Numerical Solution to Maxwell's Equations in Singular Waveguides

Authors:
Franck Assous;Patrick Ciarlet, Jr.
Affiliations:
Bar-Ilan University, 52900 Ramat-Gan, Israel, and College of Judea&Samaria, Ariel, Israel;ENSTA,32 bvd Victor, 75739, Paris Cedex 15,
Venue:
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part IV: ICCS 2007
Year:
2007

Citing 3
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Abstract

This paper is devoted to the numerical solution of the instationary Maxwell equations in singularwaveguides. The geometry is called singular, as its boundary includes reentrant corners or edges, which generate, in their neighborhood, strong electromagnetic fields. We have built a method which allows to compute the time-dependent electromagnetic field, based on a splitting of the spaces of solutions: First, the subspace of regular fields, which coincides with the whole space of solutions, in the case of convex or smooth boundary; Second, a singular subspace, defined and characterized viathe singularities of the Laplace operator. Numerical results illustrate the influence of frequency of the ingoing electromagnetic waves in a L-shaped waveguide.