CN114755835A - Method for constructing perfect Lommel vortex light beam - Google Patents
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- CN114755835A CN114755835A CN202210369378.3A CN202210369378A CN114755835A CN 114755835 A CN114755835 A CN 114755835A CN 202210369378 A CN202210369378 A CN 202210369378A CN 114755835 A CN114755835 A CN 114755835A
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- G—PHYSICS
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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
- G02B27/0927—Systems for changing the beam intensity distribution, e.g. Gaussian to top-hat
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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
- G02B27/0938—Using specific optical elements
- G02B27/0944—Diffractive optical elements, e.g. gratings, holograms
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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
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Abstract
The invention discloses a method for constructing a perfect Lommel vortex light beam. The method loads an amplitude diagram of a Lommel function spectrum through a film, and loads a superposed phase distribution diagram of a cone phase superposed Lommel function spectrum through a phase type spatial light modulator; the film is tightly attached to the spatial light modulator, incident parallel light is subjected to amplitude modulation through the film, a light beam has amplitude distribution of a Lommel function frequency spectrum, and the phase modulation is carried out through the spatial light modulator, so that the Lommel light beam is accurately generated; the Lommel light beam passes through an achromatic Fourier transform lens to accurately generate a perfect Lommel vortex light beam. By using the method, the perfect Lommel vortex light beam can be accurately generated, and the light energy utilization rate is high and the form is rich.
Description
Technical Field
The invention relates to a technology for generating, regulating and converting light beams, which respectively modulates the distribution and amplitude phase of incident light beams by using a film modulation element and a spatial light modulator. A method for precisely generating a Perfect Lommel Vortex Beam (PLVBs) in a free space by simultaneously using two modulation elements.
Background
In 1987, Durnin first proposed the concept of a non-diffracted beam. During free-space propagation, the free-space helmholtz equation has a set of propagation-invariant Bessel function solutions in cylindrical coordinates, and proposes to generate a first non-diffracting Bessel beam (Bessel) [ phy.rev.lett., 1987, 58(15) based on the circumferential seam method: 1499-1501], whose beam cross-section can remain constant over a longer transmission distance. The higher order bessel beam is a classical diffraction-free optical vortex characterized by a dark central nucleus and Orbital Angular Momentum (OAM). Optical vortices are widely used in the fields of laser processing, optical trapping, spatial communication, quantum optics, and the like.
However, the size of a classical optical vortex or a high-order bessel mode central dark kernel with radially symmetric Orbital Angular Momentum (OAM) depends to a large extent on its topological charge number. This optical property may pose technical obstacles when applied in certain research areas. For example, when multiple OAM optical beams are coupled into an optical fiber having a fixed ring index of refraction. For classical optical vortices, the coupling efficiency of high-order vortices drops sharply in OAM multiple fiber communication systems because their radius increases linearly with topological charge, and this varying annular size is undesirable [ OFC 2014, th2a.24 ].
In 2013, Ostrovsky and his colleagues first proposed the concept of a perfect vortex beam, i.e., the radius of the optical vortex does not depend on the topological charge value [ Opt. Lett.,2013,38(4):534-536 ], which is theoretically the Fourier transform of a Bessel beam. However, the perfect vortex beam is a single-radius circular ring, and in the practical application process, different forms of optical vortices are required for different scientific researches, so that the construction of diversified optical vortex distribution forms becomes a new problem.
As scientific research progresses, scientists find a non-paraxial non-diffracted beam, the Lommel beam [ Opt Lett, 2014, 39(8): 2395-. The Lommel beam has a sufficiently rich optical morphology. The Lommel beam is a more valuable feature, and its optical form can be modulated by asymmetric parameters. In particular, in the process of propagation, the fractional order orbital angular momentum is carried, so that the method has greater application potential in information transmission. Similar to the high-order bessel beam, the size of the central dark kernel of the Lommel beam depends on its topological kernel number.
Considering that the Lommel light beam can be expanded into superposition of a series of Bessel light beams with the same transmission parameters and different orders, and simultaneously, based on the past Fourier transformation of the Bessel light beam, the method can generate the perfect vortex light beam with the dark nucleus size not changing along with the topological kernel number.
Disclosure of Invention
Aiming at the defects of the prior art, the invention provides a method for constructing a perfect Lommel vortex light beam.
