CN107346043A - A kind of method of large scale regulation and control Airy beam transmission locus - Google Patents
A kind of method of large scale regulation and control Airy beam transmission locus Download PDFInfo
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- CN107346043A CN107346043A CN201710320057.3A CN201710320057A CN107346043A CN 107346043 A CN107346043 A CN 107346043A CN 201710320057 A CN201710320057 A CN 201710320057A CN 107346043 A CN107346043 A CN 107346043A
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- airy beam
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B5/00—Optical elements other than lenses
- G02B5/30—Polarising elements
- G02B5/3083—Birefringent or phase retarding elements
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/28—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
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Abstract
The present invention discloses a kind of method of large scale regulation and control Airy beam transmission locus.Definition of this method based on diffraction theory and Airy function, in the case of the center deviation fourier transform lenses optical axis of Airy beam cube phase-plate, derived the peak value track expression formula of Airy beam, it is determined that influence Airy beam transmission locus factor be：The focal length of Fourier transform lens, the transverse and longitudinal dislocation of phase mask plate center deviation fourier transform lenses optical axis.Cube phase mask plate of large scale is prepared by holographic miniature output system, increase the horizontal, longitudinally displaced of phase mask plate center deviation fourier transform lenses optical axis, it can realize and regulate and control Airy beam initial transmissions angle on a large scale, so as to realize a wide range of regulation and control Airy beam transmission locus.The present invention produces Airy beam using large-sized cube of phase mask plate, considerably increases the scope at Airy beam initial transmissions angle, and a kind of new scheme is provided for significantly regulation and control Airy beam transmission locus.
Description
Technical field
The present invention relates to a kind of transmission locus control technology of light beam, discloses a kind of large scale regulation and control Airy beam transmission
The method of track.Based on the definition for cube phase Fourier transform for producing Airy beam, in phase mask plate center deviation Fu
In the case of vertical leaf transformation lens axis, the peak value track of Airy beam is deduced.Theory deduction result shows that Fourier becomes
Change that the dislocation of lens axis and phase-plate center is bigger, Airy accelerates the transmission locus controlled range of light beam bigger.
The present invention utilizes the large-sized phase mask plate of hologram type fabrication techniques, can regulate and control Airy beam in a big way
Transmission locus.Flexibly controllable transmission locus, it is preferably applied for field of scientific study for Airy beam, there is provided more practical
The accelerated light source of property.
Background technology
Airy beam is a kind of new Beams.The novel characteristics of Airy beam are, its energy in communication process
Enough laterally accelerate, similar to the acceleration parabolic ballistic trajectory of bullet under gravity.The accelerating performance transmitted along serpentine track,
It can be applied to the various scientific domains such as particle microscopic manipulation.Different scientific experiments needs Airy beam along different curvilinear paths
Transmission, in recent years, people take various methods, realize the transmission locus control of Airy beam.
Zhang P etc. produce Airy plasmon with metallic film coupling grating and realize beam motion TRAJECTORY CONTROL
[Phys.Rev.Lett.,2007,99(21):213901], Ye Z etc. using change photoinduction crystal graded index gradient come
Change acceleration direction [Opt.Lett., 2011,36 (16) of Airy beam:3230], Liu W etc. are situated between by metal-electricity of wedge shape
Matter-metal structure produces linear photo potential and carries out track manipulation [Opt.Lett., 2011,36 (7) to Airy beam plasmon:
1164].Efremidis N K have studied characteristic that the Airy light velocity in different refractive index gradients transmits [Opt.Lett., 2011,
36(15):3006], the discovery such as Dolev I can produce Airy beam by non-linear photon crystal, change same nonlinear photon
The temperature of crystal can change phase-matching condition caused by second_harmonic generation and difference frequency, so as to change the acceleration side of output beam
To [Opt.Lett., 2010,35 (10):1581].
G.A.Siviloglou and Chen Z G etc. using fourier transform lenses, incident beam and phase modulation component it
Between center deviation method, give Airy beam to introduce initial transmissions angles, to realize the control to Airy beam transmission locus
[Opt.Lett.,2010,35(13):2260；Opt.Lett.,2008,33(3):207].This method is simple and effective, but due to
Traditional phase modulation component --- spatial light modulator size is limited, and the offset of introducing is smaller.This just greatly limit pair
The modification scope of Airy beam transmission locus.
