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Recovering multiscale buried anomalies in a two-layered medium
Li, Jingzhi1; Li, Peijun2; Liu, Hongyu3; Liu, Xiaodong4
2015-10-01
发表期刊INVERSE PROBLEMS
ISSN0266-5611
卷号31期号:10页码:28
摘要We develop an inverse scattering scheme of recovering impenetrable anomalies buried in a two-layered medium. The recovery scheme works in a rather general setting and possesses several salient features. It makes use of a single far-field measurement in the half-space above the anomalies, and works independently of the physical properties of the anomalies. There might be anomalous components of multiscale sizes presented simultaneously. Moreover, the proposed scheme is of a totally direct nature without any inversion involved, and hence it is very fast and robust against measurement noise. Both theoretical foundation and numerical experiments are presented. This extends related results in the literature on recovering multiscale scatterers located in a homogeneous space.
关键词inverse scattering buried anomalies recovery scheme single measurement multiscale
DOI10.1088/0266-5611/31/10/105006
语种英语
资助项目NNSF of China[11201453] ; NNSF of China[11101412] ; NNSF of China[11371115] ; NSF[DMS-1151308] ; Hong Kong RGC General Research Fund[HKBU 12302415] ; FRG grants of Hong Kong Baptist University ; Science Research Foundation of Heilongjiang Province Educational Committee[12531139] ; National Center for Mathematics and Interdisciplinary Sciences, CAS
WOS研究方向Mathematics ; Physics
WOS类目Mathematics, Applied ; Physics, Mathematical
WOS记录号WOS:000366724100006
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/21498
专题应用数学研究所
通讯作者Liu, Hongyu
作者单位1.South Univ Sci & Technol China, Fac Sci, Shenzhen 518055, Peoples R China
2.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
3.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
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GB/T 7714
Li, Jingzhi,Li, Peijun,Liu, Hongyu,et al. Recovering multiscale buried anomalies in a two-layered medium[J]. INVERSE PROBLEMS,2015,31(10):28.
APA Li, Jingzhi,Li, Peijun,Liu, Hongyu,&Liu, Xiaodong.(2015).Recovering multiscale buried anomalies in a two-layered medium.INVERSE PROBLEMS,31(10),28.
MLA Li, Jingzhi,et al."Recovering multiscale buried anomalies in a two-layered medium".INVERSE PROBLEMS 31.10(2015):28.
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