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Comptes Rendus Mathématique
Volume 339, n° 10
pages 721-726 (novembre 2004)
Doi : 10.1016/j.crma.2004.09.032
Received : 2 September 2004 ;  accepted : 28 September 2004
Solving Maxwell equations in 3D prismatic domains
Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels.
 

Patrick Ciarlet, Jr. a , Emmanuelle Garcia a , Jun Zou b
a ENSTA-CNRS-INRIA UMR 2706 POEMS, 32, boulevard Victor, 75739 Paris cedex 15, France 
b Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong 

Abstract

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. To cite this article: P. Ciarlet, Jr., et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).

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Résumé

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. Pour citer cet article : P. Ciarlet, Jr., et al., C. R. Acad. Sci. Paris, Ser. I 339 (2004).

The full text of this article is available in PDF format.


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