Acta Scientiarum Naturalium Universitatis Pekinensis ›› 2025, Vol. 61 ›› Issue (4): 650-658.DOI: 10.13209/j.0479-8023.2025.056

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Design and Characterization of Quasi-random-dots Two-dimensional Fork Gratings

HU Huakui1,2,†, DING Jiangtao1,2, JIANG Haifeng1,2, WU Weifeng1,2, XU Huajie1,2   

  1. 1. College of Mechanical and Electrical Engineering, Chizhou College, Chizhou 247000 2. Research Center of Integrated Circuits  and Embedded Applications, Chizhou College, Chizhou 247000
  • Received:2024-06-19 Revised:2024-10-07 Online:2025-07-20 Published:2025-07-20
  • Contact: HU Huakui, E-mail: huhuakui(at)czu.edu.cn

准随机点阵二维叉形光栅的设计与表征

胡华奎1,2,†, 丁江涛1,2, 江海锋1,2, 吴卫锋1,2, 徐华结1,2   

  1. 1. 池州学院机电工程学院, 池州 247000 2. 池州学院集成电路与嵌入式应用研究中心, 池州 247000
  • 通讯作者: 胡华奎, E-mail: huhuakui(at)czu.edu.cn
  • 基金资助:
    安徽省高校自然科学研究项目(CZ2024ZRZ07, CZ2024YJRC20, CZ2024ZRZ06)资助

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Abstract:

In order to suppress the high-order diffractions of the traditional two-dimensional fork gratings, a single optical element, named quasi-random-dots two-dimensional fork gratings (QTFGs), is proposed, which can realize single-order diffraction for planar structures. The key idea is to divide the traditional two-dimensional sinusoidal fork gratings into a large number of rectangular dots, and binarize these dots. Numerical simulations and experiments show that the quasi-random-dots two-dimensional fork gratings can effectively eliminate second-order and higher-order diffractions, and only retain zero-order and first-order diffractions. In addition, the effects of topological charge, wavelength, and rectangular dot size on diffraction characteristics were analyzed, and these analyses was confirmed that the output beam has a helical phase structure with multiple topological charges.

Key words: diffraction optics, optical vortices, single-order diffraction, quasi-sinusoidal

摘要： 为了抑制传统二维叉形光栅的高级衍射, 提出一种单一的光学元件——准随机点阵二维叉形光栅QTFGs, 将传统二维正弦叉形光栅分割成大量的矩形点阵, 并对矩形点阵进行二值化, 从而实现平面结构的单级衍射。数值模拟和实验结果表明, 准随机点阵二维叉形光栅可以有效地消除二级和更高级的衍射, 只保留零级和一级的衍射。此外, 通过分析拓扑电荷、波长和矩形点阵的尺寸对衍射特性的影响, 证实输出光束具有多拓扑荷的螺旋相位结构。

关键词: 衍射光学, 光学涡旋, 单级衍射, 准正弦

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