Interior transmission eigenvalue problem for Maxwell's equations: The T-coercivity as an alternative approach - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Article Dans Une Revue Inverse Problems Année : 2012

Interior transmission eigenvalue problem for Maxwell's equations: The T-coercivity as an alternative approach

Résumé

In this paper, we examine the interior transmission problem for Maxwells equations in the case where both and , the physical parameters of the scattering medium, differ from 0 and 0 modelling the background medium. Using the T-coercivity method, we propose an alternative approach to the classical techniques to prove that this problem is of Fredholm type and that the so-called transmission eigenvalues form at most a discrete set. The T-coercivity approach allows us to deal with cases where 0 and 0 can change sign. We also provide results of localization and FaberKrahn-type inequalities for the transmission eigenvalues. © 2012 IOP Publishing Ltd.

Dates et versions

hal-00849561 , version 1 (06-08-2013)

Identifiants

Citer

Lucas Chesnel. Interior transmission eigenvalue problem for Maxwell's equations: The T-coercivity as an alternative approach. Inverse Problems, 2012, 28 (6), ⟨10.1088/0266-5611/28/6/065005⟩. ⟨hal-00849561⟩
152 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More