Unique determination of a perfectly conducting ball by a finite number of electric far field data

doi:10.1016/j.jmaa.2008.09.016

CSpace > 应用数学研究所

	Unique determination of a perfectly conducting ball by a finite number of electric far field data
	Hu, Guanghui ; Liu, Xiaodong; Zhang, Bo1
	2009-04-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	352 期号:2 页码:861-871
摘要	In this paper, we prove uniqueness in determining a perfectly conducting ball in the inverse electromagnetic scattering problem by a finite number of electric far field patterns with a single incident direction and polarization. It is emphasized that we use only one electric far field pattern datum to uniquely determine the radius of a ball if it is centered at the origin with radius R < root 2/k. Furthermore, if its center was not given as a prior information, three more measurement data Must be added to uniquely determine its center. The main tool used here is some new results on zeros of spherical Bessel and spherical Neumann functions. (C) 2008 Elsevier Inc. All rights reserved.
关键词	Uniqueness Inverse electromagnetic scattering Far field pattern Perfectly conducting ball
DOI	10.1016/j.jmaa.2008.09.016
语种	英语
资助项目	NNSF of China[10671201] ; Chinese Academy of Sciences through the Hundred Talents Program
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000264730200032
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7137
专题	应用数学研究所
通讯作者	Zhang, Bo
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hu, Guanghui,Liu, Xiaodong,Zhang, Bo. Unique determination of a perfectly conducting ball by a finite number of electric far field data[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2009,352(2):861-871.
APA	Hu, Guanghui,Liu, Xiaodong,&Zhang, Bo.(2009).Unique determination of a perfectly conducting ball by a finite number of electric far field data.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,352(2),861-871.
MLA	Hu, Guanghui,et al."Unique determination of a perfectly conducting ball by a finite number of electric far field data".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 352.2(2009):861-871.