CN104121996A - Measuring device for measuring vortex light beam high-order topological charge - Google Patents
Measuring device for measuring vortex light beam high-order topological charge Download PDFInfo
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- CN104121996A CN104121996A CN201410346315.1A CN201410346315A CN104121996A CN 104121996 A CN104121996 A CN 104121996A CN 201410346315 A CN201410346315 A CN 201410346315A CN 104121996 A CN104121996 A CN 104121996A
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Abstract
A measuring device for measuring vortex light beam high-order topological charge is provide with a He-Ne laser device, wherein collimation and beam expanding devices are sequentially arranged in the light beam advancing direction of the laser device, a spatial light modulator where a forked phase hologram generated by a computer is input generates vortex light beams (shown in the description), and then the vortex light beams pass through a round hole diaphragm and a polarization beam splitter (shown in the description). The vortex light beams (shown in the description) passed through the polarization beam splitter (shown in the description) are divided into transmitting vortex light (shown in the description) and reflecting vortex light (shown in the description), the reflecting vortex light (shown in the description) and the transmitting vortex light (shown in the description) form an included angle of 90 degrees, the reflecting vortex light (shown in the description) advances and then is irradiated onto a reflecting mirror (shown in the description). The reflecting vortex light advances and then passes through a Dove prism to serve as mirror image light beams of the vortex light beams and to be irradiated onto the polarization beam splitter (shown in the description), and the transmitting vortex light (shown in the description) passes through the reflecting mirror (shown in the description) and then serves as the vortex light beams (shown in the description) to be irradiated onto the polarization beam splitter (shown in the description). The vortex light beams (shown in the description) and the mirror image light beams of the vortex light beams pass through the polarization beam splitter (shown in the description) and then are combined to form an interference-superimposed vortex light beam. The interference-superimposed vortex light beam passes through a convergent lens and then enters a CCD camera to be imaged, and then an image is stored in the computer. The device achieves measurement of the vortex light beam high-order topological charge and has the advantages of being simple, quick and accurate.
Description
Technical field
The present invention relates to a kind of device of measuring vortex beams higher order topology lotus, just relate to specifically a kind of device that improves Mach Zeng Deer interference technique measurement higher order topology lotus that utilizes.
Background technology
Vortex beams has before helicon wave and its central light strength is zero, the phase factor that its expression formula contains exp (il θ), and each photon carries
orbital angular momentum, wherein l is exactly topological charge.The orbital angular momentum of optical eddy is at light tweezer, optics spanner, and there is important application in the fields such as quantum information coding.What therefore the measurement of topological charge just showed is particularly important.By literature search, paper " Characterizing topological charge of optical vortices by using an annular aperture " [
opt. Lett. 34(23), 3686-3688 (2009)], vortex beams illumination circular hole diaphragm, after Fourier transform, surveying maximum topological charge value by several bright ring numbers is 9; Paper " Measuring the topological charge of an optical vortex by using a tilted convex lens " [
phys. Lett. A. 377(15), 1154-1156 (2013)], vortex beams is after batter post lens, and it is 14 that bright fringes number subtracts a maximum topological charge value obtaining.The topological charge value method that these methods are surveyed is simple, easy to operate, but the measurement range of higher order topology lotus is less, is sometimes difficult to reach application requirements.
Analyze knownly, in existing disclosed documents and materials, aspect the measuring method of vortex beams higher order topology lotus, the scope of the topological charge of surveying is still less, still lacks method simple, can measure the apparatus and method of topological charge on a large scale simultaneously.
Summary of the invention
To the object of the invention is the deficiency in order solving the problems of the technologies described above, a kind of measurement mechanism of measuring vortex beams higher order topology lotus to be provided, realize measurement to vortex beams higher order topology lotus, and have simply, advantage fast and accurately.
