Data recovery in inverse scattering: From limited-aperture to full-aperture | |
Liu, Xiaodong3![]() | |
刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
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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 |
DOI | 10.1016/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 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000464675600016 |
内容类型 | 期刊论文 |
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. |
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