CN105115607A - Apparatus of using cross double slit interference to measure vortex light beam topology load value and method thereof - Google Patents

Apparatus of using cross double slit interference to measure vortex light beam topology load value and method thereof Download PDF

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CN105115607A
CN105115607A CN201510485744.1A CN201510485744A CN105115607A CN 105115607 A CN105115607 A CN 105115607A CN 201510485744 A CN201510485744 A CN 201510485744A CN 105115607 A CN105115607 A CN 105115607A
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polaroid
light beam
beam splitter
computing machine
vortex beams
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CN105115607B (en
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李贺贺
李新忠
王静鸽
李秋泽
甄志强
陈庆东
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Henan University of Science and Technology
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Abstract

An apparatus of using cross double slit interference to measure a vortex light beam topology load value comprises a He-Ne laser. A collimation beam expander, a polaroid I and a beam splitter are successively arranged along a forward direction of a light beam emitted by the He-Ne laser. One side of the beam splitter is provided with a reflection-type spatial light modulator of a loaded calculating holographic sheet. An optical path of the other side of the beam splitter, which is opposite to the reflection-type spatial light modulator, is successively provided with a Polaroid II, a circular hole diaphragm, a polaroid III, a transmission-type spatial light modulator, a Polaroid IV, an imaging lens and a CCD camera. The apparatus and the method has the following advantages that through analyzing a vortex light beam interference light intensity, accurate measurement of the vortex light beam topology load value is realized; operation is simple and easy; a detected light intensity change rule and the topology load value have a direct corresponding relation; a data processing program is simple and an application is wide; and the optical path is concise, rapid and accurate.

