[Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels.]
Dans cette Note, nous introduisons la Méthode du Complément Singulier avec Fourier, pour résoudre les équations de Maxwell dans des domaines prismatiques tridimensionnels. La mise en œuvre numérique de cette méthode permet de calculer une approximation continue du champ électromagnétique. Elle peut être appliquée à la détermination des modes propagatifs ou bloquants dans un filtre à stubs prismatique, ce qui constitue une généralisation des méthodes applicables en domaine bidimensionnel.
In this Note, we introduce the Fourier Singular Complement Method, for solving Maxwell equations in a 3D prismatic domain. The numerical implementation of this method provides a continuous approximation of the electromagnetic field. It can be applied to the computation of propagating and evanescent modes in prismatic stub filters, thus generalizing 2D approaches.
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@article{CRMATH_2004__339_10_721_0,
author = {Ciarlet, Patrick and Garcia, Emmanuelle and Zou, Jun},
title = {Solving {Maxwell} equations in {3D} prismatic domains},
journal = {Comptes Rendus. Math\'ematique},
pages = {721--726},
publisher = {Elsevier},
volume = {339},
number = {10},
year = {2004},
doi = {10.1016/j.crma.2004.09.032},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2004.09.032/}
}
TY - JOUR AU - Ciarlet, Patrick AU - Garcia, Emmanuelle AU - Zou, Jun TI - Solving Maxwell equations in 3D prismatic domains JO - Comptes Rendus. Mathématique PY - 2004 SP - 721 EP - 726 VL - 339 IS - 10 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2004.09.032/ DO - 10.1016/j.crma.2004.09.032 LA - en ID - CRMATH_2004__339_10_721_0 ER -
%0 Journal Article %A Ciarlet, Patrick %A Garcia, Emmanuelle %A Zou, Jun %T Solving Maxwell equations in 3D prismatic domains %J Comptes Rendus. Mathématique %D 2004 %P 721-726 %V 339 %N 10 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2004.09.032/ %R 10.1016/j.crma.2004.09.032 %G en %F CRMATH_2004__339_10_721_0
Ciarlet, Patrick; Garcia, Emmanuelle; Zou, Jun. Solving Maxwell equations in 3D prismatic domains. Comptes Rendus. Mathématique, Tome 339 (2004) no. 10, pp. 721-726. doi : 10.1016/j.crma.2004.09.032. http://www.numdam.org/articles/10.1016/j.crma.2004.09.032/
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