6 papers · 1 filter
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…
Eigenvalue falls in thin broken quantum strips
Lucas Chesnel, Sergei A. Nazarov
We are interested in the spectrum of the Dirichlet Laplacian in thin broken strips with angle . Playing with symmetries, this leads us to investigate spectral problems for the…
A few techniques to achieve invisibility in waveguides
Lucas Chesnel
The aim of this lecture is to consider a concrete problem, namely the identification of situations of invisibility in waveguides, to present techniques and tools that may be useful…
Maxwell's equations with hypersingularities at a negative index material conical tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
We study a transmission problem for the time harmonic Maxwell's equations between a classical positive material and a so-called negative index material in which both the permittivi…
Examples of non-scattering inhomogeneities
Lucas Chesnel, Houssem Haddar, Hongjie Li +1
We consider the scattering of waves by a penetrable inclusion embedded in some reference medium. We exhibit examples of materials and geometries for which non-scattering frequencie…
Generalized impedance boundary conditions with vanishing or sign-changing impedance
Lucas Chesnel, Laurent Bourgeois
We consider a Laplace type problem with a generalized impedance boundary condition of the form on a flat part of the boundary. Here $Î…