The content of the invention
Using the method for center deviation between fourier transform lenses and phase modulation component, to realize that Airy beam is transmitted
TRAJECTORY CONTROL, be a kind of simple effective method, but traditional phase modulation component --- spatial light modulator (SLM) is limited
Size, limit the control range of Airy beam transmission locus.
The invention provides a kind of method of large scale regulation and control Airy beam transmission locus.Mainly utilize hologram type
Technology, large scale cube phase mask plate is made with holographic miniature output system, deviates optical axis center by phase mask plate
Method, deviation distance is bigger, and the initial transmissions angular transformation amplitude of Airy beam is bigger.Made of holographic miniature output system
Large scale cube phase mask plate, to realize the significantly regulation and control of Airy beam transmission locus, lay a good foundation.
The theoretical foundation of the technology of the present invention is as follows：
The method of classical generation Airy beam is to incide a cube phase mask plate with directional light, then through Fourier transform
Obtained after lens transformation.Using the optical axis of lens as z-axis, the Fourier transform process of cube phase mask plate, can mathematically be written as：
Wherein
U (ξ, η)=exp [ik φ (ξ, η)] (2)
(1) in formula, (ξ, η) and (x0,y0) it is cross sectional coordinate, k=2 π/λ are wave number.Z is with burnt after Fourier transform lens
Face is longitudinal transmission of coordinate of starting point.F is the focal length of Fourier transform lens.
(2) formula is that directional light incides the light beam vibration amplitude distribution after phase mask plate.
If phase mask plate center deviation fourier transform lenses optical axis, i.e. phase mask plate are centrally located at (ξ0,η0),
Then have
φ (ξ, η)=β [(ξ-ξ0)3/3+(η-η0)3/3]. (3)
(3) for formula to produce the phase distribution of Airy beam, wherein β is control constant.
The method that classics produce Airy beam, is required to phase mask plate center and optical axis coincidence, i.e., in phase mask plate
The heart is located at (0,0) place.
(3) formula brings (1) formula into again after bringing (2) formula into, can be obtained after integration
According to the definition of Airy function, it is known that | Ai (- 1.018) | it is Airy function maximum, by formula (4), Chinese mugwort can be tried to achieve
In the peak value track of light beam be
Order(5) formula of understanding is parabolic path, with Action of Gravity Field
The equation of locus of lower bullet is identical in form.With reference to the concept of classical mechanics, this light beam is defined as to accelerate light beam.
xA、θA、aAThe respectively initial position of the main frontier transmission locus of Airy beam, initial transmissions angle and acceleration.For
Given light beam (wavelength X is constant), the focal length f of fourier transform lenses determine the initial position of beam trajectory, just originated
Firing angle degree and acceleration.Work as ξ0=0, η0When=0, the initial transmissions angle for accelerating track is 0, is the transmission rail of classical Airy beam
Mark.
Formula (5) shows, θAAnd aAInfluence transmission locus.
In the case that Fourier transform lens determines, i.e. in the case that f is determined, aAIt is constant.In acceleration aACertain
In the case of, initial transmissions angle aABigger, the change of transmission locus is bigger.It can be drawn according to formula (5), focal length f and horizontal, longitudinal direction are partially
Shifting amount ξ0And η0It is to determine initial transmissions angle θATwo factors.For given Fourier transform lens, focal length f is to determine.
In the case that f is certain, change ξ0(η0) it is to change the single factor that Airy beam accelerates track.
But traditional phase modulation component SLM sizes are limited, therefore the modification scope of horizontal dislocation is extremely limited, i.e. ξ0(η0)
Span limited by SLM sizes.With the SLM (models of more conventional Holoeye companies：PLUTO-VIS-016 exemplified by),
Slm pixel number is 1920 × 1080pixel, and pixel dimension is 8 μm, and SLM modulation range is 15.36mm × 8.64mm, this meaning
The introducing that taste laterally (longitudinal direction) dislocation can not possibly exceed 7.68mm (4.32mm).Therefore, can not be introduced on a large scale using SLM
Regulation and control dislocation, the scope at control initial transmissions angle are extremely limited.