Description

Intersection two-slit interference is utilized to measure the device and method of vortex beams topology charge values
Technical field
The present invention relates to technical field of optical test, specifically utilize intersection two-slit interference to measure the apparatus and method of vortex beams topology charge values.
Background technology
Vortex beams has the phase front of screw type, and have the phase factor with exp (il θ), wherein θ is position angle, and l is the topological charge number of vortex beams, or is orbital angular momentum quantum number, the orbital angular momentum that each photon has.Due to vortex beams this special bit phase structure and there is the feature of orbital angular momentum, make vortex beams have important and wide application prospect in fields such as optical measurement, the micro-manipulation of optics, quantum information coding, optical communication, light tweezer and optical wrench, become optical field very important study hotspot in recent years.
Topological charge number l is the Important Parameters characterizing vortex beams, so the surveying work of vortex beams topological charge just seems particularly important.At present, the method measuring vortex beams topology charge values is divided into two classes, interferometry and diffractometry method substantially.Interferometry mainly contains Mach-Zehnder interferometric method, two-slit interference method etc.; Diffractometry method mainly contains the methods such as delthyrium diffraction, annular aperture diffraction, single slit diffraction.These two kinds of methods are all utilize interference or the space distribution rule of diffraction intensity or the relation between evolution and topological charge values to measure topological charge values.These methods have certain advantage, but also have certain deficiency, and the interference pattern distribution of such as angle double slit is not obvious, and the change of light intensity can not obtain topological charge value information visual in imagely.
Therefore, how realizing the measurement that topological charge values carries out visual pattern is this technical field of measurement and test one of facing technical matters urgently to be resolved hurrily.
Summary of the invention
Technical matters to be solved by this invention is to provide the apparatus and method utilizing intersection two-slit interference to measure vortex beams topology charge values, realizes carrying out optical eddy topology charge values visual in imagely and measures.
The present invention for solving the problems of the technologies described above adopted technical scheme is: utilize intersection two-slit interference to measure the device of vortex beams topology charge values, comprise He-Ne laser instrument, the working direction sending light beam at this He-Ne laser instrument is provided with collimator and extender device successively, polaroid I and beam splitter, the side of beam splitter is provided with the reflective spatial light modulator of loading calculation hologram sheet, the opposite side light path of the beam splitter relative with reflective spatial light modulator is provided with polaroid II successively, circular hole diaphragm, polaroid III, transmissive spatial photomodulator, polaroid IV, imaging len and CCD camera, the light beam sent by He-Ne laser instrument is successively through collimator and extender device, transmitted light beam and folded light beam is divided into after polaroid I and beam splitter, folded light beam is radiated on the reflective spatial light modulator of loading calculation hologram sheet, and produce vortex beams with reflection mode, vortex beams vortex beams direct irradiation is on polaroid II, after polaroid II, circular hole diaphragm is utilized to intercept the vortex beams on+1 rank, after polaroid III, enter the transmissive spatial photomodulator loading intersection double slit, again through polaroid IV and imaging len, enter CCD camera record intensity signal, described reflective spatial light modulator, transmissive spatial photomodulator is all connected with computing machine with CCD camera, the light intensity data of its record is by computing machine control treatment.
Utilize intersection two-slit interference to measure the method for vortex beams topology charge values, comprise the following steps:
Step one: select suitable He-Ne laser instrument, collimator and extender device, polaroid I, polaroid II, polaroid III and polaroid IV, beam splitter, reflective spatial light modulator, circular hole diaphragm, transmissive spatial photomodulator, imaging len, CCD camera, computing machine, arrange optical path;
Step 2: utilize computer holography to generate fork-shaped hologram, write reflective spatial light modulator by computing machine; Utilize the intersection double slit that Matlab Software on Drawing angle develops from 0 to 2 π, by computing machine write transmissive spatial photomodulator;
Step 3: open He-Ne laser instrument, the light beam sent by He-Ne laser instrument, after collimator and extender device and polaroid I, is radiated on beam splitter, and light beam is divided into folded light beam and transmitted light beam by beam splitter;
Step 4: the folded light beam described in step 3 is radiated on reflective spatial light modulator, demodulates vortex beams to be measured;
Step 5: the vortex beams demodulated in step 4 is through polaroid II, circular hole diaphragm is utilized to select+1 order diffraction of vortex beams, irradiate after polaroid III into transmissive spatial photomodulator, after intersection two-slit interference, enter CCD camera through polaroid IV and imaging len, the interference image intensity signal of intersection double slit is stored into computing machine;
Step 6: utilize Computer Analysis to intersect double slit angle from the light intensity Evolutionary Cycles 0 to 2 π change procedures, its light intensity Evolutionary Cycles number is topological charge values;
Step 7: by computing machine by double slit wherein one seam add pi/2 phase, repeat above-mentioned steps, utilize CCD camera record light intensity Evolution;
Step 8: contrast the light intensity Evolution in step 6 and step 7, develops delayed if step 7 gained light intensity develops compared to the light intensity of step 6, is then positive vortex, otherwise is negative.
