Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems

Houssem Haddar 1
1 DeFI - Shape reconstruction and identification
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR7641
Abstract : This chapter provides a comprehensive presentation of some qualitative methods associated with inverse 3D electromagnetic scattering problem from inhomogeneous and anisotropic media. We first discuss the problem in the framework of so-called Born approximation, that leads to a linearisation of the inverse problem. We second present and analyze the application of the Linear Sampling Method to the full non linear problem using multistatic data at a given frequency. We especially focus on a generalization of this method based on an exact characterization of the inclusion shape in terms of the available data. We then discuss the closely related interior transmission problem and associated transmission eigenvalues. We complement each chapter with some open challenging questions as well as references for further readings.
Type de document :
Chapitre d'ouvrage
Computational Electromagnetism, springer, pp.51, 2015, C.I.M.E. Foundation Subseries, 9783319193052 • 9783319193069. 〈10.1007/978-3-319-19306-9〉
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https://hal.inria.fr/hal-01217146
Contributeur : Houssem Haddar <>
Soumis le : lundi 19 octobre 2015 - 10:28:36
Dernière modification le : jeudi 10 mai 2018 - 02:05:47

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Houssem Haddar. Analysis of Some Qualitative Methods for Inverse Electromagnetic Scattering Problems. Computational Electromagnetism, springer, pp.51, 2015, C.I.M.E. Foundation Subseries, 9783319193052 • 9783319193069. 〈10.1007/978-3-319-19306-9〉. 〈hal-01217146〉

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