光子学报, 2017, 46 (11): 1122003, 网络出版: 2017-12-08
基于瑞利-索末菲衍射理论的近场大衍射角衍射光学元件的设计
Design Method for the Near-field Diffractive Optical Elements with Large Diffraction Angle Based on the Rayleigh-Sommerfeld Diffraction Theory
光学设计 衍射光学 衍射光学元件 瑞丽-索末菲积分 计算全息 相位恢复 迭代算法 Optical design Diffractive optics Diffractive optical element Rayleigh-Sommerfeld diffraction theory Computer holography Phase retrieval Iterative algorithm
摘要
提出了一种基于瑞利-索末菲衍射理论的设计方法, 用于近场大衍射角衍射光学元件的设计.研究在大衍射角条件下, 衍射光学元件面和输出面采样点之间应满足的空间位置关系.采用无远场和傍轴近似的正、逆向衍射计算方法对传统盖师贝格-撒克斯通算法进行改进, 得到近场大衍射角衍射光学元件的设计方法.以“田”字形目标光强为例, 将传统设计方法、现有大衍射角衍射光学元件设计方法和本文提出的设计方法进行对比, 结果表明: 在近场区域, 本文方法可以准确重构出大衍射角衍射光学元件的目标光场, 其他两种方法则会导致重构光场产生明显的畸变或者模糊化.
Abstract
A novel method is presented for designing the near-field diffraction optical element (DOE) with large diffraction angle based on the Rayleigh-Sommerfeld diffraction theory. The relation of space position of sampling points between the DOE surface and the receiving surface is studied. The forward and inverse diffraction calculation methods without far-field and paraxial approximation are used. The design method of near-field DOE with large diffraction is obtained by modifying the traditional Gerchberg-Saxton algorithm. Compared with the traditional design method and the existing large diffraction angle design method, the proposed method shows significant advantages on designing the same "田" Shape target pattern. The simulation results show that the target pattern in the near field with large diffraction angle is accurately reconstructed by using the proposed method, while the reconstructed light fields with the other two methods shows dramatical distortion or fuzziness.
李晶, 吴鹏, 杨正, 郑倩颖, 李韬杰, 向阳, 杜春雷, 尹韶云. 基于瑞利-索末菲衍射理论的近场大衍射角衍射光学元件的设计[J]. 光子学报, 2017, 46(11): 1122003. LI Jing, WU Peng, YANG Zheng, ZHENG Qian-ying, LI Tao-jie, XIANG Yang, DU Chun-lei, YIN Shao-yun. Design Method for the Near-field Diffractive Optical Elements with Large Diffraction Angle Based on the Rayleigh-Sommerfeld Diffraction Theory[J]. ACTA PHOTONICA SINICA, 2017, 46(11): 1122003.