CN112180590A - Design method of flower-shaped optical vortex array mask plate - Google Patents
Design method of flower-shaped optical vortex array mask plate Download PDFInfo
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- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
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- G02—OPTICS
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- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
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Abstract
A design method of a flower-shaped optical vortex array mask plate is characterized in that the amplitude and the phase of a flower-shaped optical vortex array and a blazed grating are combined to obtain a complex transmittance function of the flower-shaped optical vortex array mask plate, and the complex transmittance function of the flower-shaped optical vortex array mask plate is loaded into a spatial light modulator through a computer to obtain the flower-shaped optical vortex array mask plate. The amplitude modulation phase mask plate of the flower-shaped optical vortex array is obtained by utilizing the computer encoding by utilizing the computer holographic principle, and the flower-shaped optical vortex array with controllable shape, vortex quantity and symbol can be generated, so that the method has important application value in the field of multi-particle capture in the field of micro-manipulation.
Description
Technical Field
The invention relates to the field of particle manipulation, in particular to a design method of a flower-shaped optical vortex array mask plate.
Background
Optical vortices are a special optical field with a helical phase structure, and have attracted a great deal of attention in many fundamental and application fields, such as particle trapping, optical tweezers, etc., because of their orbital angular momentum. The vortex array provides more flexibility and potential value due to the multiple vortices carried by the vortex array, and becomes an important research hotspot in the application of multi-particle capture in the field of micro-manipulation.
The OVA of the junctional type consist of units of OVs of the strength junctional type. Typically, concatenated OVs are generally formed by the coaxial superposition of two or more specific beams. In 2007, S.Franke-Arnold et al demonstrated an annular optical vortex array suitable for trapping cold atoms [ Opt.express, 2007, 8619-8625 ] by Laguerre-Gaussian beam superposition of specific topological charge values. In 2011, Lin et al generated rectangular vortex arrays based on hermite-gaussian modes [ opt. express 2011, 10293-. In 2017, Ma et al obtained a circular optical vortex array [ ann. phys-Berlin 2017,1700285 ] with flexibly controllable vortex radius, number and sign by superimposing two concentric perfect vortex beams. In 2018, Li et al generated an optical vortex array [ opt.express 2018, 9798-.
In addition, the Ince-Gaussian (IG) light beam has more advantages in the aspect of generating OVA due to richer and more diverse transverse distribution of the light field, more types of modes and stronger parameter adjustability. In 2008, Chu et al could theoretically form a vortex array like a chessboard by superimposing two Thus-Gaussian beams perpendicular to each other with a phase difference of π/2 [ Opt Express,2008, 19934-. In 2009, Otsuka et al generated radial and rectangular diesel-gaussian vortex arrays [ opt. lett.2009,10-12 ] using a thin layer solid state laser pumped by a wide aperture laser diode. In 2018, when Shen et al used a large-aperture off-axis pump Yb, CALGO laser generated OVAs of various structures in a transverse mode locking state.
However, the above production method is complicated in experimental setup and difficult to freely adjust. Furthermore, the circular structure of OVAs produced by the superposition of IG beams has not been reported. It is therefore of great importance to use a simple method for creating OVA by superposition of IG beams.
Disclosure of Invention
In order to solve the defects, a design method of a flower-shaped optical vortex array mask plate is provided, and the mask plate is used for generating a vortex array with the array shape, the vortex number and the vortex symbol being easily regulated and controlled, so that the method has extremely important application value in the field of particle manipulation.
The amplitude modulation phase mask plate of the flower-shaped optical vortex array is obtained by utilizing the computer encoding by utilizing the computer holographic principle, and the flower-shaped optical vortex array with controllable shape, vortex quantity and symbol can be generated, so that the method has important application value in the field of multi-particle capture in the field of micro-manipulation.
The technical scheme adopted by the invention is as follows:
a design method of a flower-shaped optical vortex array mask plate is characterized in that the amplitude and the phase of a flower-shaped optical vortex array and a blazed grating are combined to obtain a complex transmittance function of the flower-shaped optical vortex array mask plate, and the specific expression of the complex transmittance function is as follows:
wherein | · | represents the modulo of the complex amplitude, and angle (·) is the azimuthal function;
the electric field expression of the flower-shaped optical vortex array is as follows:
wherein, p and m are the order and the series of the FOVA respectively, and the order and the series satisfy that p is m;
and loading the complex transmittance function of the flower-shaped optical vortex array mask plate into a spatial light modulator through a computer to obtain the flower-shaped optical vortex array mask plate.
Further optimizing the scheme, the phase expression of the blazed grating is as follows: p0＝2πx/d
Where d is the period of the blazed grating.
