The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces

doi:10.1080/00036811.2016.1192141

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	The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces
	Li, Jianliang 1; Sun, Guanying 2; Zhang, Bo3,4
	2017
发表期刊	APPLICABLE ANALYSIS
ISSN	0003-6811
卷号	96 期号:1 页码:85-107
摘要	This paper is concerned with the inverse problem of reconstructing an infinite, locally rough interface from the scattered field measured on line segments above and below the interface in two dimensions. We extend the Kirsch-Kress method originally developed for inverse obstacle scattering problems to the above inverse transmission problem with unbounded interfaces. To this end, we reformulate our inverse problem as a nonlinear optimization problem with a Tikhonov regularization term. We prove the convergence of the optimization problem when the regularization parameter tends to zero. Finally, numerical experiments are carried out to show the validity of the inversion algorithm.
关键词	Inverse scattering Helmholtz equation locally rough interface transmission problem the Kirsch-Kress approach
DOI	10.1080/00036811.2016.1192141
语种	英语
资助项目	NNSF of China[61379093] ; NNSF of China[91430102]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000390670600007
出版者	TAYLOR & FRANCIS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24448
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha, Hunan, Peoples R China 2.North China Univ Technol, Dept Math, Beijing, Peoples R China 3.Chinese Acad Sci, AMSS, LSEC, Beijing, Peoples R China 4.Chinese Acad Sci, AMSS, Inst Appl Math, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Li, Jianliang,Sun, Guanying,Zhang, Bo. The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces[J]. APPLICABLE ANALYSIS,2017,96(1):85-107.
APA	Li, Jianliang,Sun, Guanying,&Zhang, Bo.(2017).The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces.APPLICABLE ANALYSIS,96(1),85-107.
MLA	Li, Jianliang,et al."The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces".APPLICABLE ANALYSIS 96.1(2017):85-107.