Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data

doi:10.1016/j.jcp.2022.111550

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	Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data
	Dou, Fangfang 1; Liu, Xiaodong2 ; Meng, Shixu2 ; Zhang, Bo2,3
	2022-11-15
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
ISSN	0021-9991
卷号	469 页码:17
摘要	Limited-aperture data brings great challenge for inverse scattering problems. The limited -aperture problem we are particularly interested in is the limited-aperture & ldquo;backscattering & rdquo; problem where both the incident and observation directions are on the same aperture. Other than directly using the limited-aperture data, we introduce two data completion algorithms to recover the full-aperture data. With the reconstructed full-aperture data, we then apply the factorization method and direct sampling method for the object reconstruction. Both of the data completion algorithms, though derived in different ways, share the same key ingredient: the limited-aperture data is related to the full-aperture data via the prolate matrix. In the first algorithm we represent the full-aperture data in the form of double Fourier series, and relate the corresponding Fourier coefficients to the limited -aperture data via two prolate matrices. This fundamental idea and algorithm motivate the second algorithm: for each incident direction, we represent the full-aperture data by the single layer potential, and relate the Fourier coefficients of the density to the limited -aperture data via the prolate matrix. The second algorithm can be seen as a & ldquo;direction -wise & rdquo; algorithm. Both of the data completion algorithms are independent of the topological and physical properties of the unknown scatterers. A variety of numerical examples are presented to illustrate the effectiveness and robustness of the data completion algorithms with the sampling methods. (c) 2022 Elsevier Inc. All rights reserved. Superscript/Subscript Available
关键词	Inverse acoustic scattering Limited aperture Backscattering data Data completion Direct sampling method Factorization method
DOI	10.1016/j.jcp.2022.111550
收录类别	SCI
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000859665600004
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/60936
专题	应用数学研究所
通讯作者	Meng, Shixu
作者单位	1.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Dou, Fangfang,Liu, Xiaodong,Meng, Shixu,et al. Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2022,469:17.
APA	Dou, Fangfang,Liu, Xiaodong,Meng, Shixu,&Zhang, Bo.(2022).Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data.JOURNAL OF COMPUTATIONAL PHYSICS,469,17.
MLA	Dou, Fangfang,et al."Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data".JOURNAL OF COMPUTATIONAL PHYSICS 469(2022):17.