According to the method for generating the flower-shaped optical vortex array light beam by using the mask plate prepared by the design method, the parallel light beam is irradiated on the spatial light modulator loaded with the flower-shaped optical vortex array mask plate, and the flower-shaped optical vortex array with controllable shape, vortex quantity and symbol can be generated after the spatial light modulator modulates the light beam.
The invention has the technical effects that:
the mask designed by the invention can generate a flower-shaped optical vortex array. The number of vortexes is controllable, the relation between the number N of optical vortexes in the array and the number m of stages meets the requirement that N is 2m, and the symbols of the vortexes can be changed and the generation and disappearance of the vortexes can be controlled by regulating and controlling the initial phase difference. Compared with the traditional method for generating the optical vortex array, the method has the advantages that the optical path structure is obviously simplified, and the vortex array with the required shape can be accurately generated, so that the method has very important application prospect in the field of particle manipulation.
Drawings
FIG. 1 is a schematic representation of the present inventionThe flower-shaped optical vortex array mask plate with controllable vortex number. The ellipse parameters are chosen as 1/8,
the order p and the order m are sequentially taken from 1 to 4 at intervals of 1, and n is taken1＝2,n2＝0。
FIG. 2 is a flower-like optical vortex array generated by the mask shown in FIG. 1.
Detailed Description
The invention is described in detail below by way of exemplary embodiments. It should be understood, however, that elements, structures and features of one embodiment may be beneficially incorporated in other embodiments without further recitation.
FIG. 1 is a mask of an embodiment of a flower-like optical vortex array produced by the present invention. The specific implementation mode is as follows:
firstly, based on accurate orthogonal solution of a space paraxial wave equation under an elliptic coordinate system, an electric field expression of a flower-shaped optical vortex array is derived theoretically as follows:
wherein p and m are the order and the series of FOVA respectively; both satisfy p ═ m; xi ∈ [0, ∞), η ∈ [0,2 π) represent the radial and azimuthal elliptical variables, respectively; omega0Is the radius of the waist of the Gaussian beam; wherein r is a radial position vector;
representing an ellipse parameter; f. of0Is half focal length; and C is a normalization parameter.
And
respectively even and odd factorial polynomials of order p and m, wherein n1And n2Is a constant equal to 0,2,4,6 …, and satisfies n1≠n2One of which must equal 0. a. b is a scale factor of a since polynomial.
The phase expression of a blazed grating is: p 02 pi x/d. And d is the period of the blazed grating, and the effect of the blazed grating is to generate the electric field expression of the flower-shaped optical vortex array in an experiment.
The utility model provides a shape and vortex quantity, sign controllable flower form optics vortex array's mask plate, has used the amplitude, the phase place and a blazed grating of flower form optics vortex array jointly, obtains the complex transmittance function of flower form optics vortex array mask plate, and its complex transmittance function concrete expression is:
wherein | · | represents the modulo of the complex amplitude, and angle (·) is the azimuthal function; and loading the complex transmittance function of the flower-shaped optical vortex array mask plate into a spatial light modulator through a computer to obtain the flower-shaped optical vortex array mask plate.
In the experiment, the ellipse parameter is 1/8, and for the complex transmittance function of the flower-shaped optical vortex array, different series m values are sequentially selected to obtain the optical vortex arrays with different shapes and vortex numbers. In FIG. 1, the number of steps m is sequentially taken from 1 to 4 at intervals of 1, and n is taken1＝2,n20, obtained as a mask for a flower-like optical vortex array.
The parallel light beams are irradiated on a spatial light modulator loaded with a flower-shaped optical vortex array mask plate, and after the spatial light modulator modulates the light beams, the flower-shaped optical vortex array with controllable shape, vortex quantity and symbol can be generated.
Examples
A mask plate with the size of 512 multiplied by 512 is taken as an example, and a flower-shaped optical vortex array mask plate with controllable shape and vortex number is given for laser with the working wavelength of 532 nm. The elliptic parameter of the mask plate flower-shaped optical vortex array phase is 1/8, and n is taken1＝2,n2Taking the number m of the stages from 1 to 4 in sequence at intervals of 1 as 0, and finally obtaining the flower-shaped optical vortex array mask plate with controllable shape and vortex number according to the mask plate complex transmittance function in the specific embodiment. Fig. 1 is a flower-shaped optical vortex array mask plate used in the embodiment under different stage values. The flower-shaped optical vortex array mask plate with controllable shape and vortex number can be realized by one spatial light modulator. Taking the PLUTO-VIS-016 phase spatial light modulator from Holoeye, Germany as an example, the pixel size is 8 μm, the filling factor is 93%, and the resolution is 1920 pixels × 1080 pixels. A continuous wave solid laser with a wavelength of 532nm was used in the experiment with a power of 50 mW.
