1 citations · 1 across the 11 of their papers we have counts for
13 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…
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…
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…
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…
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)…
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.…
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…
On the half-space matching method for real wavenumber
Anne-Sophie Bonnet-Ben Dhia, Simon N. Chandler-Wilde, Sonia Fliss
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…
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…
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
Laurent Bourgeois, Lucas Chesnel, Sonia Fliss
We study the propagation of elastic waves in the time-harmonic regime in a waveguide which is unbounded in one direction and bounded in the two other (transverse) directions. We as…
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…
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media
Christophe Besse, Julien Coatleven, Sonia Fliss +2
In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…
A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides
Sonia Fliss
This works deals with one dimensional infinite perturbation - namely line defects - in periodic media. In optics, such defects are created to construct an (open) waveguide that con…