4 papers
Wave propagation in the frequency regime in one-dimensional quasiperiodic media -Limiting absorption principle
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We study the one-dimensional Helmholtz equation with (possibly perturbed) quasiperiodic coefficients. Quasiperiodic functions are the restriction of higher dimensional periodic fun…
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 1: general results
Maxence Cassier, Patrick Joly
We investigate in this chapter the mathematical models for electromagnetic wave propagation in dispersive isotropic passive linear media for which the dielectric permittivity $\var…
An operator approach to the analysis of electromagnetic wave propagation in dispersive media. Part 2: transmission problems
Maxence Cassier, Patrick Joly
In this second chapter, we analyse transmission problems between a dielectric and a dispersive negative material. In the first part, we consider a transmission problem between two…
Time-harmonic wave propagation in junctions of two periodic half-spaces
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We are interested in the Helmholtz equation in a junction of two periodic half-spaces. When the overall medium is periodic in the direction of the interface, Fliss and Joly (2019)…