CN104765153A - Similar Airy beam generation method and device - Google Patents
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- CN104765153A CN104765153A CN201510188326.6A CN201510188326A CN104765153A CN 104765153 A CN104765153 A CN 104765153A CN 201510188326 A CN201510188326 A CN 201510188326A CN 104765153 A CN104765153 A CN 104765153A
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- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/09—Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
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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
- G02B27/09—Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
- G02B27/0911—Anamorphotic systems
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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
- G02B27/10—Beam splitting or combining systems
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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
- G02B27/30—Collimators
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Abstract
The invention relates to a similar Airy beam generation method. The method comprises the following steps that 1, Gaussian beams are emitted by a laser device and collimated and expanded; 2, the collimated and expanded Gaussian beams are projected onto a beam splitter prism so as to perform beam splitting; 3, a phase graph is loaded on a spatial light modulator in advance, and phase modulation is performed on the split Gaussian beams through the spatial light modulator loading the phase graph, wherein the phase graph is obtained by introducing a rotating angle theta factor between an x axis and a y axis in an original cubic phase through a computer, and the rotating angle theta is larger than 0 and smaller than 360 degrees; 4, Fourier transformation is performed on the Gaussian beams through a Fourier lens to obtain similar Airy beams, wherein the Gaussian beams are obtained after phase modulation is performed. The invention further relates to a similar Airy beam generation device.
Description
Technical field
The present invention relates to optical field, particularly relate to production method and the device of a kind Airy beam.
Background technology
Schrodinger equation in quantum mechanics gives the theory prophesy of multiple salt free ligands ripple, afterwards by the mathematics corresponding relation between the paraxonic equation in schrodinger equation and diffraction, starts systematically to study Beams at optical field.Before three more than ten years, Berry and Balazs has done an important prophesy in quantum mechanics field: schrodinger equation has the ripple bag solution that is followed Airy function.Theoretical research finds, Airy ripple bag has some significant characteristics: salt free ligands, certainly laterally acceleration, self-healing etc.Berry thinks, Airy ripple bag is the unique salt free ligands solution of one dimension schrodinger equation.But, this work does not cause the concern of people, its reason is that theoretic Airy ripple bag carries infinite many energy, and this is obviously irrealizable in reality, and therefore this result does not successfully lead scientific research personnel to realize the Airy ripple bag of autoacceleration experimentally.Until 2007, in the U.S., the people such as Georgios Siviloglou of university of Florida is studied the work of Berry again, discovery is also the solution of schrodinger equation by the Airy function that index " cuts toe ", and based on this discovery, they achieve the generation of carrying finite energy Airy beam experimentally for the first time.
In several years short in the past, the Strange properties of Airy beam makes it have some very special using values, and the research of people to it relate to the many aspects such as theoretical and experiment, linear processes, fundamental research and potential application.Airy beam has successively been applied to optical particle manipulation, photon bullet and the generation of plasma channel, numerous research field such as induction, Accelerating electron, Airy laser instrument of surface plasma excimer, and the research promoting autoacceleration light becomes a breathtaking advanced subject.
The production method of existing Airy beam has introduces decay factor method, Gaussian laser beam modulation method, two-dimensional waveguide Array Method etc.But these methods can not change Space expanding and the shape of Airy beam, this is difficult to for the application of Airy beam in structure auto-convergence light beam, particulate manipulation, photon bullet etc. provides more degree of freedom.
Summary of the invention
In view of this, necessary production method and the device providing a kind Airy beam, the method can regulate and control the Space expanding of light beam and shape.
The invention provides the production method of a kind Airy beam, it comprises the following steps:
(1) send Gaussian beam by laser instrument, and described Gaussian beam is carried out collimating and expanding;
(2) Gaussian beam after collimator and extender is projected on Amici prism to carry out light splitting;
(3) a pre-loaded phase graph in spatial light modulator, and carry out phase-modulation by the spatial light modulator being loaded with phase graph to by the Gaussian beam after light splitting, wherein, described phase graph obtains for introducing the anglec of rotation θ factor between x-axis and y-axis by computing machine in former cube of phase place, and described anglec of rotation θ meets: 0 ° of < θ < 360 °;
(4) Gaussian beam after phase-modulation is carried out Fourier transform by a fourier lense, obtain class Airy beam.
