CN111399309A - Method for controlling chirp Airy vortex light beam focusing position - Google Patents

Method for controlling chirp Airy vortex light beam focusing position Download PDF

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CN111399309A
CN111399309A CN202010289973.7A CN202010289973A CN111399309A CN 111399309 A CN111399309 A CN 111399309A CN 202010289973 A CN202010289973 A CN 202010289973A CN 111399309 A CN111399309 A CN 111399309A
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light beam
phase
airy
vortex
chirp
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邓冬梅
吴理汛
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South China Normal University
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    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/35—Non-linear optics
    • G02F1/3511—Self-focusing or self-trapping of light; Light-induced birefringence; Induced optical Kerr-effect

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Abstract

The invention discloses a method for controlling the focusing position of a chirped Airy vortex light beam, which comprises the following steps: emitting a light beam by using a laser, superposing the cubic phase of the Airy light beam and the spiral phase of the vortex light beam to obtain a modulation phase, loading the modulation phase onto a spatial light modulator, and generating the Airy vortex light beam by using a lens; modulating the Airy vortex light beam by using a chirp generator, namely in an intensity modulator, carrying out intensity modulation driving on the light beam by using a radio frequency signal to obtain an intensity pulse signal loaded with radio frequency information; the light beam is injected into a quadratic refractive index medium to be transmitted, the phase adjustment is carried out by adjusting the position of a direct current bias working point in the intensity modulator, the loaded chirp is controlled, the focusing position of the chirp Airy vortex light beam transmitted in the quadratic refractive index medium is changed, the method is applied to the fields of optical micro-manipulation, medical treatment and the like, the accuracy and the stability of the vortex light beam for capturing particles can be improved, obstacles are effectively avoided, and the particles are pushed to move along a secondary curve track.

