3 papers
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.AP2020
Active Thermal Cloaking and Mimicking
Maxence Cassier, Trent DeGiovanni, Sébastien Guenneau +1
We present an active cloaking method for the parabolic heat (and mass or light diffusion) equation that can hide both objects and sources. By active we mean that it relies on desig…
physics.optics2018
Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties
Boris Gralak, Maxence Cassier, Guillaume Demésy +1
Photonic crystals are periodic structures which prevent light propagation along one or more directions in certain frequency intervals. Their band spectrum is usually analyzed using…