6 citations · 9 across the 5 of their papers we have counts for
6 papers
Uniqueness of an inverse electromagnetic coefficient problem with partial boundary data and its numerical resolution through an iterated sensitivity equation
Jérémy Heleine
In this paper we study an inverse boundary value problem for Maxwell's equations. The goal is to reconstruct perturbations in the refractive index of the medium inside an object fr…
Acoustic waveguide with a dissipative inclusion
Lucas Chesnel, Jérémy Heleine, Sergei A. Nazarov +1
We consider the propagation of acoustic waves in a waveguide containing a penetrable dissipative inclusion. We prove that as soon as the dissipation, characterized by some coeffici…
Acoustic passive cloaking using thin outer resonators
Lucas Chesnel, Jérémy Heleine, Sergei A. Nazarov
We consider the propagation of acoustic waves in a 2D waveguide unbounded in one direction and containing a compact obstacle. The wavenumber is fixed so that only one mode can prop…
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…
Sensitivity analysis for 3D Maxwell's equations and its use in the resolution of an inverse medium problem at fixed frequency
Marion Darbas, Jérémy Heleine, Stephanie Lohrengel
This paper deals with the reconstruction of small-amplitude perturbations in the electric properties (permittivity and conductivity) of a medium from boundary measurements of the e…
Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations
Marion Darbas, Jérémy Heleine, Stephanie Lohrengel
This paper concerns the numerical resolution of a data completion problem for the time-harmonic Maxwell equations in the electric field. The aim is to recover the missing data on t…