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On the Validation of the Linear Sampling Method in Electromagnetic Inverse Scattering Problems

Francis Collino 1 M'B. Fares 2 Houssem Haddar 1
1 ONDES - Modeling, analysis and simulation of wave propagation phenomena
Inria Paris-Rocquencourt, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR2706
Abstract : We present in this study some three dimensional numerical results that validate the use of the Linear Sampling Method as an inverse solver in electromagnetic scattering problems. We recall that this method allows the reconstruction of the shape of an obstacle from the knowledge of multisati- c radar data at a fixed frequency. It does not require any a priori knowledge on the physical properties of the scatterer nor any nonlinear optimization scheme. This study contains also some analytical results in the simplified case of a spherical scatterer that somehow make the link between known abstract theoretical results and the numerical scheme. Special attention has been made to point out the influence of the frequency on the inversion accuracy.
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https://hal.inria.fr/inria-00071920
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Submitted on : Tuesday, May 23, 2006 - 7:16:17 PM
Last modification on : Wednesday, July 3, 2019 - 10:48:03 AM
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  • HAL Id : inria-00071920, version 1

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Francis Collino, M'B. Fares, Houssem Haddar. On the Validation of the Linear Sampling Method in Electromagnetic Inverse Scattering Problems. [Research Report] RR-4665, INRIA. 2002. ⟨inria-00071920⟩

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