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arXiv · 1210.0779

Hybrid resonance of Maxwell's equations in slab geometry

Bruno Després·Lise-Marie Imbert-Gérard·Ricardo Weder
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Abstract

Hybrid resonance is a physical mechanism for the heating of a magnetic plasma. In our context hybrid resonance is a solution of the time harmonic Maxwell's equations with smooth coefficients, where the dielectric tensor is a non diagonal hermitian matrix. The main part of this work is dedicated to the construction and analysis of a mathematical solution of the hybrid resonance with the limit absorption principle. We prove that the limit solution is singular: it is constituted of a Dirac mass at the origin plus a principle value and a smooth square integrable function. The formula obtained for the plasma heating is directly related to the singularity.

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Bruno Després, Lise-Marie Imbert-Gérard, Ricardo Weder. 2012-10-02. Hybrid resonance of Maxwell's equations in slab geometry. https://doi.org/10.1016/j.matpur.2013.10.001

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