Compact formulation of the beam shape coefficients for elliptical Gaussian beam based on localized approximation

被引:8
作者
Shen, Jianqi [1 ]
Jia, Xiaowei [1 ]
Yu, Haitao [1 ]
机构
[1] Univ Shanghai Sci & Technol, Shanghai 200093, Peoples R China
基金
中国国家自然科学基金;
关键词
LORENZ-MIE THEORY; LASER-SHEET; RIGOROUS JUSTIFICATION; LIGHT-SCATTERING; BESSEL-FUNCTIONS; AXIS BEAMS; COMPUTATIONS; ALGORITHM; COMPUTE; MODELS;
D O I
10.1364/JOSAA.33.002256
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
It has been proved that localized approximation (LA) is the most efficient way to evaluate the beam shape coefficients (BSCs) in generalized Lorenz-Mie theory. The BSCs are usually expressed in the form of multiple summations of an infinite series of terms, which is cumbersome to calculate, and the infinite series is frequently slowly convergent. In this paper, we present a compact expression of the BSCs for an elliptical Gaussian beam based on the LA that is more convenient and efficient for numerical computations. A comparison with the integral LA is made, showing the reliability, stability, and efficiency of the presented formulation. (C) 2016 Optical Society of America
引用
收藏
页码:2256 / 2263
页数:8
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