activity
20172021
most citedQualitative indicator functions for imaging crack networks using acoustic waves

11 citations · 27 across the 6 of their papers we have counts for

collaborators

13 papers

math.AP2021

Design of a mode converter using thin resonant ligaments

Lucas Chesnel, Jérémy Heleine, Sergei A. Nazarov

The goal of this work is to design an acoustic mode converter. More precisely, the wave number is chosen so that two modes can propagate. We explain how to construct geometries suc…

math.AP20203 cited

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…

math.AP2020

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…

math.AP2020

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…

math.AP202011 cited

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…

math.AP2020

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…