Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data

doi:10.1088/1361-6420/abb5e2

CSpace > 应用数学研究所

	Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data
	Arens,Tilo 1; Ji,Xia 2,3; Liu,Xiaodong4
	2020-09-24
发表期刊	Inverse Problems
ISSN	0266-5611
卷号	36 期号:10
摘要	AbstractThis paper is dedicated to design a direct sampling method of inverse electromagnetic scattering problems, which uses multi-frequency sparse backscattering far field data for reconstructing the boundaries of perfectly conducting obstacles. We show that the smallest strip containing the unknown object can be approximately determined by the multi-frequency backscattering far field data at two opposite observation directions. The proof is based on the Kirchhoff approximation and Fourier transform. Such a strip is then reconstructed by an indicator, which is the absolute value of an integral of the product of the data and some properly chosen function over the frequency interval. With the increase of the number of the backscattering data, the location and shape of the underlying object can be reconstructed. Numerical examples are conducted to show the validity and robustness of the proposed sampling method, even with moderately sized frequencies. The numerical examples also show that the concave part of the underlying object can be well reconstructed, and the different connected components of the underlying object can be well separated.
关键词	electromagnetic obstacle scattering sparse backscattering data uniqueness direct sampling methods
DOI	10.1088/1361-6420/abb5e2
语种	英语
WOS记录号	IOP:0266-5611-36-10-abb5e2
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/52127
专题	应用数学研究所
作者单位	1.Department of Mathematics, Karlsruhe Institute of Technology, 76131 Karlsruhe, Germany 2.School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, People’s Republic of China 3.Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing 100081, People’s Republic of China 4.Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 100190 Beijing, People’s Republic of China
推荐引用方式 GB/T 7714	Arens,Tilo,Ji,Xia,Liu,Xiaodong. Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data[J]. Inverse Problems,2020,36(10).
APA	Arens,Tilo,Ji,Xia,&Liu,Xiaodong.(2020).Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data.Inverse Problems,36(10).
MLA	Arens,Tilo,et al."Inverse electromagnetic obstacle scattering problems with multi-frequency sparse backscattering far field data".Inverse Problems 36.10(2020).