KMS Of Academy of mathematics and systems sciences, CAS
MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS | |
Liu, Xiaodong1; Meng, Shixu1; Zhang, Bo2,3,4 | |
2022 | |
发表期刊 | SIAM JOURNAL ON APPLIED MATHEMATICS |
ISSN | 0036-1399 |
卷号 | 82期号:1页码:244-266 |
摘要 | This paper investigates the inverse scattering problems using sampling methods with near field measurements. The near field measurements appear in two classical inverse scattering problems: inverse scattering for obstacles and interior inverse scattering for cavities. We propose modified sampling methods to treat these two classical problems using near field measurements without making any asymptotic assumptions on the distance between the measurement surface and the scatterers. We provide theoretical justifications based on the factorization of the near field operator in both the symmetric factorization case and the nonsymmetric factorization case. Furthermore, we introduce a data completion algorithm which allows us to apply the modified sampling methods to treat the limited-aperture inverse scattering problems. Finally, numerical examples are provided to illustrate the modified sampling methods with both full-and limited-aperture near field measurements. |
关键词 | inverse scattering sampling method near field measurements limited-aperture |
DOI | 10.1137/21M1432235 |
收录类别 | SCI |
语种 | 英语 |
资助项目 | NNSF of China[11971471] ; Youth Innovation Promotion Association, CAS ; National Key R\&D Program of China[2018YFA0702502] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied |
WOS记录号 | WOS:000760381000011 |
出版者 | SIAM PUBLICATIONS |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/60161 |
专题 | 应用数学研究所 |
通讯作者 | Meng, Shixu |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Liu, Xiaodong,Meng, Shixu,Zhang, Bo. MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2022,82(1):244-266. |
APA | Liu, Xiaodong,Meng, Shixu,&Zhang, Bo.(2022).MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS.SIAM JOURNAL ON APPLIED MATHEMATICS,82(1),244-266. |
MLA | Liu, Xiaodong,et al."MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS".SIAM JOURNAL ON APPLIED MATHEMATICS 82.1(2022):244-266. |
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