Further to the step that described class Airy beam is amplified and received, specifically comprise: described class Airy beam is amplified by microcobjective, then is received by image sensing receiver.
The present invention also provides the generation device of a kind Airy beam, and it comprises:
Laser instrument, for sending Gaussian beam;
Collimator and extender mirror, for collimating Gaussian beam and expanding;
Amici prism, carries out light splitting for collimation and the Gaussian beam after expanding;
Computing machine, for to the pre-loaded phase graph of spatial light modulator, described phase graph obtains for introducing the anglec of rotation θ factor between x-axis and y-axis by computing machine in former cube of phase place, and described anglec of rotation θ meets: 0 ° of < θ < 360 °;
Spatial light modulator, it carries out phase-modulation by pre-loaded phase graph to described Gaussian beam;
Fourier lense, for carrying out Fourier transform to obtain class Airy beam to the light beam through phase-modulation.
Wherein, also comprise microcobjective and image sensing receiver, described microcobjective is used for described class Airy beam to amplify, and described image sensing receiver is for receiving class Airy beam.
Compared with prior art, production method and the device of class Airy beam of the present invention have the following advantages: due to the factor by increasing a regulation and control wavefront in former cube of phase place, namely in former cube of phase place, the anglec of rotation θ factor is introduced between x direction and y direction, thus regulation and control Beam Wave-Front propagation characteristic, obtain the class Airy beam with different angles and shape, and then change Space expanding and the distribution of light beam, control the propagation of light beam more neatly, for its in many application as built auto-convergence light beam, particulate manipulates, the aspects such as photon bullet provide more degree of freedom.Such Airy beam has the characteristic similar to traditional Airy beam, as salt free ligands, self-healing, autoacceleration characteristic, and this light beam all has a good application prospect in structure auto-convergence light beam, plasma, particulate manipulation, photon bullet, Airy laser instrument and propagation in atmosphere etc.
Accompanying drawing explanation
The structural representation of the generation device of the class Airy beam that Fig. 1 provides for the embodiment of the present invention.
Fig. 2 is the phase graph that the embodiment of the present invention loads in spatial light modulator, wherein anglec of rotation θ=45 °.
Fig. 3 is the optical field distribution figure of the class Airy beam that Fig. 2 obtains.
Fig. 4 is the phase graph that the embodiment of the present invention loads in spatial light modulator, wherein anglec of rotation θ=135 °.
Fig. 5 is the optical field distribution figure of the class Airy beam that Fig. 4 obtains.
Fig. 6 is the phase graph that the embodiment of the present invention loads in spatial light modulator, wherein anglec of rotation θ=225 °.
Fig. 7 is the optical field distribution figure of the class Airy beam that Fig. 6 obtains.
Fig. 8 is the phase graph that the embodiment of the present invention loads in spatial light modulator, wherein anglec of rotation θ=270 °.
Fig. 9 is the optical field distribution figure of the class Airy beam that Fig. 8 obtains.
Figure 10 is the phase graph that the embodiment of the present invention loads in spatial light modulator, wherein anglec of rotation θ=330 °.
Figure 11 is the optical field distribution figure of the class Airy beam that Figure 10 obtains.
In fig. 1,1 represents laser instrument; 2 represent collimator and extender mirror; 3 represent Amici prism; 4 representation space photomodulators; 5 represent computing machine; 6 represent fourier lense; 7 represent microcobjective; 8 represent image sensing receiver; 9 represent display.
Following specific embodiment will further illustrate the present invention in conjunction with above-mentioned accompanying drawing.
Embodiment
Below with reference to accompanying drawing, the production method of class Airy beam provided by the invention and device are described further.
Referring to Fig. 1, is the structural representation of the generation device of class Airy beam provided by the invention.The generation device of described class Airy beam comprises laser instrument 1, collimator and extender mirror 2, Amici prism 3, spatial light modulator 4, computing machine 5 and fourier lense 6.
This laser instrument 1 is for sending Gaussian beam.This laser instrument 1 can be He-Ne laser instrument, Ar ion laser etc.In the present embodiment, employing visible wavelength is the He-Ne laser instrument of 632.8nm.
