SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS

doi:10.1137/20M1352879

CSpace > 应用数学研究所

	SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS
	Ji, Xia 1,2; Liu, Xiaodong3,4
	2021
发表期刊	SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN	0036-1399
卷号	81 期号:6 页码:2387-2404
摘要	We consider the reconstruction of acoustic sources with multifrequency sparse scattered fields. Specifically, we shall use the multifrequency scattered fields at finitely many measurement points to prove some uniqueness results and introduce three numerical schemes. The underlying sources can be an extended source or a sum of monopoles and dipoles. At a fixed measurement point, we show that the spheres centered at the point passing through the point sources can be uniquely determined by the multifrequency scattered fields. For M multipolar point sources, the uniqueness for locating the positions and recovering scattering strengths has been proved using multifrequency scattered fields for at most 6M + 1 measurement points. For an extended source, we show that the smallest annular containing the source centered at the measurement point can be uniquely determined by the multifrequency scattered field. Motivated by the uniqueness proofs, we then introduce three schemes for reconstructing the sources. Some numerical examples in three dimensions are presented to show the validity and robustness of the proposed numerical schemes.
关键词	multipolar point sources multifrequency scattered fields sparse data sampling method
DOI	10.1137/20M1352879
收录类别	SCI
语种	英语
资助项目	NNSF of China[11971471] ; Youth Innovation Promotion Association, CAS
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000735860100005
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/59776
专题	应用数学研究所
通讯作者	Ji, Xia
作者单位	1.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 2.Beijing Inst Technol, Beijing Key Lab MCAACI, Beijing 100081, Peoples R China 3.Chinese Acad Sci, NCMIS, 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	Ji, Xia,Liu, Xiaodong. SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS[J]. SIAM JOURNAL ON APPLIED MATHEMATICS,2021,81(6):2387-2404.
APA	Ji, Xia,&Liu, Xiaodong.(2021).SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS.SIAM JOURNAL ON APPLIED MATHEMATICS,81(6),2387-2404.
MLA	Ji, Xia,et al."SOURCE RECONSTRUCTION WITH MULTIFREQUENCY SPARSE SCATTERED FIELDS".SIAM JOURNAL ON APPLIED MATHEMATICS 81.6(2021):2387-2404.