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math.AP2025
A Rellich-type theorem for the Helmholtz equation in a junction of stratified media
Sarah Al Humaikani, Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss +1
We prove that there are no non-zero square-integrable solutions to a two-dimensional Helmholtz equation in some unbounded inhomogeneous domains which represent junctions of stratif…
math.AP2021
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance
Maxence Cassier, Christophe Hazard, Patrick Joly
This paper is concerned with the time-dependent Maxwell's equations for a plane interface between a negative material described by the Drude model and the vacuum, which fill, respe…
math.AP2016
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform
Maxence Cassier, Christophe Hazard, Patrick Joly
We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill…