山西大学学报（自然科学版）2025，Vol.48Issue(3)：527-541,15.DOI:10.13451/j.sxu.ns.2025010
涡旋光束的干涉特性研究
Study on the Interference Characteristics of Vortex Beams
摘要
Abstract
In this paper,we used MATLAB(MATrix LABoratory)to simulate the interference patterns of two fractional-order vortex beams(Laguerre-Gaussian beams)with opposite topological charges(l),as well as the interference patterns of two unequal vortex beams(Laguerre-Gaussian beams)with different topological charges,in which the radial indices(p)are arbitrary non-negative inte-gers.Through theoretical analysis,we found that as the topological charges and radial indices of the beams change,the interference patterns of the Laguerre-Gaussian beams change accordingly.The number of spots in the interference pattern of the equal-hetero-dyne fractional-order Laguerre-Gaussian beam is 2||l,and the number of spot layers is p+1;the interference result of the non-equal-heterodyne Laguerre-Gaussian beam is similar to that of the equal-heterodyne Laguerre-Gaussian beam.In the interference pattern of non-equal same-sign Laguerre-Gaussian beams,when the absolute value of the difference in topological charges is small,the num-ber of bright spots is|l2|-|l1|.When this absolute value is large,a pattern of alternating bright and dark concentric rings appears.Our work may provide a new method for measuring the topological charges and radial indices of vortex beams.关键词
涡旋光束/拉盖尔-高斯光束/拓扑荷数/径向指数/干涉Key words
vortex beams/Laguerre-Gaussian beam/number of topological charges/radial index/interference分类
物理学引用本文复制引用
梁成功,杨颖,魏敏,段志炎..涡旋光束的干涉特性研究[J].山西大学学报（自然科学版）,2025,48(3):527-541,15.基金项目
山西省基础研究计划项目(202203021211337 （）
202303021212269 （）
202303021222265) （）
山西省高等学校教学改革创新项目(J2021622 （）
J20231214) （）
山西省高等学校科技创新项目(2024L067) （2024L067）