The present invention is the deficiency in order to solve the problems of the technologies described above, the technical scheme adopting is: a kind of measurement mechanism of measuring vortex beams higher order topology lotus, be provided with He-Ne laser instrument, light beam working direction at this laser instrument is provided with collimator and extender device successively, the spatial light modulator of the fork-shaped phase hologram input that computing machine generates, generates vortex beams
, then pass through circular hole diaphragm, polarization beam apparatus
; Through polarization beam apparatus
after, vortex beams
be divided into transmission vortex light
with reflection vortex light
, reflection vortex light
with transmission vortex light
become 90
oangle, reflection vortex light
after advancing, impinge upon catoptron
on; After readvancing, impinge upon polarization beam apparatus through Dove prism as the mirror image light beam of vortex beams
upper, and transmission vortex light
through catoptron
afterwards as vortex beams
impinge upon polarization beam apparatus
on; Vortex beams
with its mirror image light beam through polarization beam apparatus
the vortex beams of a rear synthetic beam interferometer stack; Interfere stack vortex beams after convergent lens, to enter CCD camera imaging, be then stored into computing machine.
Use procedure of the present invention, concrete steps are as follows:
(1) by the He-Ne laser instrument of 632.8nm, collimator and extender device, spatial light modulator, circular hole diaphragm, polarization beam apparatus
, catoptron
, catoptron
, Dove prism, polarization beam apparatus
, convergent lens, CCD camera and computing machine arrange optical path above described in installing;
(2) blazed grating and the stack of Laguerre-Gauss vortex beams generate fork-shaped phase calculation hologram, and hologram is input in spatial light modulator;
(3) open He-Ne laser power supply, He-Ne laser instrument sends fundamental-mode gaussian beam and injects in spatial light modulator after beam-expanding collimation device, and Laguerre-Gauss vortex beams is divided into transmission vortex light through polarization beam apparatus
with reflection vortex light
, wherein reflect vortex light
become the mirror image light beam of vortex beams through Dove prism, vortex beams
with its mirror image beam interference, utilize CCD cameras record interference image, be stored into computing machine;
(4) then, realize the measurement to higher order topology lotus by the petal number of several interferograms, wherein petal number is 2 times of topological charge number.
(5) final, by once arranging light path, realize the measurement of vortex beams higher order topology lotus.
Principle of work of the present invention:
The complex amplitude of Laguerre Gauss vortex beams is,
（1）
In formula, w
0be waist radius, l is topological charge value.The field intensity of its conjugation light beam is,
（2）
After Laguerre Gauss vortex beams and its mirror image beam interference, the intensity distributions of CCD cameras record is,
（3）
Interfere petal figure to have the symmetrical structure of circle, by the cosine FUNCTION MODULATION in formula.In order to calculate the angle between two petals, demand is about single order local derviation and the second order local derviation of θ,
（4）
（5）
According to formula (4) and (5), obtain the angle between two petals,
（6）
According to equation (6), it is upper that petal is evenly distributed in circle, and around interference light intensity petal, figure is rotated counterclockwise one week, can obtain the relation between petal number and topological charge,
（7）
Finally, by the petal number of several interference light intensity figure, realized the measurement to vortex beams higher order topology lotus.
Compared with conventional art, advantage of the present invention: the present invention can once arrange light path, by the petal number of several interference light intensity figure, realizes the measurement to vortex beams higher order topology lotus value.Measuring topological charge value and can reach 90, is 6 times of left and right that additive method is surveyed topological charge scope; And have simply, feature accurately, can be widely used in the field such as light tweezer, optics spanner.
Brief description of the drawings
Fig. 1 is structural representation of the present invention.
Mark in figure: 100, He-Ne laser instrument, 110, collimator and extender device, 200, spatial light modulator, 120, circular hole diaphragm, 131, polarization beam apparatus
, 141, catoptron
, 142, catoptron
, 150, Dove prism, 132, polarization beam apparatus
, 160, convergent lens, 300, CCD camera, 400, computing machine.
Specific embodiments
Below in conjunction with example, the invention will be further described.
