Two transparent boundary conditions for the electromagnetic scattering from two-dimensional overfilled cavities

被引：26
作者：
Du, Kui [1 ,2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2011年 / 230卷 / 15期
基金：
芬兰科学院;
关键词：
Electromagnetic scattering; Overfilled multiple cavities; Transparent boundary conditions; Dirichlet-to-Neumann maps; Mathieu functions; INTEGRAL-EQUATION; ELEMENT-METHOD; FORMULATION; ALGORITHM; NUMBER;
D O I：
10.1016/j.jcp.2011.03.055
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We consider electromagnetic scattering from two-dimensional (2D) overfilled cavities embedded in an infinite ground plane. The unbounded computational domain is truncated to a bounded one by using a transparent boundary condition (TBC) proposed on a semi-ellipse. For overfilled rectangular cavities with homogeneous media, another TBC is introduced on the cavity apertures, which produces a smaller computational domain. The existence and uniqueness of the solutions of the variational formulations for the transverse magnetic and transverse electric polarizations are established. In the exterior domain, the 2D scattering problem is solved in the elliptic coordinate system using the Mathieu functions. In the interior domain, the problem is solved by a finite element method. Numerical experiments show the efficiency and accuracy of the new boundary conditions. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5822 / 5835
页数：14
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