Perfectly matched layers in negative index metamaterials and plasmas
ESAIM. Proceedings, Tome 50 (2015), pp. 113-132
Cet article a éte moissonné depuis la source EDP Sciences
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.
Affiliations des auteurs :
Éliane Bécache 1 ; Patrick Joly 1 ; Maryna Kachanovska 1 ; Valentin Vinoles 1
@article{EP_2015_50_a6,
author = {\'Eliane B\'ecache and Patrick Joly and Maryna Kachanovska and Valentin Vinoles},
title = {Perfectly matched layers in negative index metamaterials and plasmas},
journal = {ESAIM. Proceedings},
pages = {113--132},
year = {2015},
volume = {50},
doi = {10.1051/proc/201550006},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201550006/}
}
TY - JOUR AU - Éliane Bécache AU - Patrick Joly AU - Maryna Kachanovska AU - Valentin Vinoles TI - Perfectly matched layers in negative index metamaterials and plasmas JO - ESAIM. Proceedings PY - 2015 SP - 113 EP - 132 VL - 50 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201550006/ DO - 10.1051/proc/201550006 LA - en ID - EP_2015_50_a6 ER -
%0 Journal Article %A Éliane Bécache %A Patrick Joly %A Maryna Kachanovska %A Valentin Vinoles %T Perfectly matched layers in negative index metamaterials and plasmas %J ESAIM. Proceedings %D 2015 %P 113-132 %V 50 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201550006/ %R 10.1051/proc/201550006 %G en %F EP_2015_50_a6
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
Cité par Sources :