The invention has the beneficial effects as follows: apparatus of the present invention and method utilize the analysis to vortex beams interference light intensity, realize the Measurement accuracy of vortex beams topology charge values, operation is simple, direct corresponding relation is had between detected light intensity Changing Pattern and topological charge values, data processor is simple, be widely used, and have light path succinctly, feature fast and accurately.
Accompanying drawing explanation
Fig. 1 is general flow chart of the present invention;
Fig. 2 is the intersection double slit figure be carried on transmissive spatial photomodulator 9.
1, He-Ne laser instrument, 2, collimator and extender device, 3, polaroid I, 4, beam splitter, 5, reflective spatial light modulator, 6, polaroid II, 7, circular hole diaphragm, 8, polaroid III, 9, transmissive spatial photomodulator, 10, polaroid IV, 11, imaging len, 12, CCD camera, 13, computing machine;
In Fig. 2, α is for intersecting double slit angle, and in measuring process, angle is increased to from 0.
Embodiment
Intersection two-slit interference is utilized to measure the device of vortex beams topology charge values, comprise He-Ne laser instrument 1, the working direction sending light beam at this He-Ne laser instrument 1 is provided with collimator and extender device 2 successively, polaroid I 3 and beam splitter 4, the side of beam splitter 4 is provided with the reflective spatial light modulator 5 of loading calculation hologram sheet, the opposite side light path of the beam splitter 4 relative with reflective spatial light modulator 5 is provided with polaroid II 6 successively, circular hole diaphragm 7, polaroid III 8, transmissive spatial photomodulator 9, polaroid IV 10, imaging len 11 and CCD camera 12, the light beam sent by He-Ne laser instrument 1 is successively through collimator and extender device 2, transmitted light beam and folded light beam is divided into after polaroid I 3 and beam splitter 4, folded light beam is radiated on the reflective spatial light modulator 5 of loading calculation hologram sheet, and produce vortex beams with reflection mode, vortex beams direct irradiation is on polaroid II 6, after polaroid II 6, circular hole diaphragm 7 is utilized to intercept the vortex beams on+1 rank, after polaroid III 8, enter the transmissive spatial photomodulator 9 loading intersection double slit, again through polaroid IV 10 and imaging len 11, enter CCD camera 12 and record intensity signal, described reflective spatial light modulator 5, transmissive spatial photomodulator 9 is all connected with computing machine 13 with CCD camera 12, the light intensity data of its record is by computing machine 13 control treatment.
Utilize intersection two-slit interference to measure the method for vortex beams topology charge values, comprise the following steps:
Step one: select suitable He-Ne laser instrument 1, collimator and extender device 2, polaroid I 3, polaroid II 6, polaroid III 8 and polaroid IV 10, beam splitter 4, reflective spatial light modulator 5, circular hole diaphragm 7, transmissive spatial photomodulator 9, imaging len 11, CCD camera 12, computing machine 13, arrange optical path;
Step 2: utilize computer holography to generate fork-shaped hologram, write reflective spatial light modulator 5 by computing machine 13; The intersection double slit utilizing Matlab Software on Drawing angle to develop from 0 to 2 π, writes transmissive spatial photomodulator 9 by computing machine 13;
Step 3: open He-Ne laser instrument 1, the light beam sent by He-Ne laser instrument 1 is after collimator and extender device 2 and polaroid I 3, and be radiated on beam splitter 4, light beam is divided into folded light beam and transmitted light beam by beam splitter 4;
Step 4: the folded light beam described in step 3 is radiated on reflective spatial light modulator 5, demodulates vortex beams to be measured;
Step 5: the vortex beams demodulated in step 4 is through polaroid II 6, circular hole diaphragm 7 is utilized to select+1 order diffraction of vortex beams, irradiate after polaroid III 8 into transmissive spatial photomodulator 9, after intersection two-slit interference, enter CCD camera 12 through polaroid IV 10 and imaging len 11, the interference image intensity signal of intersection double slit is stored into computing machine 13;
Step 6: utilize computing machine 13 analysis to intersect double slit angle from the light intensity Evolutionary Cycles 0 to 2 π change procedures, its light intensity Evolutionary Cycles number is topological charge values;
Step 7: by computing machine 13 by double slit wherein one seam add pi/2 phase, repeat above-mentioned steps, utilize CCD camera 12 to record light intensity Evolution;
Step 8: contrast the light intensity Evolution in step 6 and step 7, develops delayed if step 7 gained light intensity develops compared to the light intensity of step 6, is then positive vortex, otherwise is negative.
Measuring principle of the present invention is:
Suppose there is a vortex beams propagated along z-axis, vortex optical field distribution E can be expressed as
E=Aexp(ilθ)(1)
Wherein, A is amplitude, and l is the topological charge values of vortex beams;
The double slit angle that intersects is α, sews on and respectively gets a bit, be designated as Q respectively at two 1and Q 2, vortex beams is after intersection double slit, and the light intensity I that interference produces is
| Q 1p|-|Q 2p| is the optical path difference of double slit to observation point, and λ is optical wavelength.Choose arbitrary bright rays joining, its optical path difference is
|Q 1P|-|Q 2P|=Nλ(3)
Then light intensity I can be written as
I=2A 2[1+2cos(lα)](4)
Utilize formula (4) to know, when intersection double slit angle α is from 0 to change procedure, light intensity I presents periodic change, and period of change number and topological charge number are just equal.
For determining the symbol of topological charge values, can wherein one sew on and add phase place, intensity distributions now can be expressed as
Formula (5) is utilized to know, for the vortex beams that topological charge values same-sign is different, have certain hysteresis quality compared with the result that light intensity change and formula (4) that formula (5) reflects obtain, this is because the introducing of additive phase produces.The symbol of topological charge values can be judged thus: wherein one sew on and add phase place after, light intensity Evolution with do not add compared with phase place delayed, then topological charge values symbol is just, otherwise is negative.

