3 citations · 12 across the 10 of their papers we have counts for
8 papers · 1 filter
Wave propagation in one-dimensional quasiperiodic media
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
This work is devoted to the resolution of the Helmholtz equation in a one-dimensional unbounded medium. We assume the coefficients of this equation to be loc…
Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (I) A frequency dependent Lyapunov function approach
Maxence Cassier, Patrick Joly, Luis Alejandro Rosas Martínez
It is well-known that electromagnetic dispersive structures such as metamaterials can be modelled by generalized Drude-Lorentz models. The present paper is the first of two article…
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…
Trapped modes in thin and infinite ladder like domains. Part 1 : existence results
Bérangère Delourme, Sonia Fliss, Patrick Joly +1
The present paper deals with the wave propagation in a particular two dimensional structure, obtained from a localized perturbation of a reference periodic medium. This reference m…
Mathematical models for dispersive electromagnetic waves: an overview
Maxence Cassier, Patrick Joly, Maryna Kachanovska
In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathema…
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…