Design method of a direction-controllable elliptical optical vortex array mask

Abstract

A method for designing a direction-controllable elliptical optical vortex array mask. First, define the system Cartesian coordinate system, and use the center of each vortex as the coordinate point to obtain the array position matrix. However back A polar coordinate system is defined for each optical vortex with the coordinate point in the position matrix as the origin, and a rotation angle is added to its angular coordinate to obtain a rectangular coordinate system with a certain angle; after that, an asymmetric transformation is performed to realize the optical vortex Transform the rectangular coordinate system to obtain an elliptical coordinate system with different directions. By substituting the above position matrix and elliptical coordinate system into the formula, the complex transmission of the elliptical optical vortex array mask with controllable direction can be obtained. rate function, the mask plate obtained by the present invention produces an elliptical optical vortex array controllable in the long-axis direction in the far field. The long-axis direction of each elliptical optical vortex can be obtained from the change of the corresponding angular component of the polar coordinate system, which has important application value in the field of light-induced material orientation molding.

Description

technical field [0001] The invention relates to the field of directional molding of light-induced materials, in particular to a design method of a direction-controllable elliptical optical vortex array mask. Background technique [0002] In the past ten years, optical vortex has important applications in the fields of optical communication, optical microscopy, and chiral microstructure formation. The optical vortex array has multi-channel synchronous processing capability because it has multiple optical vortexes, which improves the application dimension of the above-mentioned fields. Regarding the generation and regulation of optical vortex arrays, researchers have proposed a variety of ways to obtain arrays with more general patterns. In 2015, Changhe Zhou's research group [Opt.Lett.40,2513(2015)] used a two-dimensional coded continuous phase grating to produce a square "quasi-perfect" optical vortex array according to the different diffraction orders. The vortex in the ar...

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Problems solved by technology

[0003] To sum up, in the field of directional molding of light-induced materials, there is still a lack of a direction-controllable optical vortex array to meet the needs of arrays in different directions in this field.

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