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Titre : |
Two-dimensional Maxwell's equations with sign-changing coefficients |
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Année : |
2014 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
A.-S. Bonnet-BenDhia, L. Chesnel, P. Ciarlet |
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Résumé : |
We consider the theoretical study of time harmonic Maxwell's equations in presence of signchanging
coefficients, in a two-dimensional configuration. Classically, the problems for both the
Transverse Magnetic and the Transverse Electric polarizations reduce to an equivalent scalar
Helmholtz type equation. Consequences of the presence of sign-changing coefficients in this scalar
equation have been already studied in previous papers. We summarize here the main results. Then we
focus on the alternative approach which relies on the two-dimensional vectorial formulations of the
TM or TE problems, and we exhibit some unexpected effects of the sign-change of the coefficients. In
the process, we provide new results on the scalar equations. |
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Thèmes : |
Ondes harmoniques
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Référence : |
Applied Numerical Mathematics - vol. 79 (pp 29-41 )  |
