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Journal Articles Journal of Computational and Applied Mathematics Year : 2007

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

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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.

Dates and versions

hal-00876231 , version 1 (25-10-2013)

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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, 2007, 204 (2 SPEC. ISS.), pp.387-399. ⟨10.1016/j.cam.2006.01.045⟩. ⟨hal-00876231⟩
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