An effective z-stretching method for paraxial light beam propagation simulations

被引：10
|
作者：
Gonzalez, Leonel [2 ]
Guha, Shekhar [3 ]
Rogers, James W. [1 ]
Sheng, Qin [1 ]
机构：
[1] Baylor Univ, Dept Math, Ctr Astrophys, Waco, TX 76798 USA
[2] Gen Dynam Informat Technol, Dayton, OH 45431 USA
[3] USAF, Res Lab, Mat & Mfg Directorate, Wright Patterson AFB, OH 45433 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2008年 / 227卷 / 15期
关键词：
light beam propagation; interface singularity; finite difference approximations; domain transformation; consistency; stability; uniform and nonuniform grids;
D O I：
10.1016/j.jcp.2008.04.019
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A z-stretching finite difference method is developed for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain. By introducing a domain transformation in the z-direction, we solve the corresponding complex difference equations containing an interface singularity over a computational space for great simplicity and efficiency. A specially designed matrix analysis is constructed to the study the numerical stability. Computational experiments are carried out for demonstrating our results. (c) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：7264 / 7278
页数：15
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