Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems

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 multi-static radar data at a fixed frequency. It does not require any a priori knowledge of the physical properties of the scatterer nor any nonlinear optimization scheme. This study also contains 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 given to pointing out the influence of the frequency on the inversion accuracy.
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https://hal.inria.fr/hal-00744159
Contributor : Houssem Haddar <>
Submitted on : Monday, October 22, 2012 - 2:22:32 PM
Last modification on : Wednesday, March 27, 2019 - 4:08:29 PM

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Francis Collino, M'Barek Fares, Houssem Haddar. Numerical and analytical studies of the linear sampling method in electromagnetic inverse scattering problems. Inverse Problems, IOP Publishing, 2003, 19 (6), pp.1279--1298. ⟨10.1088/0266-5611/19/6/004⟩. ⟨hal-00744159⟩

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