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Data recovery in inverse scattering: From limited-aperture to full-aperture
Liu, Xiaodong1; Sun, Jiguang2,3
AbstractInverse 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.
KeywordInverse scattering Multi-static response matrix Limited-aperture Data recovery
Funding ProjectYouth Innovation Promotion Association CAS ; NNSF of China[11571355] ; NNSF of China[11771068]
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000464675600016
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Document Type期刊论文
Corresponding AuthorSun, Jiguang
Affiliation1.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
Recommended Citation
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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