The present invention prepares large scale cube phase mask plate using holographic miniature output system.Holographic miniature output system group
Into mainly including high-resolution transmission-type SLM (1024 × 768pixel), miniature camera lens and digital control platform.Holographic miniature output
The operation principle of system, it is that hologram is divided into some width according to SLM pixel count, the hologram split passes through computer
Control SLM is shown frame by frame, then is sequentially imaged on photosensitive material the hologram optical system on SLM is miniature.Record figure
The photosensitive material of picture is arranged on numerical control stepping platform, and as hologram inputs one by one, stepping platform moves on X/Y plane, whole
Width hologram can be spliced.By the method for this splicing, the big hologram of high resolution, size can be obtained.System
The hologram image elemental size of output is 0.57 μm.Compared with the phase diagram of LCD space light modulator loading, what the system made
Phase diagram resolution ratio is maximum high up to 100mm × 100mm, diffraction efficiency up to 170lp/mm, processing dimension.This is just big to prepare
Yardstick cube phase mask plate is laid a good foundation.
Compared with LCD space light modulator maximum can only load 15.36mm × 8.64mm phase diagram, contracted using holography
Micro- output system can make the phase mask plate of more large scale (100mm × 100mm), and this is introduces big dislocation, so as to draw
Enter big initial transmissions angle, realize and significantly control Airy beam transmission locus, there is provided a kind of new scheme.
In addition, classical acceleration Airy beam, initial transmissions angle is 0.Initial transmissions angle is the transmission rail of 0 Airy beam
Flex point is not present in mark.Initial transmissions angle θAFor on the occasion of when, transmission locus has a flex point, and flex point is to accelerate light beam cut-through thing
There is flex point in the maximum position of ability, the introducing of positive initial velocity, the transmission locus of Airy beam.Corresponding transmission range is z0
=2 β f2ξ0, vertex value isThat is, by optical system parameter and dislocation value, it may be determined that corner position.
The technique effect of the present invention：
Large scale cube phase mask plate is made using holographic miniature output system, by significantly alterring phase mask plate
The position of center deviation fourier transform lenses optical axis, change the initial transmissions angle of light beam in a big way, so as to significantly regulate and control
The transmission locus of Airy beam.
Brief description of the drawings
The holographic miniature output systems of Fig. 1 prepare large scale cube phase mask plate schematic diagram.
Fig. 2 is produced and the experimental provision schematic diagram of regulation and control Airy beam transmission locus.
Embodiment
Below in conjunction with accompanying drawing, the present invention is further illustrated with embodiment.
Fig. 1 prepares large scale cube phase mask plate schematic diagram for holographic miniature output system.Including：Light source (1), expand
Colimated light system (2,3), SLM (4), miniature camera lens (5), recording medium (6), numerical control stepping platform (7).
It is as follows to test implementation process：
1st, light source (1) is directional light through beam-expanding collimation system (2,3) beam-expanding collimation, is incided on SLM (4).
2nd, system is loaded into hologram using SLM (4), and recording medium (6) is arrived by hologram is miniature by miniature lens (5)
On.
3rd, numerical control stepping platform (7) movable recording media (6) realizes the splicing to hologram, realizes to large scale Emission in Cubic
The preparation of position mask plate (6).
Fig. 2 is the method that large scale of the present invention regulates and controls Airy beam transmission locus, and experimental provision includes：Laser beam (8), expand
Beam colimated light system (9,10), phase mask plate (11), three-dimensional micro-displacement platform (12), Fourier transform lens (13), science CCD
Camera (14).
It is as follows to test implementation process：
1st, laser beam (8) incident cube phase mask after beam-expanding system (9,10 composition) carries out beam-expanding collimation to light beam
Plate (11).
2nd, cube phase mask plate (11), the wavefront distribution of modulated incident light beam.
3rd, the light beam after modulating uses scientific CCD camera after lens (13) Fourier transformation behind the focal plane of lens
(14) transmitting procedure of Airy beam track is recorded.
4th, micro-displacement platform (12) is adjusted, perpendicular to optical axis direction, move up and down phase mask plate, changes phase
The transverse and longitudinal of plate center and optical axis dislocation amplitude, so as to change the initial transmissions angle of light beam, realizes Airy beam transmission locus
Significantly regulate and control.
Claims (2)
- A kind of 1. method of large scale regulation and control Airy beam transmission locus, it is characterised in that：It is big based on hologram type fabrication techniques Size cube phase mask plate, by adjusting the skew of Fourier transform lens optical axis and phase-plate center, larger model on a large scale The initial transmissions angle for changing Airy beam is enclosed, so as to which the transmission locus that Airy accelerates light beam be varied and controlled on a large scale.
