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

文献类型：期刊论文

作者Liu, Xiaodong3; Sun, Jiguang1,2
刊名JOURNAL OF COMPUTATIONAL PHYSICS
出版日期2019-06-01
卷号386页码:350-364
关键词Inverse scattering Multi-static response matrix Limited-aperture Data recovery
ISSN号0021-9991
DOI10.1016/j.jcp.2018.10.036
英文摘要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.
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
语种英语
WOS记录号WOS:000464675600016
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34441]  
专题应用数学研究所
通讯作者Sun, Jiguang
作者单位1.Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA
2.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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