Some properties on far-field pattern of scattering by penetrable obstacle in oce

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Some properties on far-field pattern of scattering by penetrable obstacle in ocean waveguide

This paper is concerned with the properties of propagation far-field patterns corresponding to the scattering of time harmonic acoustic waves by a bounded penetrable obstacle in an ocean waveguide.The sets of solutions to the transmission problem are constructed such that the restriction of these solutions to the boundary of the penetrable obstacle is dense in a Hilbert space.Then conditions under which a set of propagation far-field patterns is complete in a Hilbert space are determined.These properties are important in investigating inverse transmission problems in an ocean waveguide.

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作 者: PAN Wen-feng YOU Yun-xiang MIAO Guo-ping LI Zhuo-qiu  
作者单位:PAN Wen-feng,LI Zhuo-qiu(School of Science,Wuhan University of Technology,Wuhan 430070,P.R.China)
m'H}y gI e xP#{5h0YOU Yun-xiang,MIAO Guo-ping(School of Naval Architecture and Ocean Engineering,Shanghai Jiaotong University,Shanghai 200030,P.R.China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS 
年,卷(期):2008 29(2) 
分类号:O175 
关键词:oceanic waveguide   penetrable object   far-field pattern   completeness   denseness  
机标关键词:Hilbert spaceacoustic wavessets of 
基金项目:国家自然科学基金,Doctor Foundation of Wuhan University of Technology,Undergraduate Innovative Foundation of Wuhan University of Technology 
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