- 2. the method for large scale regulation and control Airy beam transmission locus according to claim 1, it is characterised in that this method Realization comprises the following steps that：(1) hologram type fabrication techniques large scale cube phase mask plate is utilized.(2) after laser bundle-enlarging collimation, it is incident to phase mask plate.Perpendicular to the direction of optical axis, using in micrometric displacement translational platform Under move left and right the position of phase mask plate, to change and control Airy to accelerate the transmission locus of light beam, realize to Airy beam The significantly control of track.(3) when changing the transversely or longitudinally skew of phase mask plate center deviation fourier transform lenses optical axis, both deviate Bigger, the initial transmissions angle change of light beam is bigger, and the track modification scope of Airy beam transmission is bigger.(4) when Airy beam initial transmissions angle be on the occasion of when, accelerating the transmission locus of light beam has a flex point.By phase mask The transversely or longitudinally dislocation of plate center deviation fourier transform lenses optical axis, it may be determined that accelerate the flex point position of beam Propagation track Put.
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Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108549160A (en) * | 2018-04-20 | 2018-09-18 | 北京工业大学 | A kind of device and method of continuous adjustment laser filament length |
| CN109799672A (en) * | 2019-03-26 | 2019-05-24 | 北京全欧光学检测仪器有限公司 | The non-detection device and method for improving imaging lens |
| CN109883656A (en) * | 2019-03-26 | 2019-06-14 | 北京全欧光学检测仪器有限公司 | The non-detection device and method for improving imaging lens |
| CN110471188A (en) * | 2019-08-21 | 2019-11-19 | 河南科技大学 | A method of based on class parabolic lens Spatial transmission Airy beam transmission locus |
| CN110568621A (en) * | 2019-08-21 | 2019-12-13 | 河南科技大学 | airy beam transmission track regulation and control method based on prism phase modulation |
| RU196429U1 (en) * | 2019-11-29 | 2020-02-28 | Федеральное государственное бюджетное образовательное учреждение высшего образования "Сибирский государственный университет геосистем и технологий" (СГУГиТ) | Airy beam forming device |
| CN111092653A (en) * | 2019-12-18 | 2020-05-01 | 南京信息工程大学 | Device for realizing dual-polarization Airy obstacle-detouring signal transmission based on single SLM space partition |
| CN112821946A (en) * | 2021-01-06 | 2021-05-18 | 广东工业大学 | Short-distance free space optical interconnection system based on self-accelerating light beam |
| CN115908469A (en) * | 2022-12-18 | 2023-04-04 | 哈尔滨理工大学 | Image processing method and device based on Airy beam emission angle regulation |
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Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108549160A (en) * | 2018-04-20 | 2018-09-18 | 北京工业大学 | A kind of device and method of continuous adjustment laser filament length |
| CN109799672A (en) * | 2019-03-26 | 2019-05-24 | 北京全欧光学检测仪器有限公司 | The non-detection device and method for improving imaging lens |
| CN109883656A (en) * | 2019-03-26 | 2019-06-14 | 北京全欧光学检测仪器有限公司 | The non-detection device and method for improving imaging lens |
| CN110471188A (en) * | 2019-08-21 | 2019-11-19 | 河南科技大学 | A method of based on class parabolic lens Spatial transmission Airy beam transmission locus |
| CN110568621A (en) * | 2019-08-21 | 2019-12-13 | 河南科技大学 | airy beam transmission track regulation and control method based on prism phase modulation |
| CN110471188B (en) * | 2019-08-21 | 2021-12-14 | 河南科技大学 | Method for modulating Airy beam transmission track based on quasi-parabolic lens phase |
| RU196429U1 (en) * | 2019-11-29 | 2020-02-28 | Федеральное государственное бюджетное образовательное учреждение высшего образования "Сибирский государственный университет геосистем и технологий" (СГУГиТ) | Airy beam forming device |
| CN111092653A (en) * | 2019-12-18 | 2020-05-01 | 南京信息工程大学 | Device for realizing dual-polarization Airy obstacle-detouring signal transmission based on single SLM space partition |
| CN112821946A (en) * | 2021-01-06 | 2021-05-18 | 广东工业大学 | Short-distance free space optical interconnection system based on self-accelerating light beam |
| CN115908469A (en) * | 2022-12-18 | 2023-04-04 | 哈尔滨理工大学 | Image processing method and device based on Airy beam emission angle regulation |
| CN115908469B (en) * | 2022-12-18 | 2023-06-23 | 哈尔滨理工大学 | Image processing method and device based on Airy light beam emission angle regulation and control |
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