As shown in the figure, the present invention is a kind of measurement mechanism of measuring vortex beams higher order topology lotus, being provided with wavelength is the He-Ne laser instrument 100 of 632.8nm, the fundamental-mode gaussian beam working direction of He-Ne laser instrument 100 is provided with the spatial light modulator 200 that collimator and extender device 110, fork-shaped computed hologram write successively, generates vortex beams
; Then pass through circular hole diaphragm 120, polarization mark device
131; Through polarization mark device
after 131, vortex beams
be divided into transmission vortex light
with reflection vortex light
, reflection vortex light
with transmission vortex light
become 90
oangle, reflection vortex light
through catoptron
after 141, then inject polarization mark device through Dove prism 150 as the mirror image light beam of vortex beams
in 132; Transmission vortex light
through catoptron
after 142, as vortex beams
inject polarization mark device
in 132; Then, mirror image light beam and the vortex beams of vortex beams
interfere;
Interference light enters 300 imagings of CCD camera after plus lens, is then stored into computing machine 400.
The polarization beam apparatus arranging in the present invention
131, catoptron
141, Dove prism 150, catoptron
142 and polarization beam apparatus
132 form improved Mach Zeng Deer optical interference circuit, and interfering beam is from polarization mark device
after 132 outgoing, after convergent lens is assembled, directly enter 300 imagings of CCD camera, be then input to computing machine 400.
Use the measuring method of this device, its concrete steps are as follows:
Step 1, by He-Ne laser instrument 100, collimator and extender device 110, spatial light modulator 200, circular hole diaphragm 120, polarization beam apparatus
131, catoptron
141, catoptron
142, Dove prism 150, polarization mark device
132, convergent lens 160, CCD camera 300 and computing machine 400 arrange optical path according to described in vortex beams higher order topology lotus measurement mechanism above;
Step 2, the fork-shaped computer hologram that computing machine is generated are written in spatial light modulator 200, and fork-shaped computer hologram is formed by the Phase Stacking of blazed grating and Laguerre Gaussian beam;
Step 3, open He-Ne laser instrument 100 power supplys, laser instrument 100 sends fundamental-mode gaussian beam, enters into spatial light modulator 200 through beam-expanding collimation device 110, from spatial light modulator 200 outgoing, forms vortex beams
;
Step 4, vortex beams
through polarization beam apparatus
after 131 beam splitting as transmission vortex light
with reflection vortex light
pass through respectively catoptron
141 and catoptron
142; Wherein reflect vortex light
after Dove prism, become the mirror image light beam of vortex beams, and transmission vortex light
as vortex beams
together enter polarization beam apparatus with mirror image light beam
132 interfere, and CCD camera 300 records interfering beam, is stored into computing machine 400;
Step 5, then, the petal number of number interfering beams, according to formula
, petal number is two times of topological charge number, just can determine the topological charge value of vortex beams by several petal numbers.
Finally, by once arranging light path, realized the measurement to vortex beams higher order topology lotus.
Claims (2)
1. measure the measurement mechanism of vortex beams higher order topology lotus for one kind, it is characterized in that: be provided with He-Ne laser instrument (100), be provided with successively in the fundamental-mode gaussian beam working direction of this He-Ne laser instrument (100) spatial light modulator (200) that collimator and extender device (110), fork-shaped computed hologram write, generate vortex beams
; After through circular hole diaphragm (120), polarization beam apparatus
(131); Through polarization beam apparatus
(131) after, vortex beams
be divided into transmission vortex light
with reflection vortex light
, reflection vortex light
through catoptron
(141) inject polarization beam apparatus as the mirror image light beam of vortex beams afterwards, then through Dove prism (150)
(132) in; Transmission vortex light
through catoptron
(142) afterwards, as vortex beams
inject polarization beam apparatus
(132) in; Then, mirror image light beam and the vortex beams of vortex beams
interfere;
Interference light enters CCD camera (300) imaging after convergent lens (160), is then stored into computing machine (400).
2. a kind of measurement mechanism of measuring vortex beams higher order topology lotus according to claim 1, is characterized in that: described reflection vortex light
with transmission vortex light
become 90
oangle.
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| CN105444896A (en) * | 2015-11-30 | 2016-03-30 | 河南科技大学 | Vortex light beam topology charge measuring method based on hexagram hole diffraction |
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| CN114785422B (en) * | 2022-04-15 | 2024-01-19 | 西安理工大学 | System for radial polarized vortex beam interference is transmitted under water |
| CN117705304A (en) * | 2023-12-11 | 2024-03-15 | 中国地质大学（武汉） | Vortex beam topology charge number measuring system, method, device, equipment and medium |
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