Description

Method for controlling chirp Airy vortex light beam focusing position
Technical Field
The invention relates to the technical field of optics, in particular to a method for controlling the focusing position of a chirped Airy vortex light beam.
Background
The airy beam has no diffraction, self-healing and special self-accelerating property, and has attracted the enthusiasm of research on the airy beam by a plurality of scientists in recent years. The non-diffractive property means that the light beam does not diffract within a certain propagation distance. The self-healing property means that the light beam can be restored to the original light field distribution shape after being transmitted for a certain distance even if the light beam is blocked during transmission and part of light intensity is blocked. The self-acceleration characteristic refers to the lateral offset acceleration of the main lobe of the beam across the propagation section. Because of the unique properties of Airy beams, the light beam is currently applied to the fields of nonlinear optical bullets, micro-nano processing, medical treatment and the like.
The vortex light beam has a special spiral wave front structure and carries determined orbital angular momentum, can effectively capture particles and enable the captured particles to rotate, and has great application value in the fields of optical micro-manipulation, quantum communication, biomedicine and the like.
In 2009, scientists successfully obtained airy vortex beams by introducing a spiral phase on the basis of the cubic phase of the airy beam, and studied the characteristics of the airy vortex beams. Many scholars are attracted to continue to study the airy vortex beam and have achieved many results. The transmission track of the Airy light beam, the propagation characteristics of the Airy vortex light beams with different topological charge numbers, the propagation properties of the Airy vortex light beams in a uniaxial crystal and the like cannot be influenced by the optical vortex.
Disclosure of Invention
In view of the above, in order to facilitate the application and development of the vortex beam in the field of optical micro-manipulation, the present invention provides a method for controlling the focus position of the chirped airy vortex beam.
The technical scheme adopted by the invention for solving the technical problems is as follows:
the invention provides a method for controlling the focusing position of a chirped Airy vortex light beam, which comprises the following steps:
emitting a light beam with a laser;
superposing the cubic phase of the Airy light beam and the spiral phase of the vortex light beam to obtain a modulation phase, loading the modulation phase onto a spatial light modulator, and generating the Airy vortex light beam through a lens;
modulating the Airy vortex light beam by using a chirp generator, namely in an intensity modulator, carrying out intensity modulation driving on the light beam by using a radio frequency signal to obtain an intensity pulse signal loaded with radio frequency information;
the light beam is injected into a quadratic refractive index medium to be transmitted, phase adjustment is carried out by adjusting the position of a direct current bias working point in an intensity modulator, loaded chirp is controlled, the focusing position of the chirped Airy vortex light beam transmitted in the quadratic refractive index medium is controlled, when the chirped Airy vortex light beam is applied to particle manipulation, the accuracy and stability of the vortex light beam for capturing particles can be improved, and meanwhile due to the self-healing property and the self-accelerating property of the Airy light beam, obstacles can be effectively avoided and particles can be pushed to move along a quadratic curve track.
Further, the new modulation phase obtained by the superposition of the cubic phase and the helical phase is specifically:
Figure BDA0002450030280000021
wherein f is1And f2Respectively cubic phase and helical phase, kxAnd kyWave vectors in x and y directions, i is an imaginary unit, arg (·) is the argument of the complex number, m is the topological charge number, kx1And ky1Indicating a dislocation between the cubic phase center and the helical phase center.
Further, dislocation between the cubic phase and the spiral phase is changed, and different positions of the optical vortex loaded in the Airy light beam are controlled.
Further, the light beam periodically propagates in a quadratic index medium, and the focus position of the light beam is controlled by changing the chirp.
Compared with the prior art, the invention has the beneficial effects that at least:
the invention adopts a spatial light modulator method to generate Airy vortex beams, changes dislocation between a cubic phase and a spiral phase to obtain different modulation phases, and can obtain the Airy vortex beams with different initial fields. Meanwhile, the novel chirp generator is adopted, so that the cost is saved, the efficiency is improved, the beam focusing control can be well controlled, and the method has important significance for the application and development of the fields of particle capture, particle cleaning and the like.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a flow chart of a method of controlling the focus position of a chirped Airy vortex beam according to the present invention;
FIG. 2 is a cubic helical phase diagram of the present invention, with topological charge number m being 1, kx1＝ky1＝0；
FIG. 3 shows the topological charge number m of the first-order chirped Airy vortex beam of the present invention is 1, kx1＝k y10, attenuation factor a-b-0.1, chirp factor β -0.1, index-related parameter α -0.2 m, propagation period L-2 pi α, intensity distribution and phase distribution of light beam propagating in a quadratic index medium, (b) is propagation evolution diagram of light beam in the medium, (a1) - (a6) and (c1) - (c6) are transverse phase distribution and intensity distribution of light beam at the position corresponding to dotted line;
FIG. 4 shows the topological charge number m of the first-order chirped Airy vortex beam of the present invention is 1, kx1＝k y10, attenuation factor a-b-0.1, index-dependent parameter α -0.2 m, propagation period L-2 pi α, intensity distribution and intensity evolution of propagation in a quadratic index medium, (a1), (b1) corresponding to chirp factor β -2, (a2), (b2) corresponding to chirp factor β -0.1, (a3), (b3) corresponding to chirp factor β -2.
Detailed Description
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in detail below. It should be noted that the described embodiments are only some embodiments of the invention, but not all embodiments, and all other embodiments obtained by those skilled in the art without any inventive work are within the scope of the present invention.
Example 1
As shown in fig. 1, the present invention provides a method for controlling a focus position of a chirped airy vortex beam, comprising:
firstly, a laser is used for emitting a light beam, the cubic phase of the Airy light beam and the spiral phase of the vortex light beam are superposed to obtain a modulation phase, the modulation phase is loaded on a spatial light modulator, and then the Airy vortex light beam is generated through a lens. And then, modulating the Airy vortex light beam by using a novel chirp generator, namely, in an intensity modulator, carrying out intensity modulation driving on the light beam by using a radio frequency signal to obtain an intensity pulse signal loaded with radio frequency information. The light beam is injected into a quadratic refractive index medium to be transmitted, the phase adjustment is carried out by adjusting the position of a direct current bias working point in the intensity modulator, the loaded chirp is controlled, the focusing position of the chirp Airy vortex light beam transmitted in the quadratic refractive index medium is changed, when the focusing position is applied to particle manipulation, the accuracy and the stability of the vortex light beam for capturing particles can be improved, and meanwhile due to the self-healing property and the self-accelerating property of the Airy light beam, obstacles can be effectively avoided and particles can be pushed to move along a quadratic curve track.
Example 2
In this embodiment, on the basis of embodiment 1, the new modulation phase obtained by superimposing the cubic phase and the helical phase specifically includes:
Figure BDA0002450030280000041
wherein f is1And f2Respectively cubic phase and helical phase, kxAnd kyWave vectors in x and y directions, i is an imaginary unit, arg (·) is the argument of the complex number, m is the topological charge number, kx1And ky1Indicating a dislocation between the cubic phase center and the helical phase center.
Specifically, the airy vortex light beams are generated by adopting a spatial light modulator method, dislocation between a cubic phase and a spiral phase is changed, different modulation phases are obtained, and the airy vortex light beams with different initial fields can be obtained.
Specifically, the light beam periodically propagates in a quadratic index medium, and the focus position of the light beam can be controlled by changing the chirp.
The chirp, vortex and Airy beams are combined to obtain a chirp Airy vortex beam, intensity distribution and phase distribution of the beam propagating in a quadratic refractive index medium are deeply analyzed in the invention, FIG. 2 is a cubic spiral phase diagram for generating the Airy vortex beam, FIG. 3 shows light intensity distribution and phase distribution of the beam in a propagation period, and it can be seen that the beam is focused four times in one period and the beam profile is changed periodically. From fig. 4, it can be seen that the focal position of the beam is different under the influence of different chirp factors, which also indicates that the focal position of the beam as it propagates along the z-axis can be modulated by controlling the loaded chirp factor.
The invention adopts a spatial light modulator method to generate Airy vortex beams, changes dislocation between a cubic phase and a spiral phase to obtain different modulation phases, and can obtain the Airy vortex beams with different initial fields. Meanwhile, the novel chirp generator is adopted, so that the cost is saved, the efficiency is improved, the beam focusing control can be well controlled, the method is applied to the field of optical micro-manipulation, the stability of capturing particles by optical vortexes is improved, and the method has important significance.
The above-mentioned embodiments only express one embodiment of the present invention, and the description thereof is more specific and detailed, but not construed as limiting the scope of the present invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the inventive concept, which falls within the scope of the present invention. Therefore, the protection scope of the present patent shall be subject to the appended claims.

