[Conditions d'impédances généralisées d'ordre élevé pour les problèmes de diffraction en électromagnétisme]
Nous effectuons une revue succincte de l'obtention et l'utilisation des conditions d'impédances généralisées (GIBC) dans le cas de revêtements diélectriques minces et dans le cas d'objets fortement conducteurs. Nous nous plaçons dans le cadre des probèmes de diffraction d'ondes électromagnétiques en régime harmonique. Nous testons numériquement la validité et la précision de ces conditions aux limites pour le cas de forte conductivité. En présence de géométries comportant des coins, nous proposons un traitement numérique astucieux afin de garder la même précision que dans le cas de géométries régulières.
We briefly review the use and the derivation of Generalized Impedance Boundary Conditions (GIBC) in the case of thin dielectric coatings and in the case of strongly absorbing media, 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.
Mots-clés : Conditions d'impédances généralisées, Couches minces, Modèles asymptotiques, GIBC, Électromagnétisme
Marc Duruflé 1 ; Houssem Haddar 1 ; Patrick Joly 1
@article{CRPHYS_2006__7_5_533_0,
author = {Marc Durufl\'e and Houssem Haddar and Patrick Joly},
title = {Higher order generalized impedance boundary conditions in electromagnetic scattering problems},
journal = {Comptes Rendus. Physique},
pages = {533--542},
publisher = {Elsevier},
volume = {7},
number = {5},
year = {2006},
doi = {10.1016/j.crhy.2006.03.010},
language = {en},
}
TY - JOUR AU - Marc Duruflé AU - Houssem Haddar AU - Patrick Joly TI - Higher order generalized impedance boundary conditions in electromagnetic scattering problems JO - Comptes Rendus. Physique PY - 2006 SP - 533 EP - 542 VL - 7 IS - 5 PB - Elsevier DO - 10.1016/j.crhy.2006.03.010 LA - en ID - CRPHYS_2006__7_5_533_0 ER -
Marc Duruflé; Houssem Haddar; Patrick Joly. Higher order generalized impedance boundary conditions in electromagnetic scattering problems. Comptes Rendus. Physique, Electromagnetic modelling, Volume 7 (2006) no. 5, pp. 533-542. doi : 10.1016/j.crhy.2006.03.010. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2006.03.010/
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