Debye Sources and the Numerical Solution of the Time Harmonic Maxwell Equations II

被引：31
|
作者：
Epstein, Charles L. [1 ,2 ]
Greengard, Leslie [3 ]
O'Neil, Michael [3 ]
机构：
[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA
[2] Univ Penn, Dept Radiol, Philadelphia, PA 19104 USA
[3] Courant Inst, New York, NY 10012 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2013年 / 66卷 / 05期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1002/cpa.21420
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we develop a new integral representation for the solution of the time harmonic Maxwell equations in media with piecewise constant dielectric permittivity and magnetic permeability in R-3. This representation leads to a coupled system of Fredholm integral equations of the second kind for four scalar densities supported on the material interface. Like the classical Muller equation, it has no spurious resonances. Unlike the classical approach, however, the representation does not suffer from low-frequency breakdown. We illustrate the performance of the method with numerical examples. (c) 2012 Wiley Periodicals, Inc.
引用
收藏
页码：753 / 789
页数：37
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