A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency

doi:10.1088/1361-6420/aa777d

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	A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency
	Liu, Xiaodong
刊名	INVERSE PROBLEMS
	2017-08-01
卷号	33 期号:8 页码:20
关键词	acoustic scattering scattering amplitude bessel functions multiple multiscale
ISSN号	0266-5611
DOI	10.1088/1361-6420/aa777d
英文摘要	A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very easy and simple to implement. With the help of the factorization of the far field operator, we establish an inf-criterion for characterization of underlying scatterers. This result is then used to give a lower bound of the proposed indicator functional for sampling points inside the scatterers. While for the sampling points outside the scatterers, we show that the indicator functional decays like the bessel functions as the sampling point goes away from the boundary of the scatterers. We also show that the proposed indicator functional continuously depends on the scattering amplitude, this further implies that the novel sampling method is extremely stable with respect to errors in the data. Different to the classical sampling method such as the linear sampling method or the factorization method, from the numerical point of view, the novel indicator takes its maximum near the boundary of the underlying target and decays like the bessel functions as the sampling points go away from the boundary. The numerical simulations also show that the proposed sampling method can deal with multiple multiscale case, even the different components are close to each other.
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000406522600004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/440]
专题	应用数学研究所
通讯作者	Liu, Xiaodong
作者单位	Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaodong. A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency[J]. INVERSE PROBLEMS,2017,33(8):20.
APA	Liu, Xiaodong.(2017).A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency.INVERSE PROBLEMS,33(8),20.
MLA	Liu, Xiaodong."A novel sampling method for multiple multiscale targets from scattering amplitudes at a fixed frequency".INVERSE PROBLEMS 33.8(2017):20.