Geodesic
Perfectly matched layers in negative index metamaterials and plasmas
Éliane Bécache1 ; Patrick Joly1 ; Maryna Kachanovska1 ; Valentin Vinoles1
1 POems team (UMR 7231 CNRS - Inria - Ensta ParisTech), Palaiseau, France
ESAIM. Proceedings, Tome 50 (2015), pp. 113-132.

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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.
DOI : 10.1051/proc/201550006

Éliane Bécache 1 ; Patrick Joly 1 ; Maryna Kachanovska 1 ; Valentin Vinoles 1

1 POems team (UMR 7231 CNRS - Inria - Ensta ParisTech), Palaiseau, France 
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     title = {Perfectly matched layers in negative index metamaterials and plasmas},
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Éliane Bécache; Patrick Joly; Maryna Kachanovska; Valentin Vinoles. Perfectly matched layers in negative index metamaterials and plasmas. ESAIM. Proceedings, Tome 50 (2015), pp. 113-132. doi : 10.1051/proc/201550006. http://geodesic.mathdoc.fr/articles/10.1051/proc/201550006/

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