CN107941353B - Two-photon correlation-based coherent vortex topology charge measurement method - Google Patents
Two-photon correlation-based coherent vortex topology charge measurement method Download PDFInfo
- Publication number
- CN107941353B CN107941353B CN201711181534.9A CN201711181534A CN107941353B CN 107941353 B CN107941353 B CN 107941353B CN 201711181534 A CN201711181534 A CN 201711181534A CN 107941353 B CN107941353 B CN 107941353B
- Authority
- CN
- China
- Prior art keywords
- spatial light
- photons
- light modulator
- photon
- vortex
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 230000001427 coherent effect Effects 0.000 title claims abstract description 15
- 238000000691 measurement method Methods 0.000 title description 3
- 230000005540 biological transmission Effects 0.000 claims abstract description 23
- 238000000034 method Methods 0.000 claims abstract description 14
- 239000013307 optical fiber Substances 0.000 claims abstract description 8
- 230000002596 correlated effect Effects 0.000 claims description 5
- 230000009977 dual effect Effects 0.000 claims description 3
- 230000005428 wave function Effects 0.000 claims description 3
- 230000003287 optical effect Effects 0.000 abstract description 14
- 238000005259 measurement Methods 0.000 abstract description 9
- 238000004364 calculation method Methods 0.000 abstract description 2
- 239000000835 fiber Substances 0.000 abstract description 2
- 238000004891 communication Methods 0.000 description 3
- 238000003384 imaging method Methods 0.000 description 3
- 230000000875 corresponding effect Effects 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000005305 interferometry Methods 0.000 description 2
- PCTMTFRHKVHKIS-BMFZQQSSSA-N (1s,3r,4e,6e,8e,10e,12e,14e,16e,18s,19r,20r,21s,25r,27r,30r,31r,33s,35r,37s,38r)-3-[(2r,3s,4s,5s,6r)-4-amino-3,5-dihydroxy-6-methyloxan-2-yl]oxy-19,25,27,30,31,33,35,37-octahydroxy-18,20,21-trimethyl-23-oxo-22,39-dioxabicyclo[33.3.1]nonatriaconta-4,6,8,10 Chemical compound C1C=C2C[C@@H](OS(O)(=O)=O)CC[C@]2(C)[C@@H]2[C@@H]1[C@@H]1CC[C@H]([C@H](C)CCCC(C)C)[C@@]1(C)CC2.O[C@H]1[C@@H](N)[C@H](O)[C@@H](C)O[C@H]1O[C@H]1/C=C/C=C/C=C/C=C/C=C/C=C/C=C/[C@H](C)[C@@H](O)[C@@H](C)[C@H](C)OC(=O)C[C@H](O)C[C@H](O)CC[C@@H](O)[C@H](O)C[C@H](O)C[C@](O)(C[C@H](O)[C@H]2C(O)=O)O[C@H]2C1 PCTMTFRHKVHKIS-BMFZQQSSSA-N 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000002050 diffraction method Methods 0.000 description 1
- 238000005315 distribution function Methods 0.000 description 1
- 238000012576 optical tweezer Methods 0.000 description 1
- 230000003595 spectral effect Effects 0.000 description 1
- 230000000007 visual effect Effects 0.000 description 1
Classifications
-
- 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
- G01J11/00—Measuring the characteristics of individual optical pulses or of optical pulse trains
Abstract
The invention relates to a method for measuring coherent vortex topology charge based on two-photon correlation. The method for measuring the coherent vortex topological charge based on the two-photon correlation comprises the following steps: generating incoherent entangled photon pairs; dividing the entangled photon pair into i photons and s photons by a beam splitter; the control computer enables s photons passing through the spatial light modulator to obtain vortex phase, then the optical signal is coupled to a single mode optical fiber, and single-point measurement is carried out by using an avalanche diode; the control computer makes the i photon passing through the spatial light modulator obtain specific amplitude and phase, then couples the optical signal to a single mode fiber, and makes single-point measurement by using an avalanche diode; performing association calculation on the two paths of measured optical signals and recording the optical signals by a computer; searching the maximum value in the output correlation value by changing the transmission coefficient of the spatial light modulator of the optical path where the i photon is located; the transmission coefficient of the i photon corresponding to the maximum value is the vortex topology charge value of the s photon. The invention adopts incoherent entangled photon pair as light source, measures the topological charge of coherent vortex on single photon level, and has the advantages of accurate measurement result and wide measurement range.
