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

被引：3
|
作者：
Becache, Eliane [1 ]
Fliss, Sonia [1 ]
Kachanovska, Maryna [1 ]
Kazakova, Maria [2 ,3 ]
机构：
[1] Inst Polytech Paris, Lab POEMS, CNRS, INRIA,ENSTA Paris, 828 Blvd Marechaux, F-91762 Palaiseau, France
[2] Normandie Univ, INSA Rouen Normandie, LMI EA 3226, FR CNRS 3335, F-76000 Rouen, France
[3] Normandie Univ, INSA Rouen Normandie, LMI EA 3226, FR CNRS 3335, 685 Ave Univ, F-76801 St Etienne Du Rouvray, France
来源：
COMPTES RENDUS MATHEMATIQUE | 2021年 / 359卷 / 03期
关键词：
ABSORPTION;
D O I：
10.5802/crmath.165
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 confirm the presented result.
引用
收藏
页码：249 / 256
页数：8
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