Locating an obstacle in a 3D finite depth ocean using the convex scattering support

Laurent Bourgeois 1 Colin Chambeyron 1 Steven Kusiak 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We consider an inverse scattering problem in a 3D homogeneous shallow ocean. Specifically, we describe a simple and efficient inverse method which can compute an approximation of the vertical projection of an immersed obstacle. This reconstruction is obtained from the far-field patterns generated by illuminating the obstacle with a single incident wave at a given fixed frequency. The technique is based on an implementation of the theory of the convex scattering support [S. Kusiak, J. Sylvester, The scattering support, Commun. Pure Appl. Math. (2003) 1525-1548]. A few examples are presented to show the feasibility of the method. © 2006 Elsevier B.V. All rights reserved.
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Submitted on : Friday, October 25, 2013 - 11:10:22 AM
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Laurent Bourgeois, Colin Chambeyron, Steven Kusiak. Locating an obstacle in a 3D finite depth ocean using the convex scattering support. Journal of Computational and Applied Mathematics, Elsevier, 2007, 204 (2 SPEC. ISS.), pp.387-399. ⟨10.1016/j.cam.2006.01.045⟩. ⟨hal-00876231⟩

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