Description
Technical Field
The invention relates to a method for measuring coherent vortex topology charge based on two-photon correlation, and belongs to the field of quantum sensing.
Technical Field
Vortex beam is a special light field with spiral phase wave front, the phase distribution function of the light field is exp (il theta), each photon of the light field carries specific orbital angular momentumWhere l is called topological charge and θ is azimuth. For partially coherent light with poor coherence, there is generally no light vortex with zero intensity, but there is a coherent vortex with zero spectral coherence or mutual coherence function. The topology charge of the coherent vortex has important application prospect in optical tweezers, laser communication and quantum cryptography systems. Orbital angular momentum state |l of photon>Having completeness, orthogonality and infinite dimensions, has been demonstrated as an effective degree of freedom for high-dimensional hilbert spatial quantum information applications (see academic paper Franke-Arnold S, allen L, padgett m. Advances in optical angular momentum. Laser Photon Rev 2008; 2:299-313.).
Two-photon entanglement means that two photons are related to each other in a delocalized fashion, and when one of the photons changes, the other photon changes accordingly, regardless of the conditions. Entangled two-photon wave functions are reciprocal dry functions of quantum morphology and therefore can be used to reflect coherent vortices in the two-photon entangled state (see academic paper Li-Gang Wang et al, ABCD law of two-mode Gaussian-entangled light fields in linear optical systems, optics Communications 284 (2011) 5860-5865). Two-photon correlated imaging is a novel imaging mechanism for obtaining an object diffraction image in an optical path without an object by utilizing quantum entanglement characteristics of a light source. Such correlated imaging, also known as ghosting, has found widespread use in the fields of distributed image processing, distributed sensing and communications.
The current method for measuring the optical vortex topological charge mainly comprises the following steps: interferometry and diffraction. When the coherence of the light source is reduced, the interferometry cannot accurately judge the topological load value. When the topological charge value of the light source is large, the resolution of the diffraction method is reduced. In addition, the above two methods use a pseudo-thermal laser as the light source. The thermal noise of the light source severely restricts the improvement of the accuracy of the measurement signal, so that the vortex topology information of the light source is difficult to accurately identify on the single photon level.
Disclosure of Invention
The invention aims at overcoming the defects of the prior art and provides a method for measuring coherent vortex topology charge based on two-photon correlation.
The aim of the invention is achieved by the following technical scheme. A method for measuring coherent vortex topological charge based on two-photon correlation comprises the following steps:
(1) Generating incoherent entangled photon pairs;
(2) Dividing the entangled photon pair into i photons and s photons by a beam splitter;
(3) The control computer enables s photons passing through the spatial light modulator to obtain vortex phase, then the optical signal is coupled to a single mode optical fiber, and single-point measurement is carried out by using an avalanche diode;
(4) The control computer makes the i photon passing through the spatial light modulator obtain specific amplitude and phase, then couples the optical signal to a single mode fiber, and makes single-point measurement by using an avalanche diode;
(5) Performing association calculation on the two paths of measured optical signals and recording the optical signals by a computer;
(6) By changing the transmission coefficient l of the spatial light modulator of the optical path where the i photon is located, the transmission coefficient corresponding to the maximum value in the output value is the vortex topology charge value of the s photon.
Incoherent entangled photon pairs employed in the present invention are produced by a dual mode laser.
The invention has the advantage that the vortex beam can be measured on the single photon level. The measurement result is visual, and the measurement range is large.
Drawings
FIG. 1 shows a schematic diagram used in one embodiment of the invention.
Detailed Description
The present invention will be described in further detail with reference to the following examples, which are illustrative of the present invention.
FIG. 1 is a schematic diagram for one embodiment of the present invention. It comprises the following steps: a dual mode correlated laser 1; a beam splitter 2; a first band-pass filter 3; a first spatial light modulator 4; a first computer 5; a second band-pass filter 6; a second spatial light modulator 7; a second computer 8; a first lens 9; a first single mode optical fiber 10; a first avalanche photodiode 11; a second lens 12; a second single mode optical fiber 13; a second avalanche photodiode 14; an association counter 15; and a third computer 16.
