Data recovery in inverse scattering: From limited-aperture to full-aperture

doi:10.1016/j.jcp.2018.10.036

CSpace > 应用数学研究所

	Data recovery in inverse scattering: From limited-aperture to full-aperture
	Liu, Xiaodong1 ; Sun, Jiguang 2,3
	2019-06-01
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	386 页码:350-364
摘要	Inverse scattering has been an active research area for the past thirty years. While very successful in many cases, progress has lagged when only limited-aperture measurement is available. In this paper, we perform some elementary study to recover data that can not be measured directly. In particular, we aim at recovering the full-aperture far field data from limited-aperture measurement. Due to the reciprocity relation, the multi-static response matrix (MSR) has a symmetric structure. Using the Green's formula and single layer potential, we propose two schemes to recover full-aperture MSR. The recovered data is tested by a recently proposed direct sampling method and the factorization method. Numerical results show that it is possible to, at least, partially recover the missing data and consequently improve the reconstruction of the scatterer. (C) 2018 Elsevier Inc. All rights reserved.
关键词	Inverse scattering Multi-static response matrix Limited-aperture Data recovery
DOI	10.1016/j.jcp.2018.10.036
语种	英语
资助项目	Youth Innovation Promotion Association CAS ; NNSF of China[11571355] ; NNSF of China[11771068]
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000464675600016
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34442
专题	应用数学研究所
通讯作者	Sun, Jiguang
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA 3.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaodong,Sun, Jiguang. Data recovery in inverse scattering: From limited-aperture to full-aperture[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2019,386:350-364.
APA	Liu, Xiaodong,&Sun, Jiguang.(2019).Data recovery in inverse scattering: From limited-aperture to full-aperture.JOURNAL OF COMPUTATIONAL PHYSICS,386,350-364.
MLA	Liu, Xiaodong,et al."Data recovery in inverse scattering: From limited-aperture to full-aperture".JOURNAL OF COMPUTATIONAL PHYSICS 386(2019):350-364.