NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD

doi:10.1137/18M1181407

CSpace > 应用数学研究所

	NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD
	Liu, Xiaoli 1,2; Zhang, Bo1,2,3 ; Zhang, Haiwen1,4
	2019
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	79 期号:1 页码:153-176
摘要	This paper is concerned with the inverse scattering problem of time-harmonic elastic waves by an unbounded rigid rough surface. A direct imaging method is developed to reconstruct the unbounded rough surface from the elastic scattered near-field Cauchy data generated by point sources. A Helmholtz-Kirchhoff-type identity is derived and then used to provide a theoretical analysis of the direct imaging algorithm. Numerical experiments are presented to show that the direct imaging algorithm is fast, accurate, and robust with respect to noise in the data.
关键词	inverse elastic scattering unbounded rough surface Dirichlet boundary condition direct imaging method near-field Cauchy data
DOI	10.1137/18M1181407
语种	英语
资助项目	NNSF of China[91630309] ; NNSF of China[11501558] ; NNSF of China[11571355] ; NNSF of China[11871466]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000460127100008
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/33455
专题	应用数学研究所
通讯作者	Liu, Xiaoli
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, LSEC, NCMIS, Beijing 100190, Peoples R China 4.Chinese Acad Sci, NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaoli,Zhang, Bo,Zhang, Haiwen. NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2019,79(1):153-176.
APA	Liu, Xiaoli,Zhang, Bo,&Zhang, Haiwen.(2019).NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD.SIAM JOURNAL ON APPLIED MATHEMATICS,79(1),153-176.
MLA	Liu, Xiaoli,et al."NEAR-FIELD IMAGING OF AN UNBOUNDED ELASTIC ROUGH SURFACE WITH A DIRECT IMAGING METHOD".SIAM JOURNAL ON APPLIED MATHEMATICS 79.1(2019):153-176.