Perfectly matched layers in negative index metamaterials and plasmas

Eliane Bécache 1 Patrick Joly 1 Maryna Kachanovska 1 Valentin Vinoles 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : This work deals with the stability of Perfectly Matched Layers (PMLs). The first part is a survey of previous results about the classical PMLs in non-dispersive media (construction and necessary condition of stability). The second part concerns some extensions of these results. We give a new necessary criterion of stability valid for a large class of dispersive models and for more general PMLs than the classical ones. This criterion is applied to two dispersive models: negative index metamaterials and uniaxial anisotropic plasmas. In both cases, classical PMLs are unstable but the criterion allows us to design new stable PMLs. Numerical simulations illustrate our purpose.
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Eliane Bécache, Patrick Joly, Maryna Kachanovska, Valentin Vinoles. Perfectly matched layers in negative index metamaterials and plasmas. ESAIM: Proceedings, EDP Sciences, 2015, Vol. 50, p. 113-132. ⟨10.1051/proc/201550006⟩. ⟨hal-01082445v4⟩

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