Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain

被引：4

作者：

Greengard, Leslie ^{[1
]}

Hagstrom, Thomas ^{[2
]}

Jiang, Shidong ^{[3
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

[2] So Methodist Univ, Dept Math, Dallas, TX 75275 USA

[3] New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 299卷

基金：

美国国家科学基金会;

关键词：

Maxwell equations; Debye potentials; Mie series; Vector spherical harmonics; EQUATION; SPHERE;

D O I：

10.1016/j.jcp.2015.07.009

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, we extend the frequency domain Lorenz-Mie-Debye formalism for the Maxwell equations to the time-domain. In particular, we show that the problem of scattering from a perfectly conducting sphere can be reduced to the solution of two scalar wave equations - one with Dirichlet boundary conditions and the other with Robin boundary conditions. An explicit, stable, and high-order numerical scheme is then developed, based on our earlier treatment of the scalar case. This new representation may provide some insight into transient electromagnetic phenomena, and can also serve as a reference solution for general purpose time-domain software packages. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：98 / 105

页数：8

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