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ELECTROMAGNETIC SCATTERING BY UNBOUNDED ROUGH SURFACES

文献类型：期刊论文

作者Li, Peijun1; Wu, Haijun2; Zheng, Weiying3
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期2011
卷号43期号:3页码:1205-1231
关键词rough surface scattering variational formulation Maxwell's equations transparent boundary condition perfectly matched layer
ISSN号0036-1410
DOI10.1137/100806217
英文摘要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.
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
语种英语
WOS记录号WOS:000292032400007
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/12136]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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