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Medientyp:
E-Artikel
Titel:
Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides
Beteiligte:
Bécache, Éliane;
Kachanovska, Maryna;
Wess, Markus
Erschienen:
EDP Sciences, 2023
Erschienen in:ESAIM: Mathematical Modelling and Numerical Analysis
Sprache:
Nicht zu entscheiden
DOI:
10.1051/m2an/2023060
ISSN:
2822-7840;
2804-7214
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>This work is dedicated to the analysis of generalized perfectly matched layers (PMLs) for 2D electromagnetic wave propagation in dispersive waveguides. Under quite general assumptions on frequency-dependent dielectric permittivity and magnetic permeability we prove convergence estimates in homogeneous waveguides and show that the PML error decreases exponentially with respect to the absorption parameter and the length of the absorbing layer. The optimality of this error estimate is studied both numerically and analytically. Finally, we demonstrate that in the case when the waveguide contains a heterogeneity supported away from the absorbing layer, instabilities may occur, even in the case of the non-dispersive media. Our findings are illustrated by numerical experiments.</jats:p>