Unique determination of a sound-soft ball by the modulus of a single far field datum

doi:10.1016/j.jmaa.2009.11.031

CSpace > 应用数学研究所

	Unique determination of a sound-soft ball by the modulus of a single far field datum
	Liu, Xiaodong; Zhang, Bo1
	2010-03-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	365 期号:2 页码:619-624
摘要	In this paper, we prove uniqueness in determining a sound-soft ball in inverse acoustic scattering by the modulus of the far field patterns. Since the modulus of the far field pattern is invariant tinder translation (Kress and Rundell, 1997 [6], Kwon and Seo, 2000 [7]), we can only reconstruct the shape of the obstacle but not the location. Assume that the ball is centered at the origin. Under the condition that the ball is small, it is uniquely determined by the modulus of a single far field datum measured at a fixed spot corresponding to a single incident plane wave. (C) 2009 Elsevier Inc. All rights reserved.
关键词	Uniqueness Inverse acoustic scattering Modulus of the far field pattern Sound-soft ball
DOI	10.1016/j.jmaa.2009.11.031
语种	英语
资助项目	NNSF of China[10671201]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000274351200018
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/9874
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, Inst Appl Math, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Xiaodong,Zhang, Bo. Unique determination of a sound-soft ball by the modulus of a single far field datum[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2010,365(2):619-624.
APA	Liu, Xiaodong,&Zhang, Bo.(2010).Unique determination of a sound-soft ball by the modulus of a single far field datum.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,365(2),619-624.
MLA	Liu, Xiaodong,et al."Unique determination of a sound-soft ball by the modulus of a single far field datum".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 365.2(2010):619-624.