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arXiv · 1502.00954

Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition

Aurore Back·Takashi Hattori·Simon Labrunie·Jean-Rodolphe Roche·Pierre Bertrand
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Abstract

We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model and several boundary conditions modelling wave injection into the plasma. Then we propose several variational formulations, mixed and non-mixed, and prove their well-posedness thanks to a theorem by S\'ebelin et~al. Finally, we propose a non-overlapping domain decomposition framework, show its well-posedness and equivalence with the one-domain formulation. These results appear strongly linked to the spectral properties of the plasma dielectric tensor.

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Aurore Back, Takashi Hattori, Simon Labrunie, Jean-Rodolphe Roche, Pierre Bertrand. 2015-02-03. Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition. https://arxiv.org/abs/1502.00954

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