Stability properties for a problem of light scattering in a dispersive metallic domain - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Evolution Equations and Control Theory Year : 2023

Stability properties for a problem of light scattering in a dispersive metallic domain

Abstract

In this work, we study the well-posedness and some stability properties of a PDE system that models the propagation of light in a metallic domain with a hole. This model takes into account the dispersive properties of the metal. It consists of a linear coupling between Maxwell's equations and a wave type system. We prove that the problem is well posed for several types of boundary conditions. Furthermore, we show that it is polynomially stable and that the exponential stability is conditional on the exponential stability of the Maxwell system.
Fichier principal
Vignette du fichier
NiSc21.pdf (477.21 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03540550 , version 1 (24-01-2022)

Licence

Attribution

Identifiers

Cite

Serge Nicaise, Claire Scheid. Stability properties for a problem of light scattering in a dispersive metallic domain. Evolution Equations and Control Theory, 2023, 12 (1), pp.20. ⟨10.3934/eect.2022020⟩. ⟨hal-03540550⟩
66 View
39 Download

Altmetric

Share

Gmail Facebook X LinkedIn More