Data completion algorithms and their applications in inverse acoustic scattering with limited-aperture backscattering data
文献类型：期刊论文
| 作者 | Dou, Fangfang1; Liu, Xiaodong2 ; Meng, Shixu2; Zhang, Bo2,3
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| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
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| 出版日期 | 2022-11-15 |
| 卷号 | 469页码:17 |
| ISSN号 | 0021-9991 |
| 关键词 | Inverse acoustic scattering Limited aperture Backscattering data Data completion Direct sampling method Factorization method |
| DOI | 10.1016/j.jcp.2022.111550 |
| 英文摘要 | 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.
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| 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:000859665600004 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60935]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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