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The unknown object problem in a sea with sloping bottom
Authors:RP Gilbert  Miao-Jung OU  Yongzhi S XU
Institution:1. Department of Mathematical Sciences , University of Delaware , Newark, DE, 19716;2. Department of Mathematics , University of Tennessee , Chattanooga, TN
Abstract:This article considers the acoustic unknown object problem for a shallow ocean with a sloping seabed. The incident waves are sent from point sources along a s raight line parallel to the sea surface, and the corresponding scattered fields are measured from a line above the unknown object. We prove a uniqueness theorem for the inverse problem,and describe a generalizeddual space indicator method for numerical solution.Numerical results are given in Section 4.
Keywords:Inverse problems  Underwater acoustics  Undetermined object problem
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