规则截面无限长柱体的光散射研究  

Study on light scattering by an infinite cylinder of regular cross section

作　　者：颜兵[1] 张华永[2] 陈平[1] 刘晨华 YAN Bing;ZHANG Huayong;CHEN Ping;LIU Chenhua(Shool of Information and Communication Engineering,North University of China,Taiyuan 030051,China;Shool of Electronics and Information Engineering,Anhui University,Hefei 230039,China;Application Science Institute,Taiyuan University of Science and Technology,Taiyuan 030024,China)

机构地区：[1]中北大学信息与通信工程学院,太原030051 [2]安徽大学电子信息工程学院,合肥230039 [3]太原科技大学应用科学研究所,太原030024

出　　处：《激光技术》2025年第1期62-66,共5页Laser Technology

基　　金：山西省自然科学基金资助项目(202203021211095);中北大学信息探测与处理山西省重点实验室开放基金资助项目。

摘　　要：为了研究任意规则截面的无限长柱体对入射光束的散射特性,提出了一种半解析方法。采用适当的圆柱矢量波函数来展开散射场和内场,通过电磁场边界条件和投影法确定展开系数;以基模高斯光束和径向环状光束照射横截面为圆形、椭圆形和矩形的无限长柱体为例,对归一化的近场强度分布进行了数值仿真。结果表明,光束经过圆柱和椭圆柱传输后发生明显的干涉现象,而矩形柱对光束具有一定的汇聚作用。该研究为求解任意规则横截面的无限长柱体对任意光束的散射提供了一个应用方便的半解析解。In order to study the scattering characteristics of the incident beam by an infinite cylinder with arbitrary regular cross section,the semi-analytical method was proposed.Appropriate cylindrical vector wave function was used to expand the scattered field and internal field,and the expansion coefficient was determined by electromagnetic field boundary conditions and projection method.The normalized near-field intensity distribution was numerically simulated by the example of an infinite cylinder with circular,elliptical and rectangular cross-sections irradiated by a fundamental mode Gaussian beam and a radial annular beam.The results show that,there is obvious interference phenomenon after the beam propagates through the cylinder and elliptic cylinder,and the rectangular cylinder has a certain convergence effect on the beam.This study provides a convenient semi-analytical solution for solving the scattering of arbitrary beams by an infinite cylinder with arbitrary regular cross section.

关 键 词：散射 干涉现象 半解析方法 规则截面无限长柱体 圆柱矢量波函数 归一化场强分布 

分 类 号：O436[机械工程—光学工程]