
The light intensity of light beam obtains the complex degree of coherence of partially coherent vortex beams to be measured；
Specifically, wherein, the definition of complex degree of coherence is：The cross spectrum that will be obtained
Density function W (r, r0) and Jiao Chang to be measured at partially coherent vortex beams light intensity I (r) and I (r0) substitute into above-mentioned formulaIt can obtain the complex degree of coherence of partially coherent vortex beams at Jiao Chang to be measured.
Step S160, complex degree of coherence phase distribution figure is drawn, the number for the singular point that is concerned with the phase distribution figure is to open up
Lotus number is flutterred, determines that topological charge is positive and negative according to the rotation direction of phase place change around relevant singular point, wherein being just, to be clockwise counterclockwise
It is negative.
Preferably, the method for the topological charge size of above-mentioned measurement partially coherent vortex beams also includes step：
Complex degree of coherence distribution of amplitudes figure is drawn, the number for the singular point that is concerned with the distribution of amplitudes figure is topological charge number.
As shown in Fig. 2 it is that the present invention measures partially coherent vortex beams topological charge number size and positive and negative system, the system
Including partially coherent light source 1, first the 2, first reflective pure phase spatial light modulator 3 of beam splitter, 4, second points of the first lens
The reflective pure phase spatial light modulator 6 of beam mirror 5, second, the second lens 7, the first charge coupled cell 8, the second Charged Couple
Element 9, the first computer 10 and second computer 11.
Light beam caused by partially coherent light source 1 is transmitted through the first reflective pure phase bit space light after the first beam splitter 2
Modulator 3, the light reflected by the first reflective pure phase spatial light modulator 3 are partially coherent vortex beams, part phase
Dry vortex beams are by the back reflection of the first beam splitter 2 to the first lens 4, and the first lens 4 are condenser lens, then partially coherent whirlpool
Optically-active beam passes through the second beam splitter 5, and the part of transmission enters the second reflective pure phase spatial light modulator 6, and second is reflective
Partially coherent vortex beams introduce disturbance, the partially coherent vortex beams after disturbance at the pure focusing of phase spatial light modulator 6 field
It is reflected back the second beam splitter 5 and reflects by the second lens 7, the second lens 7 to the partially coherent vortex beams after disturbance to enters
Row Fourier transformation, the first charge coupled cell 8 are placed on Fourior plane, record the light intensity of Fourior plane, wherein, pass through
Second reflective pure phase spatial light modulator 6 changes the phase assignment of disturbance, and the first charge coupled cell 8 records different three times
The light intensity of Fourior plane under phase assignment；Partially coherent vortex beams enter the by the part of the back reflection of the second beam splitter 5
Two charge coupled cells 9, the second charge coupled cell 9 record the light intensity of partially coherent vortex beams at Jiao Chang.First is reflective
Spatial light modulator 3 is connected with the first computer 10, and the first computer 10 can be controlled on the first reflective spatial light modulator
Vortex phase loading.Second reflective pure phase spatial light modulator 6, the first charge coupled cell 8 and the second electric charge coupling
Close element 9 to be connected with second computer 11, second computer 11 can control to be loaded on the second reflective spatial light modulator
Disturbance phase assignment, and according to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity,
The cross-spectral density function of partially coherent vortex beams at Jiao Chang to be measured is obtained by inversefouriertransform, and according to complex degree of coherence
Definition, obtain part at Jiao Chang using the light intensity of partially coherent vortex beams at the cross-spectral density function and Jiao Chang to be measured
The complex degree of coherence of coherence vortex light beam, and the phase distribution figure of complex degree of coherence is drawn, be concerned with singular point in the phase distribution figure
Number is topological charge number, determines that topological charge is positive and negative according to the rotation direction of phase place change around relevant singular point, wherein counterclockwise for just,
It is clockwise negative.
