37 citations · 137 across the 29 of their papers we have counts for
6 papers · 2 filters
Design of an acoustic energy distributor using thin resonant slits
Lucas Chesnel, Sergei A. Nazarov
We consider the propagation of time harmonic acoustic waves in a device with three channels. The wave number is chosen such that only the piston mode can propagate. The main goal o…
Maxwell's equations with hypersingularities at a conical plasmonic tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
In this work, we are interested in the analysis of time-harmonic Maxwell's equations in presence of a conical tip of a material with negative dielectric constants. When these const…
Abnormal acoustic transmission in a waveguide with perforated screens
Lucas Chesnel, Sergei A. Nazarov
We consider the propagation of the piston mode in an acoustic waveguide obstructed by two screens with small holes. In general, due to the features of the geometry, almost no energ…
Qualitative indicator functions for imaging crack networks using acoustic waves
Lorenzo Audibert, Lucas Chesnel, Houssem Haddar +1
We consider the problem of imaging a crack network embedded in some homogeneous background from measured multi-static far field data generated by acoustic plane waves. We propose t…
A continuation method for building invisible obstacles in waveguides
Antoine Bera, Antoine-Sophie Bonnet-BenDhia, Lucas Chesnel
We consider the propagation of acoustic waves at a given wavenumber in a waveguide which is unbounded in one direction. We explain how to construct penetrable obstacles characteriz…
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct n…