This collimator and extender mirror 2 is for collimating Gaussian beam and expanding.Focal length in this collimator and extender mirror 2 and clear aperture regulate according to specific needs.In the present embodiment, the focal length 300mm of this collimator and extender mirror 2, clear aperture 50mm.
Gaussian beam after this Amici prism 3 plays collimation and expands carries out the effect of light splitting.In the present embodiment, this Amici prism 3 is of a size of 25*25mm.
Described computing machine 5 is for the pre-loaded phase graph of described spatial light modulator 4.Described phase graph is specially and obtains for introducing the anglec of rotation θ factor in former cube of phase place between x-axis and y-axis.Described anglec of rotation θ meets: 0 ° of < θ < 360 °.
Described spatial light modulator 4 carries out phase-modulation by pre-loaded phase graph to described Gaussian beam.In the present embodiment, the pixel size of spatial light modulator 4 is 8 μm, and resolution is 1920*1080, service band 400 ~ 700nm.
Described fourier lense 6 is for carrying out Fourier transform to obtain class Airy beam to the light beam through phase-modulation.In the present embodiment, the focal length 300mm of described fourier lense 6.
Be appreciated that the generation device of such Airy beam also can comprise microcobjective 7, image sensing receiver 8 (also claiming CCD receiver) and display 9.Described microcobjective 7 is for amplifying described class Airy beam.Described image sensing receiver 8 is for receiving class Airy beam.Described display 9 is for display and observe.In the present embodiment, the magnification of described microcobjective 7 is 40 times, numerical aperture NA=0.6; The resolution of described image sensing receiver 8 is 1920*1080.
The course of work of the generation device of such Airy beam is: the Gaussian beam that laser instrument 1 is launched expands through collimator and extender mirror 2, and light beam is full of whole clear aperature; Then the directional light expanded projects on Amici prism 3; In former cube of phase place, between x-axis and y-axis, introduce the anglec of rotation θ factor by computing machine 5 and obtain a phase graph, and loaded in spatial modulator 4 by this phase graph, then carry out phase-modulation by the spatial light modulator 4 being loaded with phase graph to by the light beam after light splitting; Afterwards, the light beam after this modulation carries out Fourier transform through fourier lense 6 again, and on fourier lense 6 back focal plane, produce class Airy beam; This light beam through through microcobjective 7 amplify after and received by CCD receiver 8, finally by display 9 show observe.
The present invention also provides the production method of a kind Airy beam, and it comprises the following steps:
(1) send Gaussian beam by laser instrument 1, and described Gaussian beam is carried out collimating and expanding;
(2) Gaussian beam after collimator and extender is projected on Amici prism 3 to carry out light splitting;
(3) a pre-loaded phase graph in spatial light modulator 4, and carry out phase-modulation by the spatial light modulator 4 being loaded with phase graph to by the Gaussian beam after light splitting, wherein, described phase graph obtains for introducing the anglec of rotation θ factor between x-axis and y-axis by computing machine 5 in former cube of phase place, and described anglec of rotation θ meets: 0 ° of < θ < 360 °;
(4) Gaussian beam after phase-modulation is carried out Fourier transform by a fourier lense 6, obtain class Airy beam.
Be appreciated that the method comprises the step of amplifying described class Airy beam and receiving further, specifically comprise: described class Airy beam is amplified by microcobjective 7, then is received by image sensing receiver 8.
The Airy light of One Dimensional Finite energy can be expressed as:
φ (x, z)=Ai (x) exp (ax) formula (1)
Two-dimensional finite energy Airy light can regard the product in x direction and y direction as, can be expressed as:
φ (x, y, z)=Ai (x) exp (ax) Ai (y) exp (ay) formula (2)
Wherein, a represents guillotine factor, and a<1.