Wherein, the second reflective pure phase spatial light modulator 6 is used to set measurement range, i.e., by space light modulation
Grating is loaded on device, isolates middle section and fringe region, and selects to carry out the middle section of partially coherent vortex beams
The recovery of cross-spectral density, the veiling glare around partially coherent vortex beams of effectively being forgone with this, the setting mark of measurement range
Standard is：Interference information is only removed, the main information of vortex beams can not cut damage vortex beams in measurement range.Specifically, this
The measurement range that place is set is circle, and the center of circle is located at the midpoint of spatial light modulator, Jiao at radius 0.6mm, Jiao Chang to be measured
Partially coherent vortex beams alignment measurement range irradiation at.Disturbance is introduced simultaneously, the phase assignment three times of disturbance is respectively：
C0=exp [0] and C±=exp [± 2i π/3], disturbance are located on the partially coherent vortex beams at the Jiao Chang at Jiao Chang to be measured,
Ordinate is 0, and abscissa is -0.3mm (should suitably change depending on the size of light beam to be measured), and disturbance is shaped as circle, and radius is
0.06mm。
Wherein, computer 11 according to out of phase assignment three times and three times under out of phase assignment Fourior plane light
By force, the cross-spectral density function of partially coherent vortex beams to be measured at Jiao Chang is obtained by inversefouriertransform, and according to complex phase
The definition of mass dryness fraction, obtained using the light intensity of partially coherent vortex beams at the cross-spectral density function and Jiao Chang to be measured at Jiao Chang
The complex degree of coherence of partially coherent vortex beams.Specifically：
First, in the case where not introducing disturbance, light of the partially coherent vortex beams in Fourior plane at Jiao Chang to be measured
It can be expressed as by force：
I0(ρ)=∫ ∫ W (r1,r2)exp[-i2πρ(r1-r2)]dr1dr2
Wherein W (r1,r2) be partially coherent vortex beams at Jiao Chang to be measured cross-spectral density, when in r=r0Place's introducing is disturbed
Dynamic, light intensity expression becomes：
I (ρ)=I0(ρ)+CC*W(r0,r0)+
+C∫W(r1,r0)exp[-i2πρ(r1-r0)]dr1
+C*∫W(r0,r2)exp[-i2πρ(r0-r2)]dr2
Wherein C is the plural number determined, is disturbed for characterizing, and carrying out inversefouriertransform to the light intensity can obtain：
FT-1[I (ρ)] (r)=FT-1[I0(ρ)](r)+CC*W(r0,r0)δ(r)
+CW(r0+r,r0)+C*W(r0,r0-r)
By changing the phase assignment of disturbance three times, three equations are obtained, solution obtains cross-spectral density function.
If phase assignment is three times：C0=exp [0] and C±=exp [± 2i π/3], can solve to obtain：
Cross-spectral density function W (r, the r that will be obtained0) and Jiao Chang to be measured at partially coherent vortex beams light intensity I (r) and
I(r0) substitute into complex degree of coherence defined formulaIt can obtain partially coherent at Jiao Chang to be measured
The complex degree of coherence of vortex beams.
As shown in figure 3, the amplitude and phase distribution figure of the complex degree of coherence obtained in an experiment for the present invention.The first row in figure
The phase diagram of the complex degree of coherence obtained for the amplitude image of obtained complex degree of coherence, the second behavior.
The topological charge for the vortex phase that the reflective pure phase spatial light modulator 3 of setting first loads is respectively in an experiment
+ 1 ,+2 ,+3 and -3, according to the definition of relevant singular point, in complex degree of coherence structure, amplitude zero, and the point that phase can not define is i.e.
For the singular point that is concerned with, from the amplitude image of the first row can be seen that relevant singular point number and topological charge it is in the same size, but can not
For determining the positive and negative of topological charge, and from the phase distribution figure of the second row again it can be seen that the number of relevant singular point and topology
Lotus it is in the same size, while phase-π arrives the rotation direction of+π changes around relevant singular point, is determined for the positive and negative of topological charge：It is inverse
Hour hands is just, clockwise are negative.
Object to be measured is the partially coherent vortex beams at Jiao Chang in the present embodiment, and the present invention measures partially coherent vortex light
Partially coherent vortex beams (such as the portion in far field of the topological charge number size and positive and negative method and system of beam for optional position
The dry vortex beams of split-phase and the partially coherent vortex beams at Jiao Chang) it is equally applicable, and measuring method is identical.
Present invention measurement partially coherent vortex beams topological charge number size and positive and negative method and system pass through to part phase
Dry vortex beams introduce disturbance, according to the out of phase assignment of cubic perturbation and three times Fourior plane under out of phase assignment
Light intensity, the cross-spectral density function of partially coherent vortex beams to be measured is obtained by inversefouriertransform, and according to complex degree of coherence
Definition, obtain partially coherent vortex beams to be measured using the light intensity of cross-spectral density function and partially coherent vortex beams to be measured
Complex degree of coherence.Relevant singular point can be directly observed from the phase distribution figure of complex degree of coherence, and obtains partially coherent whirlpool to be measured
The topological charge number size of optically-active beam and positive negative information, it is significant to fields such as information coding, quantum information storages, have
Wide application prospect.
