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

  • Authors:

  • L. Bourgeois;C. Chambeyron;S. Kusiak

  • Affiliations:

  • Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, Ecole Nationale Supérieure des Techniques Avancées, 32 Bd Victor, 75739 Paris Cedex 15, France;Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, Ecole Nationale Supérieure des Techniques Avancées, 32 Bd Victor, 75739 Paris Cedex 15, France;Laboratoire POEMS, UMR 2706 CNRS/ENSTA/INRIA, Ecole Nationale Supérieure des Techniques Avancées, 32 Bd Victor, 75739 Paris Cedex 15, France

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2007

Quantified Score

Hi-index 7.29

Visualization

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.