Solving Maxwell equations in 3D prismatic domains [Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels]

Patrick Ciarlet (1) , Emmanuelle Garcia (1) , Jun Zou (2)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
2 Department of Mathematics [CUHK]

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. © 2004 Académie des Sciences. Published by Elsevier SAS. All rights reserved.

Domaines: Analyse numérique [math.NA]

Patrick Ciarlet, Emmanuelle Garcia, Jun Zou. Solving Maxwell equations in 3D prismatic domains [Résolution des équations de Maxwell dans des domaines prismatiques tridimensionnels]. Comptes Rendus. Mathématique, 2004, 339 (10), pp.721-726. ⟨10.1016/j.crma.2004.09.032⟩. ⟨hal-00876247⟩