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MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS

文献类型：期刊论文

作者Liu, Xiaodong4; Meng, Shixu4; Zhang, Bo1,2,3
刊名SIAM JOURNAL ON APPLIED MATHEMATICS
出版日期2022
卷号82期号:1页码:244-266
ISSN号0036-1399
关键词inverse scattering sampling method near field measurements limited-aperture
DOI10.1137/21M1432235
英文摘要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.
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
语种英语
出版者SIAM PUBLICATIONS
WOS记录号WOS:000760381000011
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60160]  
专题应用数学研究所
通讯作者Meng, Shixu
作者单位1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, 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.

入库方式： OAI收割

来源：数学与系统科学研究院

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