A new FDTD scheme for Maxwell's equations in Kerr-type nonlinear media

被引：12
|
作者：
Jia, Hongen [1 ]
Li, Jichun [2 ]
Fang, Zhiwei [2 ]
Li, Ming [1 ]
机构：
[1] Taiyuan Univ Technol, Coll Math, Taiyuan 030024, Shanxi, Peoples R China
[2] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
来源：
NUMERICAL ALGORITHMS | 2019年 / 82卷 / 01期
关键词：
Maxwell's equations; FDTD method; Kerr medium; Soliton; Nonlinear media; PERFECTLY MATCHED LAYER; FINITE-ELEMENT-METHOD; PROPAGATION; FORMULATION;
D O I：
10.1007/s11075-018-0602-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a totally new direct finite difference solver for solving the Maxwell's equations in Kerr-type nonlinear media. The direct method is free of iteration error and more efficient than the classic iteration method. We also prove the continuous stability for the Kerr model and the discrete stability for the proposed scheme. Extensive numerical results are presented to validate our analysis.
引用
收藏
页码：223 / 243
页数：21
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