Analyzed by above-mentioned formula (2), visible x and y has identical status, and between x and y, angle is 90 °.So, rotate generation if y direction is regarded as by x direction, the angle now between x direction and y direction is defined as θ, then the expression formula of y can be expressed as the function of x, is specially:
φ (y, z)=φ (x cos θ+y sin θ, z) formula (3)
According to x direction and y direction product, and the class Airy beam that the angle between x direction and y direction is θ can be expressed as:
φ(x,y,z,θ)＝φ(x,z)×φ(y,z)
=Ai (x) exp (ax) Ai (x cos θ+y sin θ) exp (ax cos θ+y sin θ) formula (4)
For obtaining the Airy beam of expression formula such as formula (2), the phase place statement formula of the phase graph of employing is:
When the phase graph of introducing anglec of rotation θ pre-loaded in spatial light modulator 4, the class Airy beam of expression formula such as formula (4) now can be obtained.The phase place statement formula of the phase graph of this introducing anglec of rotation θ is:
Referring to Fig. 2 to Figure 11, when introducing different anglec of rotation θ to phase graph, finally can collect the class Airy beam of different spaces topology and distribution.
Compared with prior art, production method and the device of class Airy beam of the present invention have the following advantages: due to the factor by increasing a regulation and control wavefront in former cube of phase place, namely in former cube of phase place, the anglec of rotation θ factor is introduced between x direction and y direction, thus regulation and control Beam Wave-Front propagation characteristic, obtain the class Airy beam with different angles and shape, and then change Space expanding and the distribution of light beam, control the propagation of light beam more neatly, for its in many application as built auto-convergence light beam, particulate manipulates, the aspects such as photon bullet provide more degree of freedom.Such Airy beam has the characteristic similar to traditional Airy beam, as salt free ligands, self-healing, autoacceleration characteristic, and this light beam all has a good application prospect in structure auto-convergence light beam, plasma, particulate manipulation, photon bullet, Airy laser instrument and propagation in atmosphere etc.
In addition, those skilled in the art also can do other changes in spirit of the present invention, and these changes done according to the present invention's spirit, all should be included in the present invention's scope required for protection certainly.
Claims (4)
1. the production method of a kind Airy beam, it comprises the following steps:
(1) send Gaussian beam by laser instrument, and described Gaussian beam is carried out collimating and expanding;
(2) Gaussian beam after collimator and extender is projected on Amici prism to carry out light splitting;
(3) a pre-loaded phase graph in spatial light modulator, and carry out phase-modulation by the spatial light modulator being loaded with phase graph to by the Gaussian beam after light splitting, wherein, described phase graph obtains for introducing the anglec of rotation θ factor between x-axis and y-axis by computing machine in former cube of phase place, and described anglec of rotation θ meets: 0 ° of < θ < 360 °;
(4) Gaussian beam after phase-modulation is carried out Fourier transform by a fourier lense, obtain class Airy beam.
2. the production method of class Airy beam as claimed in claim 1, it is characterized in that, further to the step that described class Airy beam is amplified and received, specifically comprise: described class Airy beam is amplified by microcobjective, then is received by image sensing receiver.
3. the generation device of a kind Airy beam, it comprises:
Laser instrument, for sending Gaussian beam;
Collimator and extender mirror, for collimating Gaussian beam and expanding;
Amici prism, carries out light splitting for collimation and the Gaussian beam after expanding;
Computing machine, for to the pre-loaded phase graph of spatial light modulator, described phase graph obtains for introducing the anglec of rotation θ factor between x-axis and y-axis by computing machine in former cube of phase place, and described anglec of rotation θ meets: 0 ° of < θ < 360 °;
Spatial light modulator, it carries out phase-modulation by pre-loaded phase graph to described Gaussian beam;
Fourier lense, for carrying out Fourier transform to obtain class Airy beam to the light beam through phase-modulation.
4. the generation device of class Airy beam as claimed in claim 3, is characterized in that, also comprise microcobjective and image sensing receiver, and described microcobjective is used for described class Airy beam to amplify, and described image sensing receiver is for receiving class Airy beam.