Claims (2)

1. utilize intersection two-slit interference to measure the device of vortex beams topology charge values, it is characterized in that: comprise He-Ne laser instrument (1), the working direction sending light beam at this He-Ne laser instrument (1) is provided with collimator and extender device (2) successively, polaroid I (3) and beam splitter (4), the side of beam splitter (4) is provided with the reflective spatial light modulator (5) of loading calculation hologram sheet, the opposite side light path of the beam splitter (4) relative with reflective spatial light modulator (5) is provided with polaroid II (6) successively, circular hole diaphragm (7), polaroid III (8), transmissive spatial photomodulator (9), polaroid IV (10), imaging len (11) and CCD camera (12), the light beam sent by He-Ne laser instrument (1) is successively through collimator and extender device (2), transmitted light beam and folded light beam is divided into after polaroid I (3) and beam splitter (4), folded light beam is radiated on the reflective spatial light modulator (5) of loading calculation hologram sheet, and produce vortex beams with reflection mode, vortex beams direct irradiation is on polaroid II (6), after polaroid II (6), circular hole diaphragm (7) is utilized to intercept the vortex beams on+1 rank, after polaroid III (8), enter the transmissive spatial photomodulator (9) loading intersection double slit, again through polaroid IV (10) and imaging len (11), enter CCD camera (12) record intensity signal, described reflective spatial light modulator (5), transmissive spatial photomodulator (9) is all connected with computing machine (13) with CCD camera (12), the light intensity data of its record is by computing machine (13) control treatment.
2. utilize intersection two-slit interference to measure the method for vortex beams topology charge values, it is characterized in that: comprise the following steps:
Step one: select suitable He-Ne laser instrument (1), collimator and extender device (2), polaroid I (3), polaroid II (6), polaroid III (8) and polaroid IV (10), beam splitter (4), reflective spatial light modulator (5), circular hole diaphragm (7), transmissive spatial photomodulator (9), imaging len (11), CCD camera (12), computing machine (13), arrange optical path;
Step 2: utilize computer holography to generate fork-shaped hologram, write reflective spatial light modulator (5) by computing machine (13); Utilize the intersection double slit that Matlab Software on Drawing angle develops from 0 to 2 π, by computing machine (13) write transmissive spatial photomodulator (9);
Step 3: open He-Ne laser instrument (1), the light beam sent by He-Ne laser instrument (1) is after collimator and extender device (2) and polaroid I (3), and be radiated on beam splitter (4), light beam is divided into folded light beam and transmitted light beam by beam splitter (4);
Step 4: the folded light beam described in step 3 is radiated on reflective spatial light modulator (5), demodulates vortex beams to be measured;
Step 5: the vortex beams demodulated in step 4 is through polaroid II (6), circular hole diaphragm (7) is utilized to select+1 order diffraction of vortex beams, irradiate after polaroid III (8) into transmissive spatial photomodulator (9), after intersection two-slit interference, enter CCD camera (12) through polaroid IV (10) and imaging len (11), the interference image intensity signal of intersection double slit is stored into computing machine (13);
Step 6: utilize computing machine (13) analysis to intersect double slit angle from the light intensity Evolutionary Cycles 0 to 2 π change procedures, its light intensity Evolutionary Cycles number is topological charge values;
Step 7: by computing machine (13) by double slit wherein a seam add pi/2 phase, repeat above-mentioned steps, utilize CCD camera (12) to record light intensity Evolution;
Step 8: contrast the light intensity Evolution in step 6 and step 7, develops delayed if step 7 gained light intensity develops compared to the light intensity of step 6, is then positive vortex, otherwise is negative.
CN201510485744.1A 2015-08-10 2015-08-10 Utilize the device and method for intersecting two-slit interference measurement vortex beams topology charge values Expired - Fee Related CN105115607B (en)

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CN111356957B (en) * 2017-11-16 2022-10-11 国立大学法人长冈技术科学大学 Light generating device, exposure device provided with light generating device, exposure system, light generating method, and method for producing exposed photoresist
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