Near-field imaging of obstacles with the factorization method: fluid-solid interaction

doi:10.1088/0266-5611/32/1/015003

CSpace > 应用数学研究所

	Near-field imaging of obstacles with the factorization method: fluid-solid interaction
	Yin, Tao 1; Hu, Guanghui 2; Xu, Liwei 1,3; Zhang, Bo4,5
	2016
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	32 期号:1 页码:29
摘要	Consider a time-harmonic acoustic point source incident on a bounded isotropic linearly elastic body immersed in a homogeneous compressible inviscid fluid. This paper is concerned with the inverse fluid-solid interaction problem of recovering the elastic body from near-field data generated by infinitely many incident point source waves at a fixed energy. The incident point sources and the receivers for recording scattered signals are both located on a non-spherical closed surface, on which an outgoing-to-incoming operator is appropriately defined. We provide a theoretical justification of the factorization method for precisely characterizing the scatterer by utilizing the spectrum of the near-field operator. This generalizes the imaging scheme developed in (Hu et al 2014 Inverse Problems 30 095005) to the case when near-field data are measured on non-spherical surfaces. Numerical examples in 2D are demonstrated to show the validity and accuracy of the inversion algorithm, even if limited aperture data are available on one or several line segments.
关键词	inverse scattering fluid-solid interaction problem factorization method near-field imaging Helmholtz equation Navier equation
DOI	10.1088/0266-5611/32/1/015003
语种	英语
资助项目	China Scholarship Council ; NNSFC[11371385] ; NNSFC[11201506] ; NNSFC[61379093] ; NNSFC[91430102] ; German Research Foundation (DFG)[HU 2111/1-2] ; Start-up fund of Youth 1000 plan of China ; Youth 100 plan of Chongqing University
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000372370400003
出版者	IOP PUBLISHING 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/22371
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Chongqing Univ, Coll Math & Stat, Chongqing, Peoples R China 2.Weierstrass Inst, Berlin, Germany 3.Chongqing Univ, Inst Comp & Data Sci, Chongqing, Peoples R China 4.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 5.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yin, Tao,Hu, Guanghui,Xu, Liwei,et al. Near-field imaging of obstacles with the factorization method: fluid-solid interaction[J]. INVERSE PROBLEMS,2016,32(1):29.
APA	Yin, Tao,Hu, Guanghui,Xu, Liwei,&Zhang, Bo.(2016).Near-field imaging of obstacles with the factorization method: fluid-solid interaction.INVERSE PROBLEMS,32(1),29.
MLA	Yin, Tao,et al."Near-field imaging of obstacles with the factorization method: fluid-solid interaction".INVERSE PROBLEMS 32.1(2016):29.