6 papers
Trapped modes in electromagnetic waveguides
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sonia Fliss
We consider the Maxwell's equations with perfect electric conductor boundary conditions in three-dimensional unbounded domains which are the union of a bounded resonator and one or…
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…
Scattering from a random thin coating of nanoparticles: the Dirichlet case
Amandine Boucart, Sonia Fliss, Laure Giovangigli
We study the time-harmonic scattering by a heterogeneous object covered with a thin layer of randomly distributed sound-soft nanoparticles. The size of the particles, their distanc…
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…
Guided modes in a hexagonal periodic graph like domain
Bérangère Delourme, Sonia Fliss
This paper deals with the existence of guided waves and edge states in particular two-dimensional media obtained by perturbing a reference periodic medium with honeycomb symmetry.…
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)…