准随机点阵二维叉形光栅的设计与表征

doi:10.13209/j.0479-8023.2025.056

北京大学学报（自然科学版） ›› 2025, Vol. 61 ›› Issue (4): 650-658.DOI: 10.13209/j.0479-8023.2025.056

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. 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

收稿日期:2024-06-19 修回日期:2024-10-07 出版日期:2025-07-20 发布日期:2025-07-20
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

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

HU Huakui^1,2,†, DING Jiangtao^1,2, JIANG Haifeng^1,2, WU Weifeng^1,2, XU Huajie^1,2

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

摘要/Abstract

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

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

胡华奎, 丁江涛, 江海锋, 吴卫锋, 徐华结. 准随机点阵二维叉形光栅的设计与表征[J]. 北京大学学报（自然科学版）, 2025, 61(4): 650-658.

HU Huakui, DING Jiangtao, JIANG Haifeng, WU Weifeng, XU Huajie. Design and Characterization of Quasi-random-dots Two-dimensional Fork Gratings[J]. Acta Scientiarum Naturalium Universitatis Pekinensis, 2025, 61(4): 650-658.

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链接本文: https://xbna.pku.edu.cn/CN/10.13209/j.0479-8023.2025.056

https://xbna.pku.edu.cn/CN/Y2025/V61/I4/650

[1]	颜学庆,陆元荣,吴瑜,张宏林,高淑丽,方家驯. RFQ电极参数计算和加工程序 — RFQPOLE[J]. 北京大学学报（自然科学版）, 2002, 38(1): 39-43.
[2]	吴瑜. RFQ加速器电极参数的计算[J]. 北京大学学报（自然科学版）, 1999, 35(3): 351-355.

准随机点阵二维叉形光栅的设计与表征

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

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