On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

Éliane Bécache; Sonia Fliss; Maryna Kachanovska; Maria Kazakova

doi:10.5802/CRMATH.165

On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

Éliane Bécache, Sonia Fliss, Maryna Kachanovska, Maria Kazakova

Normandie Université

Research output: Contribution to journal › Article › peer-review

Abstract

The analysis of Cartesian Perfectly Matched Layers (PMLs) in the context of time-domain electromagnetic wave propagation in a 3D unbounded anisotropic homogeneous medium modelled by a diagonal dielectric tensor is presented. Contrary to the 3D scalar wave equation or 2D Maxwell's equations some diagonal anisotropies lead to the existence of backward waves giving rise to instabilities of the PMLs. Numerical experiments confirmthe presented result.

Original language	English
Pages (from-to)	249-256
Number of pages	8
Journal	Comptes Rendus Mathematique
Volume	359
Issue number	3
DOIs	https://doi.org/10.5802/CRMATH.165
Publication status	Published - 1 Jan 2021

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title = "On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy",

abstract = "The analysis of Cartesian Perfectly Matched Layers (PMLs) in the context of time-domain electromagnetic wave propagation in a 3D unbounded anisotropic homogeneous medium modelled by a diagonal dielectric tensor is presented. Contrary to the 3D scalar wave equation or 2D Maxwell's equations some diagonal anisotropies lead to the existence of backward waves giving rise to instabilities of the PMLs. Numerical experiments confirmthe presented result.",

author = "{\'E}liane B{\'e}cache and Sonia Fliss and Maryna Kachanovska and Maria Kazakova",

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AU - Bécache, Éliane

AU - Fliss, Sonia

AU - Kachanovska, Maryna

AU - Kazakova, Maria

PY - 2021/1/1

Y1 - 2021/1/1

N2 - The analysis of Cartesian Perfectly Matched Layers (PMLs) in the context of time-domain electromagnetic wave propagation in a 3D unbounded anisotropic homogeneous medium modelled by a diagonal dielectric tensor is presented. Contrary to the 3D scalar wave equation or 2D Maxwell's equations some diagonal anisotropies lead to the existence of backward waves giving rise to instabilities of the PMLs. Numerical experiments confirmthe presented result.

AB - The analysis of Cartesian Perfectly Matched Layers (PMLs) in the context of time-domain electromagnetic wave propagation in a 3D unbounded anisotropic homogeneous medium modelled by a diagonal dielectric tensor is presented. Contrary to the 3D scalar wave equation or 2D Maxwell's equations some diagonal anisotropies lead to the existence of backward waves giving rise to instabilities of the PMLs. Numerical experiments confirmthe presented result.

U2 - 10.5802/CRMATH.165

DO - 10.5802/CRMATH.165

M3 - Article

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SN - 1631-073X

VL - 359

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EP - 256

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 3

ER -

On a surprising instability result of Perfectly Matched Layers for Maxwell's equations in 3D media with diagonal anisotropy

Abstract

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