物理学报2011，Vol.60Issue(11)：285-294,10.
拉盖尔-高斯光束在界面反射和折射的质心偏移特性研究
Shifts of beam centroid of Laguerre-Gaussian beams reflected and refracted at a dielectric interface
摘要
Abstract
We study shifts of the beam centroid of linearly polarized paraxial Laguerre-Gaussian beams reflected and refracted at an interface of isotropic dielectric in the cylindrical coordinate system.According to the Fresnel approximation and the Taylor series expansion,we derive analytical expressions for transverse and longitudinal shifts and their general relationship with topological charge in the cases of partial and total reflection,respectively.It is shown that in the partial reflection regime,transverse shifts of both reflected and refracted beams are in proportion to the topological charge of beams and their directions are determined by the sign of the topological charge,while only the value of longitudinal shift is related to the topological charge.In the regime of total reflection,the shift of reflected beam centroid is independent of topological charge.To verify our analytical results,we perform numerical simulations of the shifts of reflected and refracted beams directly and indicate the applicable condition of the analytical expressions.The shifts of the beam centroid can be applied to the measurement of the topological charge and radial node number of Laguerre-Gaussian beams,which is of significance for information encoding and communication.关键词
拉盖尔-高斯光束/横向偏移/纵向偏移/拓扑荷Key words
Laguerre-Gaussian beams/transverse shifts/longitudinal shifts/topological charge分类
数理科学引用本文复制引用
欧军,江月松,黎芳,刘丽..拉盖尔-高斯光束在界面反射和折射的质心偏移特性研究[J].物理学报,2011,60(11):285-294,10.基金项目
国家重点基础研究发展计划（批准号：2011CB707001）资助的课题 （）
