High Order Generalized Impedance Boundary Conditions in Electromagnetic Scattering Problems

Marc Durufle 1, 2 Houssem Haddar 1, 3 Patrick Joly 1, 4
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
3 DeFI - Shape reconstruction and identification
Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
Abstract : We briefly review the use and the derivation of Generalized Impedance Boundary Conditions (GIBC) in the case of thin dielectric coating and in the case of strongly absorbing medium, within the context of electromagnetic scattering problem at a fixed frequency. We then numerically test the validity and accuracy of these boundary conditions in the case of high absorption. A numerical treatment of the corner singularity is proposed to recover the accuracy of the GIBC for singular geometries.
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Marc Durufle, Houssem Haddar, Patrick Joly. High Order Generalized Impedance Boundary Conditions in Electromagnetic Scattering Problems. Comptes Rendus de l'Academie des Sciences de Paris Serie Physique, 2006, 7, pp.533-542. ⟨hal-00385583⟩

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