activity
20152023
most citedElectromagnetic shielding by thin periodic structures and the Faraday cage effect

7 citations · 14 across the 4 of their papers we have counts for

collaborators

7 papers

math.AP2023

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.…

math.SP2019

On integrals over a convex set of the Wigner distribution

Bérangère Delourme, Thomas Duyckaerts, Nicolas Lerner

We provide an example of a normalized function such that its Wigner distribution has an integral on the square for…

math.NA2018★ 7 cited

Electromagnetic shielding by thin periodic structures and the Faraday cage effect

Bérangère Delourme, David P. Hewett

In this note we consider the scattering of electromagnetic waves (governed by the time-harmonic Maxwell equations) by a thin periodic layer of perfectly conducting obstacles. The s…

math.AP2017

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…

math.NA2016★ 3 cited

Existence of guided waves due to a lineic perturbation of a 3D periodic medium

Bérangère Delourme, Patrick Joly, Elizaveta Vasilevskaya

In this note, we exhibit a three dimensional structure that permits to guide waves. This structure is obtained by a geometrical perturbation of a 3D periodic domain that consists o…

math.AP2016

On the homogenization of the Helmholtz problem with thin perforated walls of finite length

Adrien Semin, Bérangère Delourme, Kersten Schmidt

In this work, we present a new solution representation for the Helmholtz transmission problem in a bounded domain in with a thin and periodic layer of finite length.…

math.AP2015★ 4 cited

When a thin periodic layer meets corners: asymptotic analysis of a singular Poisson problem

Bérangère Delourme, Kersten Schmidt, Adrien Semin

The present work deals with the resolution of the Poisson equation in a bounded domain made of a thin and periodic layer of finite length placed into a homogeneous medium. We provi…