Stability analysis of FDTD to UPML for time dependent Maxwell equations

被引：12
|
作者：
Fang NengSheng [2 ,3 ]
Ying Lung-An [1 ]
机构：
[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
[2] SW Univ Finance & Econ, Sch Finance, Chengdu 610074, Peoples R China
[3] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
SCIENCE IN CHINA SERIES A-MATHEMATICS | 2009年 / 52卷 / 04期
关键词：
Maxwell's equations; uniaxial perfectly matched layer; initial-boundary value problem; stability; FDTD; PERFECTLY MATCHED LAYER; PML; SCATTERING; ABSORPTION;
D O I：
10.1007/s11425-009-0015-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study an finite-difference time-domain (FDTD) system of uniaxial perfectly matched layer (UPML) method for electromagnetic scattering problems. Particularly we analyze the discrete initial-boundary value problems of the transverse magnetic mode (TM) to Maxwell's equations with Yee's algorithm. An exterior domain in two spacial dimension is truncated by a square with a perfectly matched layer filled by a certain artificial medium. Besides, an artificial boundary condition is imposed on the outer boundary of the UPML. Using energy method, we obtain the stability of this FDTD system on the truncated domain. Numerical experiments are designed to approve the theoretical analysis.
引用
收藏
页码：794 / 816
页数：23
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