无衍射光束簇  

Family of Non-Diffractting Beam

作　　者：王硕琛 梅小华[1] 谢晓霞[1,2] 吴逢铁[1,2] 

机构地区：[1]华侨大学信息科学与工程学院,福建厦门361021 [2]福建省光传输与变换重点实验室,福建厦门361021

出　　处：《华侨大学学报（自然科学版）》2016年第2期149-154,共6页Journal of Huaqiao University(Natural Science)

基　　金：国家自然科学基金资助项目(61178015);福建省科技创新平台计划项目(2012H2002);福建省泉州市科技重点项目(2013Z20;2014Z127)

摘　　要：波动方程在笛卡尔坐标系、圆柱坐标系、椭圆柱坐标系及抛物线坐标系下可求得无衍射解,分别是余弦(Cos)光束、贝塞尔(Bessel)光束、马蒂厄(Mathieu)光束和抛物线(Parabolic)光束,它们组成了无衍射光束家族(又称亥姆霍兹光束).介绍这4种光束的具体表达式及光强分布图和自重建过程.最后,对4种无衍射光束进行比较,总结了无衍射光束的应用热点,并展望未来.Non-diffraction solutions of wave equation can be obtained in Cartesian coordinates,cylindrical coordinates,elliptical cylindrical coordinates and parabolic coordinates,those are Cos（Cosine）beam,Bessel beam,Mathieu beam and Parabolic beam,and they make up the non-diffracting family（also known as Helmholtz beam）.In this article,we introduce their specific expression,beam intensity distribution and self-reconstruction process.At last the four non-diffracting beam were compared to each other,and we sum up the hot applications of the diffraction-free beam and look to the future.

关 键 词：无衍射光束 光强分布图 自重建 光束表达式 

分 类 号：O436.1[机械工程—光学工程]