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

Francis Collino, M'Barek Fares, Houssem Haddar

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)1279-1298
Number of pages20
JournalInverse Problems
Volume19
Issue number6
DOIs
Publication statusPublished - 1 Dec 2003
Externally publishedYes

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