Maxwell's equations in an unbounded structure

doi:10.1002/mma.3994

	Maxwell's equations in an unbounded structure
	Li, Peijun 1; Zheng, Gaofeng 2; Zheng, Weiying3
	2017-02-01
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
卷号	40 期号:3 页码:573-588
摘要	This paper is concerned with the mathematical analysis of the electromagnetic wave scattering by an unbounded dielectric medium, which is mounted on a perfectly conducting infinite plane. By introducing a transparent boundary condition on a plane surface confining the medium, the scattering problem is modeled as a boundary value problem of Maxwell's equations. Based on a variational formulation, the problem is shown to have a unique weak solution for a wide class of dielectric permittivity and magnetic permeability by using the generalized Lax-Milgram theorem. Copyright (C) 2016 John Wiley & Sons, Ltd.
关键词	Maxwell's equations generalized Lax-Milgram theorem unbounded rough surface
DOI	10.1002/mma.3994
语种	英语
资助项目	NSF[DMS-1151308] ; NSFC[11171126] ; NSFC[11031006] ; NSFC[11171334] ; Program for Changjiang Scholars and Innovative Research Team in University[IRT13066] ; Funds for Creative Research Groups of China[11021101] ; National 863 Project of China[2012AA01A309] ; National Magnetic Confinement Fusion Science Program[2011GB105003]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000396900600006
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24978
专题	计算数学与科学工程计算研究所
通讯作者	Li, Peijun
作者单位	1.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA 2.Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Peijun,Zheng, Gaofeng,Zheng, Weiying. Maxwell's equations in an unbounded structure[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2017,40(3):573-588.
APA	Li, Peijun,Zheng, Gaofeng,&Zheng, Weiying.(2017).Maxwell's equations in an unbounded structure.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,40(3),573-588.
MLA	Li, Peijun,et al."Maxwell's equations in an unbounded structure".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 40.3(2017):573-588.