A Multiscale Approach for Solving Maxwell's Equations in Waveguides with Conical Inclusions

Authors:
Franck Assous;Patrick Ciarlet, Jr.
Affiliations:
Bar-Ilan University, Ramat-Gan, Israel 52900 and Ariel University Center, Ariel, Israel 40700;ENSTA, Paris Cedex 15 75739
Venue:
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
Year:
2008

Citing 3
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Abstract

This paper is devoted to the numerical solution of the instationary Maxwell equations in waveguides with metallic conical inclusions on its internal boundary. These conical protuberances are geometrical singularities that generate in their neighborhood, strong electromagnetic fields. Using some recent theoretical and practical results on curl-free singular fields, we have built a method which allows to compute the instationary electromagnetic field. It is based on a splitting of the spaces of solutions into a regular part and a singular one. The singular part is computed with the help of a multiscale representation, written in the vicinity of the geometrical singularities. As an illustration, numerical results in a rectangular waveguide are shown.