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

doi:10.1080/00036811.2016.1192141

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	The Kirsch-Kress method for inverse scattering by infinite locally rough interfaces
	Li, Jianliang 1; Sun, Guanying 2; Zhang, Bo3,4
刊名	APPLICABLE ANALYSIS
	2017
卷号	96 期号:1 页码:85-107
关键词	Inverse scattering Helmholtz equation locally rough interface transmission problem the Kirsch-Kress approach
ISSN号	0003-6811
DOI	10.1080/00036811.2016.1192141
英文摘要	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.
资助项目	NNSF of China[61379093] ; NNSF of China[91430102]
WOS研究方向	Mathematics
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000390670600007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/24447]
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.