基于Lagrangian Gaussian光束的数值方法

吉林大学学报(理学版)

基于Lagrangian Gaussian光束的数值方法

高景璐¹, 郝永乐¹, 孟品超²

1. 吉林大学数学学院, 长春 130012; 2. 长春理工大学理学院, 长春 130022

收稿日期:2013-03-08 出版日期:2013-11-26 发布日期:2013-11-21
通讯作者: 高景璐 E-mail:jlgao@jlu.edu.cn

Numerical Method Based on Lagrangian Gaussian Beams

GAO Jinglu¹, HAO Yongle^1, MENG Pinchao²

1. College of Mathematics, Jilin University, Changchun 130012, China;2. College of Science, Changchun University of Science and Technology, Chang
chun 130022, China

Received:2013-03-08 Online:2013-11-26 Published:2013-11-21
Contact: GAO Jinglu E-mail:jlgao@jlu.edu.cn

摘要/Abstract

摘要：

给出一种二维非均匀介质波场计算的渐近方法, 该方法基于Lagrangian Gaussian光束(简称LGB)系统的波场数值模拟, 利用任何一个非均匀介质的光束都是独立连续的, 完整的波场即为由所有这些Guassian光束叠加得到的原则构造数值方法, 并用数值结果验证了该方法的有效性.

关键词: Lagrangian Gaussian光束, 高频, 射线追踪系统

Abstract:

The auhtors presented an asymptotic procedure for the computation of wave fields in twodimensional inhomogeneous media. It is based on the simulation of the wave field by a system of Lagrangian Gaussian beams (LGB). Each beam is continued independently through an arbitrary inhomogeneous structure. The complete wave field is then obtained as an integral superposition of all Gaussian beams. Numerical results presented verify the efficiency of our method.

Key words: Lagrangian Gaussian beams (LGB), high frequency, ray tracing system

中图分类号:

O242.1

高景璐, 郝永乐, 孟品超. 基于Lagrangian Gaussian光束的数值方法[J]. 吉林大学学报(理学版), 2013, 51(06): 984-990.

GAO Jinglu, HAO Yongle, MENG Pinchao. Numerical Method Based on Lagrangian Gaussian Beams[J]. Journal of Jilin University Science Edition, 2013, 51(06): 984-990.