MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS

doi:10.1137/21M1432235

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	MODIFIED SAMPLING METHOD WITH NEAR FIELD MEASUREMENTS
	Liu, Xiaodong 3; Meng, Shixu 3; Zhang, Bo 1,2,4
刊名	SIAM JOURNAL ON APPLIED MATHEMATICS
	2022
卷号	82 期号:1 页码:244-266
关键词	inverse scattering sampling method near field measurements limited-aperture
ISSN号	0036-1399
DOI	10.1137/21M1432235
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
内容类型	期刊论文
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.Chinese Acad Sci, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, 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.