Above example is only the preferred embodiment to absolutely prove the present invention and being lifted, and protection scope of the present invention is not
It is limited to this.The equivalent substitute or conversion that those skilled in the art are made on the basis of the present invention, the guarantor in the present invention
Within the scope of shield.Protection scope of the present invention is defined by claims.
Claims (10)
1. measure partially coherent vortex beams topological charge number size and positive and negative method, it is characterised in that including：
Record the light intensity that partially coherent to be measured surveys vortex beams；
The partially coherent vortex beams to be measured are introduced with the disturbance of out of phase assignment three times；
Partially coherent vortex beams to be measured after disturbance are carried out with Fourier transformation, and is recorded under out of phase assignment three times in Fu
The light intensity of leaf plane；
According to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity, pass through inversefouriertransform
Obtain the cross-spectral density function of partially coherent vortex beams to be measured；
According to the definition of complex degree of coherence, obtained using the light intensity of the cross-spectral density function and partially coherent vortex beams to be measured
The complex degree of coherence of partially coherent vortex beams to be measured；
The phase distribution figure of complex degree of coherence is drawn, the number for the singular point that is concerned with the phase distribution figure is topological charge number, according to
The rotation direction of phase place change determines that topological charge is positive and negative around relevant singular point, wherein counterclockwise for just, clockwise is negative.
2. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In, the basis three times out of phase assignment and three times under out of phase assignment Fourior plane light intensity, pass through anti-Fourier
Conversion obtains the cross-spectral density function of partially coherent vortex beams to be measured, specifically includes：
First, in the case where not introducing disturbance, partially coherent vortex beams to be measured are expressed as in the light intensity of Fourior plane：
I0(ρ)=∫ ∫ W (r1,r2)exp[-i2πρ(r1-r2)]dr1dr2
Wherein W (r1,r2) be partially coherent vortex beams to be measured cross-spectral density, when in r=r0Place introduces disturbance, light intensity table
Become up to formula：
I (ρ)=I0(ρ)+CC*W(r0,r0)+
+C∫W(r1,r0)exp[-i2πρ(r1-r0)]dr1
+C*∫W(r0,r2)exp[-i2πρ(r0-r2)]dr2
Wherein C is the plural number determined, is disturbed for characterizing, and carrying out inversefouriertransform to the light intensity can obtain：
FT-1[I (ρ)] (r)=FT-1[I0(ρ)](r)+CC*W(r0,r0)δ(r)
+CW(r0+r,r0)+C*W(r0,r0-r)
By changing the phase assignment of disturbance three times, three equations are obtained, solution obtains cross-spectral density function.
3. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In, in addition to：
Complex degree of coherence distribution of amplitudes figure is drawn, the number for the singular point that is concerned with the distribution of amplitudes figure is topological charge number.
4. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In the partially coherent vortex beams to be measured are radiated at the pure phase bit space light tune for being loaded with vortex phase by partially coherent light beam
Produced on device processed and after condenser lens.
5. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In the area ratio of the disturbance and partially coherent vortex beams to be measured is 1/6 to 1/15.
6. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In the disturbance is circle.
7. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In using pure phase spatial light modulator to partially coherent vortex beams to be measured introducing disturbance.
8. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In using lens to the partially coherent vortex beams to be measured progress Fourier transformation after disturbance.
9. measurement partially coherent vortex beams topological charge number size and positive and negative method, its feature exist as claimed in claim 1
In recording the light intensity of partially coherent vortex beams and Fourior plane to be measured using charge coupled cell.
10. measure partially coherent vortex beams topological charge number size and positive and negative system, it is characterised in that including：
First charge coupled cell, for recording the light intensity of partially coherent vortex beams to be measured；
Pure phase spatial light modulator, disturbed for introducing out of phase assignment three times to the partially coherent vortex beams to be measured
It is dynamic；
Lens, for carrying out Fourier transformation to the partially coherent vortex beams to be measured after disturbance；
Second charge coupled cell, for recording the light intensity of Fourior plane under out of phase assignment three times；
Computer, for according to out of phase assignment three times and three times under out of phase assignment Fourior plane light intensity, pass through
Inversefouriertransform obtains the cross-spectral density function of partially coherent vortex beams to be measured, and according to the definition of complex degree of coherence, profit
Answering for partially coherent vortex beams to be measured is obtained with the light intensity of the cross-spectral density function and partially coherent vortex beams to be measured
Degree of coherence, and the phase distribution figure of complex degree of coherence is drawn, the number for the singular point that is concerned with the phase distribution figure is topological charge number,
Determine that topological charge is positive and negative according to the rotation direction of phase place change around relevant singular point, wherein counterclockwise for just, clockwise is negative.
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