Referring to fig. 1, a two-photon correlation-based coherent vortex topology charge measurement method comprises the following working steps:
1. the dual-mode correlated laser 1 generates gaussian entangled two-photon pairs; the wave function of the Gaussian entangled photon pair is:
ψ in (x 1 ,y 1 ；x 2 ,y 2 )＝G 0 exp[-2(x 1 2 +y 1 2 )/σ s 2 ]δ(x 1 -x 2 )δ(y 1 -y 2 )
wherein G is 0 Is constant, x 1 ，y 1 Is the transverse coordinate of one of the entangled photons, x 2 ，y 2 Is the transverse coordinate, sigma, of another entangled photon s Representing the radius of an output light spot of the laser; the Gaussian entangled photon pair is split into two photons through a beam splitter 2 and enters a transmission light path s and a reflection light path i of the beam splitter 2 respectively; the photon entering the beam splitter 2 transmission path s is called s photon, and the photon entering the beam splitter 2 transmission path i is called i photon;
2. the s photons enter the first spatial light modulator 4 after passing through the first band-pass filter 3; the distance between the beam splitter 2 and the first spatial light modulator 4 is q 1 The method comprises the steps of carrying out a first treatment on the surface of the The first spatial light modulator 4 is connected with the first computer 5, and under the control of the first computer 5, the s photons emitted from the first spatial light modulator obtain vortex phases with the topological charge of m;
3. the i photons enter a second spatial light modulator 7 after passing through a second band-pass filter 6; the distance between the beam splitter 2 and the first spatial light modulator 4 is q 1 And q 1 ＞q 2 The method comprises the steps of carrying out a first treatment on the surface of the The second spatial light modulator 7 is connected with the second computer 8, and makes the i photon emitted from the second spatial light modulator obtain a specific amplitude and phase under the control of the second computer 8; the transmission function of the second spatial light modulator 7 is:
where l is the transmission coefficient, p is a non-negative integer, v x Is the x-component, v of the transverse coordinates of the transmission function y Is the y component of the transverse coordinate of the transmission function, lambda is the wavelength of the incoherent entangled photon pair, H a () Representing hermite polynomial a as the corresponding order;
4. s photons emitted from the first spatial light modulator 4 are coupled into a first single mode optical fiber 10 through a first lens 9 and received by a first avalanche photodiode 11; z 1 Is the distance of the first spatial light modulator 4 to the first lens 9 and satisfies q 2 -q 1 ＝z 1 ；
5. The i photons emitted from the second spatial light modulator 7 are coupled into a second single mode optical fiber 13 through a second lens 12 and received by a second avalanche photodiode 14;
6. the output signals of the first avalanche photodiode 11 and the second avalanche photodiode 14 enter an associated counter 15 and are recorded by a third computer 16;
7. changing the coefficient l of the transmission function of the second spatial light modulator 7 by the second computer 8 and recording the output value of the correlation counter 15; when the correlation counter 15 obtains the maximum output signal, the transmission coefficient l obtained by the second spatial light modulator 7 is the vortex topology load value m of s photons;
8. the output value of the correlation counter 15 is a first-order correlation signal of i photons and s photons:
where n and m are non-negative integers, δ () is a dirac function, l is the transmission coefficient of the second spatial light modulator 7, and m is the vortex topology charge value of s photons.
