4 papers
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…
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…
The Complex-Scaled Half-Space Matching Method
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss +3
The Half-Space Matching (HSM) method has recently been developed as a new method for the solution of 2D scattering problems with complex backgrounds, providing an alternative to Pe…
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…