Claims (4)

1. A method for controlling the focus position of a chirped Airy vortex beam, comprising the steps of:
emitting a light beam with a laser;
superposing the cubic phase of the Airy light beam and the spiral phase of the vortex light beam to obtain a modulation phase, loading the modulation phase onto a spatial light modulator, and generating the Airy vortex light beam through a lens;
modulating the Airy vortex light beam by using a chirp generator, namely in an intensity modulator, carrying out intensity modulation driving on the light beam by using a radio frequency signal to obtain an intensity pulse signal loaded with radio frequency information;
the light beam is injected into a quadratic refractive index medium to be transmitted, phase adjustment is carried out by adjusting the position of a direct current bias working point in an intensity modulator, loaded chirp is controlled, the focusing position of the chirped Airy vortex light beam transmitted in the quadratic refractive index medium is changed, when the chirped Airy vortex light beam is applied to particle manipulation, the accuracy and stability of the vortex light beam for capturing particles can be improved, and meanwhile due to the self-healing property and the self-accelerating property of the Airy light beam, obstacles can be effectively avoided and particles can be pushed to move along a quadratic curve track.
2. The method of claim 1, wherein the new modulation phase obtained by the superposition of the cubic phase and the helical phase is specifically:
Figure FDA0002450030270000011
wherein f is1And f2Respectively cubic phase and helical phase, kxAnd kyWave vectors in x and y directions, i is an imaginary unit, arg (·) is the argument of the complex number, m is the topological charge number, kx1And ky1Indicating a dislocation between the cubic phase center and the helical phase center.
3. The method of claim 1, wherein the optical vortex loading is controlled at different positions of the airy beam by varying the dislocation between the cubic phase and the helical phase.
4. The method of claim 1, wherein the light beam is periodically propagated in a quadratic index medium and the focus of the light beam is controlled by varying the chirp.
CN202010289973.7A 2020-04-14 2020-04-14 Method for controlling chirp Airy vortex light beam focusing position Pending CN111399309A (en)

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Publication number Priority date Publication date Assignee Title
CN112147777A (en) * 2020-08-26 2020-12-29 华南师范大学 Method for producing multiple off-axis optical bottles
CN114035247A (en) * 2021-11-18 2022-02-11 南京理工大学 All-dielectric super-surface structure for generating two-dimensional Airy vortex light beam
CN114967130A (en) * 2022-07-04 2022-08-30 山西大学 Airy pulse symmetric reversal transmission method in dispersion management optical fiber system
CN115166971A (en) * 2022-08-04 2022-10-11 浙江农林大学 Method and system for improving sudden self-focusing capability of first-order circular Airy derivative light beam

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CN110737089A (en) * 2019-09-09 2020-01-31 华南师范大学 method and system for generating chirped Airy vortex electronic plasma wave

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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
CN108535931A (en) * 2018-03-30 2018-09-14 西北工业大学 Liquid crystal phase-plate, preparation method and Airy vortex vector light generate test system
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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN112147777A (en) * 2020-08-26 2020-12-29 华南师范大学 Method for producing multiple off-axis optical bottles
CN112147777B (en) * 2020-08-26 2021-04-30 华南师范大学 Method for producing multiple off-axis optical bottles
CN114035247A (en) * 2021-11-18 2022-02-11 南京理工大学 All-dielectric super-surface structure for generating two-dimensional Airy vortex light beam
CN114967130A (en) * 2022-07-04 2022-08-30 山西大学 Airy pulse symmetric reversal transmission method in dispersion management optical fiber system
CN115166971A (en) * 2022-08-04 2022-10-11 浙江农林大学 Method and system for improving sudden self-focusing capability of first-order circular Airy derivative light beam
CN115166971B (en) * 2022-08-04 2023-09-01 浙江农林大学 Method and system for improving abrupt self-focusing capability of first-order round Airy derivative light beam

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