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The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure
Hu, Guanghui3; Zhang, Bo1,2
2011-03-30
发表期刊MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN0170-4214
卷号34期号:5页码:509-519
摘要In this paper, we consider the inverse problem of recovering a doubly periodic Lipschitz structure through the measurement of the scattered field above the structure produced by point sources lying above the structure. The medium above the structure is assumed to be homogeneous and lossless with a positive dielectric coefficient. Below the structure is a perfect conductor partially coated with a dielectric. A periodic version of the linear sampling method is developed to reconstruct the doubly periodic structure using the near field data. In this case, the far field equation defined on the unit ball of R(3) is replaced by the near field equation which is a linear integral equation of the first kind defined on a plane above the periodic surface. Copyright (C) 2010 John Wiley & Sons, Ltd.
关键词inverse problems linear sampling method doubly periodic structure partially coated dielectric
DOI10.1002/mma.1375
语种英语
资助项目NNSF of China[11071244] ; German Research Foundation (DFG)[584/1-2]
WOS研究方向Mathematics
WOS类目Mathematics, Applied
WOS记录号WOS:000288859100002
出版者WILEY-BLACKWELL
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/12598
专题应用数学研究所
通讯作者Zhang, Bo
作者单位1.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany
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GB/T 7714
Hu, Guanghui,Zhang, Bo. The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2011,34(5):509-519.
APA Hu, Guanghui,&Zhang, Bo.(2011).The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,34(5),509-519.
MLA Hu, Guanghui,et al."The linear sampling method for the inverse electromagnetic scattering by a partially coated bi-periodic structure".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 34.5(2011):509-519.
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