FIG. 2 shows a flower-like optical vortex array with controllable shape and vortex number generated in the example. As can be seen from the figure, we obtain a flower-shaped optical vortex array with controllable shape and vortex number, and the relation between the number N of optical vortices in the array and the number m of the series satisfies N-2 m. In summary, the invention provides a specific design scheme and an implementation scheme of a flower-shaped optical vortex array mask plate with controllable shape and vortex number, and provides a technical implementation route of the flower-shaped optical vortex array mask plate with controllable shape and vortex number for laser with working wavelength of 532nm by taking an ellipse parameter as 1/8 and taking a series m from 1 to 4 sequentially at intervals of 1 as an example.
The above-mentioned flower-shaped optical vortex array mask plate with controllable generation shape and vortex number only expresses one specific embodiment of the invention, and is not to be construed as limiting the protection scope of the invention. It should be noted that, for a person skilled in the art, numerous variations and modifications of the details of the embodiments set forth in the present patent can be made without departing from the basic idea of the invention, which falls within the scope of the invention.
Claims (3)
1. A design method of a flower-shaped optical vortex array mask plate is characterized by comprising the following steps:
combining the amplitude and the phase of the flower-shaped optical vortex array and a blazed grating to obtain a complex transmittance function of the flower-shaped optical vortex array mask plate, wherein the specific expression of the complex transmittance function is as follows:
wherein | · | represents the modulo of the complex amplitude, and angle (·) is the azimuthal function;
the electric field expression of the flower-shaped optical vortex array is as follows:
wherein, p and m are the order and the series of the FOVA respectively, and the order and the series satisfy that p is m;
and loading the complex transmittance function of the flower-shaped optical vortex array mask plate into a spatial light modulator through a computer to obtain the flower-shaped optical vortex array mask plate.
2. The design method of a flower-shaped optical vortex array mask plate according to claim 1, wherein:
the expression of the phase of the blazed grating is as follows: p0＝2πx/d
Where d is the period of the blazed grating.
3. A method for generating a flower-shaped optical vortex array beam by using a mask plate prepared by the design method of any one of claims 1-2, wherein the method comprises the following steps: the parallel light beams are irradiated on a spatial light modulator loaded with a flower-shaped optical vortex array mask plate, and after the spatial light modulator modulates the light beams, the flower-shaped optical vortex array with controllable shape, vortex quantity and symbol can be generated.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112861274A (en) * | 2021-01-06 | 2021-05-28 | 河南科技大学 | Design method of mask plate of high-order free mode optical vortex array |
| CN115032789A (en) * | 2022-04-28 | 2022-09-09 | 河南科技大学 | Design method of growth-controllable annular fork-shaped light beam mask plate |
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| CN106933027A (en) * | 2017-04-28 | 2017-07-07 | 河南科技大学 | A kind of method for designing of the controllable ring whirl array mask plate of vortex number |
| CN108037584A (en) * | 2017-12-27 | 2018-05-15 | 河南科技大学 | A kind of design method of the mask plate of V-type light beam |
| CN109917546A (en) * | 2019-04-04 | 2019-06-21 | 河南科技大学 | A kind of design method for the central symmetry vortex beams mask plate that can freely regulate and control |
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Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106933027A (en) * | 2017-04-28 | 2017-07-07 | 河南科技大学 | A kind of method for designing of the controllable ring whirl array mask plate of vortex number |
| CN108037584A (en) * | 2017-12-27 | 2018-05-15 | 河南科技大学 | A kind of design method of the mask plate of V-type light beam |
| CN109917546A (en) * | 2019-04-04 | 2019-06-21 | 河南科技大学 | A kind of design method for the central symmetry vortex beams mask plate that can freely regulate and control |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN112861274A (en) * | 2021-01-06 | 2021-05-28 | 河南科技大学 | Design method of mask plate of high-order free mode optical vortex array |
| CN112861274B (en) * | 2021-01-06 | 2022-09-23 | 河南科技大学 | Design method of mask plate of high-order free mode optical vortex array |
| CN115032789A (en) * | 2022-04-28 | 2022-09-09 | 河南科技大学 | Design method of growth-controllable annular fork-shaped light beam mask plate |
| CN115032789B (en) * | 2022-04-28 | 2023-09-26 | 河南科技大学 | Design method of annular fork-shaped beam mask plate capable of controlling growth |
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Application publication date: 20210105 Assignee: Luoyang pingconvex Technology Co.,Ltd. Assignor: HENAN University OF SCIENCE AND TECHNOLOGY Contract record no.: X2022980024383 Denomination of invention: A Design Method of Floral Optical Vortex Array Mask Granted publication date: 20220614 License type: Exclusive License Record date: 20221215 |
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