ANALYSIS OF FDTD TO UPML FOR MAXWELL EQUATIONS IN POLAR COORDINATES

被引：0
|
作者：
Fang Nengsheng [1 ,2 ]
Ying Longan [3 ]
机构：
[1] SW Univ Finance & Econ, Sch Finance, Chengdu 611130, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 05期
关键词：
Maxwell's equations; uniaxial perfectly matched layer; initial boundary value problem; stability; finite difference time domain; polar coordinates; PERFECTLY MATCHED LAYER; PML; SCATTERING; FORMULATION;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An FDTD system associated with uniaxial perfectly matched layer (UPML) for an electromagnetic scattering problem in two-dimensional space in polar coordinates is considered. Particularly the FDTD system of an initial-boundary value problems of the transverse magnetic (TM) mode to Maxwell's equations is obtained by Yee's algorithm, and the open domain of the scattering problem is truncated by a circle with a UPML. Besides, an artificial boundary condition is imposed on the outer boundary of the UPML. Afterwards, stability of the FDTD system on the truncated domain is established through energy estimates by the Gronwall inequality. Numerical experiments are designed to approve the theoretical analysis.
引用
收藏
页码：2007 / 2032
页数：26
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