Claims (3)
1. The method for measuring the coherent vortex topological charge based on the two-photon correlation is characterized by comprising the following steps of:
(1) Incoherent entangled photon pairs are split into two photons by a beam splitter (2) and respectively enter a transmission light path s and a reflection light path i of the beam splitter (2); photons entering the beam splitter (2) transmission path s are called s photons, photons entering the beam splitter (2) reflection path i are called i photons;
(2) The s photons enter a first spatial light modulator (4) after passing through a first band-pass filter (3); the distance between the beam splitter (2) and the first spatial light modulator (4) is q 1 The method comprises the steps of carrying out a first treatment on the surface of the The first spatial light modulator (4) is connected with the first computer (5) and enables s photons emitted from the first spatial light modulator to obtain vortex phases with a topological charge of m under the control of the first computer (5);
(3) The i photons enter a second spatial light modulator (7) after passing through a second band-pass filter (6); beam splitter (2) and second spatial light modulationThe distance between the generators (7) is q 2 And q 2 ＞q 1 The method comprises the steps of carrying out a first treatment on the surface of the The second spatial light modulator (7) is connected with a second computer (8) and enables i photons emitted from the second spatial light modulator to obtain specific amplitude and phase under the control of the second computer (8);
(4) S photons emitted from the first spatial light modulator (4) are coupled into a first single mode optical fiber (10) through a first lens (9) and received by a first avalanche photodiode (11); z 1 Is the distance from the first spatial light modulator (4) to the first lens (9) and satisfies q 2 -q 1 ＝z 1 ；
(5) The i photons emitted from the second spatial light modulator (7) are coupled into a second single mode optical fiber (13) through a second lens (12) and received by a second avalanche photodiode (14);
(6) The output signals of the first avalanche photodiode (11) and the second avalanche photodiode (14) enter an associated counter (15) and are recorded by a third computer (16);
(7) Changing the coefficients l of the transmission function of the second spatial light modulator (7) with a second computer (8) and recording the output value of the associated counter (15); when the correlation counter (15) obtains a maximum output signal, the transmission coefficient l obtained by the second spatial light modulator (7) is the vortex topology charge value m of s photons; the transmission function of the second spatial light modulator (7) is:
wherein l is the transmission coefficient of the second spatial light modulator (7), j is the imaginary unit, p is a non-negative integer, v x Is the x-component, v of the transverse coordinates of the transmission function y Is the y component of the transverse coordinate of the transmission function, lambda is the wavelength of the incoherently entangled photon pair, H a () Represents an hermite polynomial, wherein the subscript a represents the order; sigma (sigma) s Is the spot radius of the laser output beam.
2. The method of claim 1, wherein the incoherent entangled photon pair is generated by a dual mode correlated laser with a wave function of:
ψ in (x 1 ,y 1 ；x 2 ,y 2 )＝G 0 exp[-2(x 1 2 +y 1 2 )/σ s 2 ]δ(x 1 -x 2 )δ(y 1 -y 2 )
wherein G is 0 Is constant, x 1 ，y 1 Is the transverse coordinate of one of the entangled photons, x 2 ，y 2 Is the transverse coordinate, sigma, of another entangled photon s Representing the spot radius of the laser output beam.
3. A method of measuring coherent vortex topology charges based on two-photon correlation according to claim 1, characterized in that the output value of the correlation counter (15) is a first order correlation signal of i photons and s photons:
where n and p are non-negative integers, δ () is a dirac function, l is the transmission coefficient of the second spatial light modulator (7), and m is the vortex topology charge value of s photons.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711181534.9A CN107941353B (en) | 2018-03-06 | 2018-03-06 | Two-photon correlation-based coherent vortex topology charge measurement method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201711181534.9A CN107941353B (en) | 2018-03-06 | 2018-03-06 | Two-photon correlation-based coherent vortex topology charge measurement method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN107941353A CN107941353A (en) | 2018-04-20 |
| CN107941353B true CN107941353B (en) | 2024-01-09 |
Family
ID=61930931
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201711181534.9A Active CN107941353B (en) | 2018-03-06 | 2018-03-06 | Two-photon correlation-based coherent vortex topology charge measurement method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN107941353B (en) |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110187487B (en) * | 2019-06-13 | 2021-07-27 | 福建师范大学 | Single-wavelength two-photon STED and dual-wavelength single-photon STED coupling imaging device and method |
