Elegant Ince-Gaussian beams in a quadratic-index medium  

作　　者：白志勇 邓冬梅 郭旗 

机构地区：[1]Key Laboratory of Photonic Information Technology of Guangdong Higher Education Institutes,South China Normal University

出　　处：《Chinese Physics B》2011年第9期198-203,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos.10904041 and 10674050);the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No.20094407110008);the Specialized Research Fund for Growing Seedlings of the Higher Education in Guangdong Province,China (Grant No.C10087)

摘　　要：Elegant Ince-Gaussian beams, which are the exact solutions of the paraxial wave equation in a quadratic-index medium, are derived in elliptical coordinates. These kinds of beams are the alternative form of standard Ince-Gaussian beams and they display better symmetry between the ]nce-polynomials and the Gaussian function in mathematics. The transverse intensity distribution and the phase of the elegant Ince Gaussian beams are discussed.Elegant Ince-Gaussian beams, which are the exact solutions of the paraxial wave equation in a quadratic-index medium, are derived in elliptical coordinates. These kinds of beams are the alternative form of standard Ince-Gaussian beams and they display better symmetry between the ]nce-polynomials and the Gaussian function in mathematics. The transverse intensity distribution and the phase of the elegant Ince Gaussian beams are discussed.

关 键 词：elegant Ince-Gaussian beams~ complex variables quadratic-index media elliptic coordi- nates 

分 类 号：O431.2[机械工程—光学工程]