The technical scheme adopted by the invention for solving the technical problem is as follows:
the invention comprises two steps:
(1) constructing a Lommel light beam based on a phase stabilization method;
(2) based on the Fourier transform characteristic of the lens, performing Fourier transform on the Lommel beam to generate a perfect Lommel vortex optical rotation beam;
the method comprises the following steps:
loading an amplitude diagram of a Lommel function spectrum through a film, and loading a superposed phase distribution diagram of a cone phase superposed Lommel function spectrum through a phase type spatial light modulator;
the film is tightly attached to the spatial light modulator, incident parallel light is subjected to amplitude modulation through the film, a light beam has amplitude distribution of a Lommel function frequency spectrum, and the phase modulation is carried out through the spatial light modulator, so that the Lommel light beam is accurately generated;
the Lommel light beam passes through an achromatic Fourier transform lens to accurately generate a perfect Lommel vortex light beam.
The invention has the beneficial effects that: the invention can accurately generate a perfect Lommel vortex light beam, and has high light energy utilization rate and rich forms.
Drawings
FIG. 1 is a schematic diagram of an experiment of generating PLVBs based on a phase-stable method and a Fourier transform method;
FIG. 2 is a cross-sectional view of light intensity of several perfect Lommel vortex light beams generated by a phase-stabilized structure and a Fourier transform method.
Detailed Description
The invention is further described with reference to the following figures and examples.
The generation of PLVBs in the invention can be mainly divided into two steps: (1) constructing a Lommel light beam based on a phase stabilization method; (2) based on the Fourier transform characteristic of the lens, the Lommel light beam is subjected to Fourier transform, and a perfect Lommel vortex light beam is generated. The method is mainly characterized in that an amplitude diagram of a Lommel function frequency spectrum is loaded through a film, a superposed phase distribution diagram of a cone phase superposed Lommel function frequency spectrum is loaded through a phase type spatial light modulator, and the film is tightly attached to the spatial light modulator. Therefore, incident parallel light is subjected to amplitude modulation through the film, the light beam has amplitude distribution of a Lommel function frequency spectrum, and the phase modulation is carried out through the spatial light modulator, so that the Lommel light beam is accurately generated; the Lommel beam passes through an achromatic Fourier transform lens to accurately generate a PLVBs beam. The method comprises the following specific steps:
(1) calculating an amplitude distribution map with an angular Mathieu function;
(2) inverting the color of the gray image in black and white, inputting the gray image into a film output instrument, printing the gray image on a high-resolution photosensitive film, and performing exposure treatment to obtain an amplitude modulation film;
(3) Superposing the phase distribution of the frequency spectrum of the Lommel function on the cone phase, and loading the superposed phase distribution graph to a phase type spatial light modulator;
(4) placing a film close to a spatial light modulator, collimating and expanding a laser beam to form a beam of parallel light, sequentially irradiating the beam of parallel light to the film and the spatial light modulator, and modulating the amplitude and the phase to generate a Lommel light beam;
(7) after Fourier transformation is carried out on the generated Lommel light beam through an achromatic Fourier transformation lens, a PLVBs transmission pattern is collected on the rear focal plane of the lens through a CCD scientific camera;
according to the method, the amplitude diagram of the Lommel function spectrum is loaded through a film, the phase distribution diagram of the Lommel function spectrum is superposed through the loading of the cone phase of the phase type spatial light modulator, and PLVBs with any type, any topological load and any asymmetric parameter can be freely regulated and controlled.
The embodiment is as follows:
as shown in fig. 1, the experimental apparatus of the present embodiment includes: the device comprises an incident laser beam 1, beam expanding collimation systems ( collimating lenses 2 and 4 and a filter 3), polarizing plates 5 and 10, a Lommel spectrum amplitude distribution 6, a film element 7, a phase distribution 8, a phase type space light modulator 9, an achromatic Fourier transform lens 11, a scientific CCD camera 12 and a computer 13.
The key content of the embodiment is divided into two steps:
the method comprises the steps of firstly, calculating amplitude distribution and phase distribution of a Lommel spectrum by using a spectrum distribution expression of a Lommel function, superposing the phase distribution of the Lommel spectrum and a cone mirror phase, and generating a Lommel light beam by using a phase stabilization principle.
In the second step, the Lommel beam is Fourier transformed by a Fourier lens to generate PLVBs.
The implementation process is as follows:
(1) and the incident laser beam 1 is expanded and collimated by the beam expanding system, and then is incident to a film element 7 loaded with Lommel spectrum amplitude distribution 6 through a polaroid 5.
(2) And Lommel spectrum amplitude distribution 6 is obtained by calculating the frequency spectrum of the Lommel function, the calculation formula is from the literature [ Opt. Commun.,2015, 338:117-122], a complex function of the Lommel function frequency spectrum is obtained, the absolute value is taken to be the Lommel spectrum amplitude distribution diagram, and the amplitude distribution diagram is exposed on the film to generate the amplitude type film element 7.
