Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data

doi:10.1137/16M1097997

CORC > 上海财经大学 > 上海财经大学

	Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data
	Ding, Meng 1; Li, Jianliang 2; Liu, Keji 3; Yang, Jiaqing 4
刊名	SIAM JOURNAL ON IMAGING SCIENCES
	2017
卷号	10 期号:3 页码:1579-1602
关键词	inverse scattering local rough surface sampling method near-field data
ISSN号	1936-4954
DOI	10.1137/16M1097997
英文摘要	Consider the scattering of a time-harmonic point source from an unbounded rough surface. The surface is assumed to be different from a plane surface over a finite interval, which leads to the situation that the model problem can be reduced to an equivalent boundary value problem with compactly supported boundary data. Well-posedness is thus proved by employing the variational method with classical Fredholm theory. By constructing a modified near-field equation, we then propose a novel sampling-type method for reconstructing the shape and location of the local rough surface, yielding a fast imaging algorithm. Numerical experiments are presented to illustrate the effectiveness of the method.
WOS研究方向	Computer Science ; Mathematics ; Imaging Science & Photographic Technology
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000412157400020
内容类型	期刊论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/2975]
专题	上海财经大学
通讯作者	Yang, Jiaqing
作者单位	1.Beijing Informat Sci & Technol Univ, Sch Comp Sci, Beijing 100101, Peoples R China; 2.Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China; 3.Shanghai Univ Finance & Econ, Sch Math, Shanghai Key Lab Financial Informat Technol, Shanghai 200433, Peoples R China; 4.Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Ding, Meng,Li, Jianliang,Liu, Keji,et al. Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data[J]. SIAM JOURNAL ON IMAGING SCIENCES,2017,10(3):1579-1602.
APA	Ding, Meng,Li, Jianliang,Liu, Keji,&Yang, Jiaqing.(2017).Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data.SIAM JOURNAL ON IMAGING SCIENCES,10(3),1579-1602.
MLA	Ding, Meng,et al."Imaging of Local Rough Surfaces by the Linear Sampling Method with Near-Field Data".SIAM JOURNAL ON IMAGING SCIENCES 10.3(2017):1579-1602.