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Cited By (12)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN106053025A (en) * | 2016-06-30 | 2016-10-26 | 河南科技大学 | Measuring device and method for Airy beam attenuation factor |
| CN106094218A (en) * | 2016-06-23 | 2016-11-09 | 夏辉 | A kind of generator of hollow beam |
| CN106153307A (en) * | 2016-06-30 | 2016-11-23 | 河南科技大学 | A kind of apparatus and method utilizing beam intensity ratio to measure the Airy beam attenuation factor |
| CN106199981A (en) * | 2016-06-28 | 2016-12-07 | 浙江师范大学 | The method and device of the salt free ligands Airy beam of orbital angular momentum is carried in a kind of generation |
| CN107329274A (en) * | 2017-05-10 | 2017-11-07 | 浙江师范大学 | The devices and methods therefor of Airy beam is produced based on G S algorithms |
| WO2017206929A1 (en) * | 2016-06-01 | 2017-12-07 | The University Of Hong Kong | Airy-beam optical swept source |
| CN109683327A (en) * | 2018-12-06 | 2019-04-26 | 中国工程物理研究院激光聚变研究中心 | The shaping of light beam focal spot and kinetic-control system and method based on plasma regulation |
| CN110376749A (en) * | 2019-07-19 | 2019-10-25 | 浙江师范大学 | The production method and system of multilayer vortex beams |
| 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 |
| RU196430U1 (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 in the terahertz wavelength range |
| CN111856765A (en) * | 2020-07-31 | 2020-10-30 | 浙江师范大学 | Light cage beam generation system based on self-accelerating beam |
| US20220081342A1 (en) * | 2020-09-11 | 2022-03-17 | Corning Incorporated | Laser forming non-square edges in transparent workpieces using low intensity airy beams |
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| US10855048B2 (en) | 2016-06-01 | 2020-12-01 | The University Of Hong Kong | Airy-beam optical swept source |
| WO2017206929A1 (en) * | 2016-06-01 | 2017-12-07 | The University Of Hong Kong | Airy-beam optical swept source |
| CN106094218A (en) * | 2016-06-23 | 2016-11-09 | 夏辉 | A kind of generator of hollow beam |
| CN106094218B (en) * | 2016-06-23 | 2018-05-01 | 夏辉 | A kind of generation device of hollow beam |
| CN106199981A (en) * | 2016-06-28 | 2016-12-07 | 浙江师范大学 | The method and device of the salt free ligands Airy beam of orbital angular momentum is carried in a kind of generation |
| CN106153307A (en) * | 2016-06-30 | 2016-11-23 | 河南科技大学 | A kind of apparatus and method utilizing beam intensity ratio to measure the Airy beam attenuation factor |
| CN106053025B (en) * | 2016-06-30 | 2018-09-14 | 河南科技大学 | A kind of measuring device and method of the Airy beam attenuations factor |
| CN106053025A (en) * | 2016-06-30 | 2016-10-26 | 河南科技大学 | Measuring device and method for Airy beam attenuation factor |
| CN107329274A (en) * | 2017-05-10 | 2017-11-07 | 浙江师范大学 | The devices and methods therefor of Airy beam is produced based on G S algorithms |
| CN107329274B (en) * | 2017-05-10 | 2023-09-29 | 浙江师范大学 | Device and method for generating Airy light beam based on G-S algorithm |
| CN109683327A (en) * | 2018-12-06 | 2019-04-26 | 中国工程物理研究院激光聚变研究中心 | The shaping of light beam focal spot and kinetic-control system and method based on plasma regulation |
| CN109683327B (en) * | 2018-12-06 | 2021-02-26 | 中国工程物理研究院激光聚变研究中心 | Light beam focal spot shaping and dynamic control system and method based on plasma regulation |
| CN110376749B (en) * | 2019-07-19 | 2021-10-22 | 浙江师范大学 | Method and system for generating multilayer vortex beam |
| CN110376749A (en) * | 2019-07-19 | 2019-10-25 | 浙江师范大学 | The production method and system of multilayer vortex beams |
| 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 |
| 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 |
| RU196430U1 (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 in the terahertz wavelength range |
| CN111856765A (en) * | 2020-07-31 | 2020-10-30 | 浙江师范大学 | Light cage beam generation system based on self-accelerating beam |
| CN111856765B (en) * | 2020-07-31 | 2022-11-15 | 浙江师范大学 | Light cage beam generation system based on self-accelerating beam |
| US20220081342A1 (en) * | 2020-09-11 | 2022-03-17 | Corning Incorporated | Laser forming non-square edges in transparent workpieces using low intensity airy beams |
| US12006245B2 (en) * | 2020-09-11 | 2024-06-11 | Corning Incorporated | Laser forming non-square edges in transparent workpieces using low intensity airy beams |
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