(3) The Lommel spectrum amplitude distribution 6 is obtained by calculating the frequency spectrum of the Lommel function, the calculation formula is from the literature [ Opt. Commun.,2015, 338:117-122], the complex function of the Lommel function frequency spectrum is obtained, and then the phase distribution is obtained by the arctangent function. The phase distribution of the Lommel function frequency spectrum is superposed with the phase of the conical mirror, and the superposed phase distribution 8 is loaded on the phase type space light modulation 9.
(4) And the amplitude type film element 7 is closely attached to the front of the phase type spatial light modulator 9.
(5) Parallel light sequentially enters an amplitude type film element 7 and a phase type spatial light modulator 9 through a polaroid 5, and is diffracted by Fresnel after amplitude and phase modulation to generate a Lommel light beam;
(6) the generated Lommel light beam is subjected to Fourier transformation through a Fourier transformation lens, and PLVBs are generated on a focal plane behind the Fourier transformation lens;
(7) the computer 13 is connected with the phase type spatial light modulator 9, and PLVBs with any type, topology and asymmetric parameters can be generated by loading different phase diagrams, and the PLVBs can be recorded by the scientific CCD camera 12, and is shown in figure 2.
Claims (3)
1. A method for constructing a perfect Lommel vortex light beam is characterized by comprising the following steps: the method comprises the following two steps:
(1) constructing a Lommel light beam based on a phase stabilization method;
(2) based on the Fourier transform characteristic of the lens, performing Fourier transform on the Lommel light beam to generate a perfect Lommel vortex light beam;
the method comprises the following steps:
loading an amplitude diagram of a Lommel function spectrum through a film, and loading a superposed phase distribution diagram of a cone phase superposed Lommel function spectrum through a phase type spatial light modulator;
the film is tightly attached to the spatial light modulator, incident parallel light is subjected to amplitude modulation through the film, a light beam has amplitude distribution of a Lommel function frequency spectrum, and the phase modulation is carried out through the spatial light modulator, so that the Lommel light beam is accurately generated;
The Lommel light beam passes through an achromatic Fourier transform lens, and a perfect Lommel vortex light beam is accurately generated.
2. The method for constructing the perfect Lommel vortex beam as claimed in claim 1, wherein: by loading different phase diagrams, a perfect Lommel vortex light beam with any type, any topological load and any asymmetric parameter can be generated.
3. A method of constructing a perfect Lommel vortex beam as claimed in claim 1 or 2, wherein: the perfect Lommel vortex beam is recorded by a CCD camera.
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Citations (4)
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|---|---|---|---|---|
| US20020021511A1 (en) * | 2000-07-12 | 2002-02-21 | Korea Institute Of Science And Technology | Filtering device for precisely controlling an intensity distribution of light beam |
| DE102013201968A1 (en) * | 2013-02-07 | 2014-08-07 | BLZ Bayerisches Laserzentrum Gemeinnützige Forschungsgesellschaft mbH | Device for transformation of periodically pulsed electro-magnetic radiation, has acousto-optical deflector synchronized with signal source for linking sound waves to radiation such that diffractive beam transformation is performed |
| CN108227221A (en) * | 2018-02-10 | 2018-06-29 | 浙江师范大学 | A kind of method that light beam is lost based on amplitude modulation and axicon lens generation horse |
| CN112882243A (en) * | 2021-02-02 | 2021-06-01 | 浙江师范大学 | Method for constructing elliptical spiral Mathieu vortex beam based on phase stabilization method |
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- 2022-04-08 CN CN202210369378.3A patent/CN114755835A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20020021511A1 (en) * | 2000-07-12 | 2002-02-21 | Korea Institute Of Science And Technology | Filtering device for precisely controlling an intensity distribution of light beam |
| DE102013201968A1 (en) * | 2013-02-07 | 2014-08-07 | BLZ Bayerisches Laserzentrum Gemeinnützige Forschungsgesellschaft mbH | Device for transformation of periodically pulsed electro-magnetic radiation, has acousto-optical deflector synchronized with signal source for linking sound waves to radiation such that diffractive beam transformation is performed |
| CN108227221A (en) * | 2018-02-10 | 2018-06-29 | 浙江师范大学 | A kind of method that light beam is lost based on amplitude modulation and axicon lens generation horse |
| CN112882243A (en) * | 2021-02-02 | 2021-06-01 | 浙江师范大学 | Method for constructing elliptical spiral Mathieu vortex beam based on phase stabilization method |
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Application publication date: 20220715 |