ELECTROMAGNETIC SCATTERING BY UNBOUNDED ROUGH SURFACES

doi:10.1137/100806217

	ELECTROMAGNETIC SCATTERING BY UNBOUNDED ROUGH SURFACES
	Li, Peijun 1; Wu, Haijun 2; Zheng, Weiying3
	2011
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	43 期号:3 页码:1205-1231
摘要	This paper is concerned with the analysis of electromagnetic wave scattering in inhomogeneous medium with infinite rough surfaces. Consider a time-harmonic electromagnetic field generated by either a magnetic dipole or an electric dipole incident on an infinite rough surface. The dielectric permittivity is assumed to have a positive imaginary part which accounts for the energy absorption. The scattering problem is modeled as a boundary value problem governed by the Maxwell equations, with transparent boundary conditions proposed on plane surfaces with inhomogeneity in between. The existence and uniqueness of the weak solution for the model problem are established by using a variational approach. The perfectly matched layer (PML) method is investigated to truncate the unbounded rough surface electromagnetic scattering problem in the direction away from the rough surfaces. It is shown that the truncated PML problem attains a unique solution. An explicit error estimate is given between the solution of the scattering problem and that of the truncated PML problem. The error estimate implies that the PML solution converges exponentially to the scattering solution by increasing either the PML medium parameter or the PML layer thickness. The convergence result is expected to be useful for determining the PML medium parameter in the computational electromagnetic scattering problem.
关键词	rough surface scattering variational formulation Maxwell's equations transparent boundary condition perfectly matched layer
DOI	10.1137/100806217
语种	英语
资助项目	NSF[EAR-0724656] ; NSF[DMS-0914595] ; NSF[DMS-1042958] ; national basic research program[2005CB321701] ; China NSF[11071116] ; China NSF[10971096] ; China NSF[60873177] ; National High Technology Research and Development Program of China[2009AA01A134]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000292032400007
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12137
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.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, 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,Wu, Haijun,Zheng, Weiying. ELECTROMAGNETIC SCATTERING BY UNBOUNDED ROUGH SURFACES[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2011,43(3):1205-1231.
APA	Li, Peijun,Wu, Haijun,&Zheng, Weiying.(2011).ELECTROMAGNETIC SCATTERING BY UNBOUNDED ROUGH SURFACES.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,43(3),1205-1231.
MLA	Li, Peijun,et al."ELECTROMAGNETIC SCATTERING BY UNBOUNDED ROUGH SURFACES".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 43.3(2011):1205-1231.