| CN110441787A (en) * | 2019-08-23 | 2019-11-12 | 中国科学院重庆绿色智能技术研究院 | A kind of quantum radar method for realizing three-dimensional accuracy enhancing |
| CN110441262A (en) * | 2019-08-28 | 2019-11-12 | 中国地质大学（北京） | A kind of non-localized phase object edge enhancing method and its system |
Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102944312A (en) * | 2012-11-23 | 2013-02-27 | 苏州大学 | Method for measuring partially coherent vortex light beam topological charge number |
| CN103954367A (en) * | 2014-04-18 | 2014-07-30 | 河南科技大学 | Device for measuring fractional-order optical vortex topology charge values and measuring method thereof |
| CN104121996A (en) * | 2014-07-21 | 2014-10-29 | 河南科技大学 | Measuring device for measuring vortex light beam high-order topological charge |
| CN106932107A (en) * | 2017-04-07 | 2017-07-07 | 哈尔滨工业大学 | A kind of topological charge measurement apparatus based on far field construction principle |
| CN206583537U (en) * | 2017-01-20 | 2017-10-24 | 中国计量大学 | A kind of device of utilization light distribution information measurement Gaussian vortex light topological charge |
Family Cites Families (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| FR2989472B1 (en) * | 2012-04-13 | 2015-09-25 | Bioaxial | METHOD AND OPTICAL DEVICE |
-
2018
- 2018-03-06 CN CN201711181534.9A patent/CN107941353B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102944312A (en) * | 2012-11-23 | 2013-02-27 | 苏州大学 | Method for measuring partially coherent vortex light beam topological charge number |
| CN103954367A (en) * | 2014-04-18 | 2014-07-30 | 河南科技大学 | Device for measuring fractional-order optical vortex topology charge values and measuring method thereof |
| CN104121996A (en) * | 2014-07-21 | 2014-10-29 | 河南科技大学 | Measuring device for measuring vortex light beam high-order topological charge |
| CN206583537U (en) * | 2017-01-20 | 2017-10-24 | 中国计量大学 | A kind of device of utilization light distribution information measurement Gaussian vortex light topological charge |
| CN106932107A (en) * | 2017-04-07 | 2017-07-07 | 哈尔滨工业大学 | A kind of topological charge measurement apparatus based on far field construction principle |
Non-Patent Citations (2)
| Title |
|---|
| 涡旋光束拓扑荷值的干涉测量方法;周洋;李新忠;王静鸽;王辉;李贺贺;;河南科技大学学报(自然科学版);第37卷(第03期);全文 * |
| 涡旋光束轨道角动量干涉及检测的研究;柯熙政;胥俊宇;;中国激光;第43卷(第09期);全文 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN107941353A (en) | 2018-04-20 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN102944312B (en) | Method for measuring partially coherent vortex light beam topological charge number | |
| CN107941353B (en) | Two-photon correlation-based coherent vortex topology charge measurement method | |
| CN101634571B (en) | Optical pulse raster distributed fiber sensing device | |
| CN115494479B (en) | Single photon radar system based on pulse sequence extraction and 3D imaging method | |
| CN109000781B (en) | Device and method for measuring micro-vibration linear domain of structure | |
| CN108957471A (en) | Three-dimension measuring system based on FM-CW laser ranging | |
| CN210036591U (en) | Three-dimensional color dynamic imaging device based on frequency domain OCT technology | |
| CN207798009U (en) | A kind of device of the radial displacement sensing based on Gauss vortex light | |
| CN104515475A (en) | Blade tip clearance measuring system based on large-frequency-difference double-frequency laser phase distance measurement | |
| Kadambi et al. | Rethinking machine vision time of flight with GHz heterodyning | |
| CN109373910A (en) | A kind of surface nanometer-displacement device and method based on the asymmetric excitation of surface phasmon | |
| CN108931784A (en) | Three-dimension measuring system based on laser frequency scanning interferometer ranging | |
| CN105333815A (en) | Super lateral resolution surface three-dimensional online interference measuring system based on spectral dispersion line scanning | |
| CN203929213U (en) | A kind of multipoint mode laser-Doppler vibration measuring system | |
| CN102419247B (en) | High-precision detection device and method of reflection type optical fiber turbulence | |
| CN102506706A (en) | Portable optical fiber interference three-dimensional coordinate measurement machine and three-dimensional coordinate measurement method | |
| CN201463847U (en) | Two-dimensional small-angle measuring device based on shape of interference fringe | |
| CN109084884B (en) | Homodyne laser vibration measurement device and vibration detection method thereof | |
| CN100576133C (en) | Space integral electron hole pair correlator | |
| CN203365311U (en) | Spectral domain OCT (optical coherence tomography) full-scale imaging system based on mobile optical grating and spacial carrier frequency | |
| CN104729424B (en) | Confocal dot laser microscope and its scan method based on self-mixed interference | |
| CN207557479U (en) | Low speckle noise laser Doppler speed measuring device based on confocal F-P cavity | |
| CN209055782U (en) | A kind of system of auto-focusing | |
| CN110763338B (en) | Energy feedback type hyperspectral imaging device based on acousto-optic tunable filter | |
| CN114295203A (en) | Vortex intensity measuring device and method for vortex light beam |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |