Search Results - "CHESNEL, LUCAS"
-
1
Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (01-05-2018)“…We consider the reflection–transmission problem in a waveguide with obstacle. At certain frequencies, for some incident waves, intensity is perfectly…”
Get full text
Journal Article -
2
Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides
Published in Zeitschrift für angewandte Mathematik und Physik (01-06-2020)“…We investigate a time-harmonic wave problem in a waveguide. We work at low frequency so that only one mode can propagate. It is known that the scattering…”
Get full text
Journal Article -
3
Acoustic passive cloaking using thin outer resonators
Published in Zeitschrift für angewandte Mathematik und Physik (01-06-2022)“…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…”
Get full text
Journal Article -
4
A numerical approach for the Poisson equation in a planar domain with a small inclusion
Published in BIT (01-12-2016)“…We consider the Poisson equation in a domain with a small inclusion. We present a simple numerical method, based on asymptotic analysis, which allows to…”
Get full text
Journal Article -
5
Design of an acoustic energy distributor using thin resonant slits
Published 15-03-2021“…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…”
Get full text
Journal Article -
6
Acoustic passive cloaking using thin outer resonators
Published 03-05-2021“…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…”
Get full text
Journal Article -
7
Bilaplacian problems with a sign-changing coefficient
Published in Mathematical methods in the applied sciences (30-11-2016)“…We investigate the properties of the operator Δ(σΔ·):H02(Ω)→H−2(Ω), where σ is a given parameter whose sign can change on the bounded domain Ω. Here, H02(Ω)…”
Get full text
Journal Article -
8
Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides
Published 19-07-2019“…We investigate a time-harmonic wave problem in a waveguide. We work at low frequency so that only one mode can propagate. It is known that the scattering…”
Get full text
Journal Article -
9
T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
Published in Numerische Mathematik (01-05-2013)“…To solve variational indefinite problems, one uses classically the Banach–Nečas–Babuška theory. Here, we study an alternate theory to solve those problems:…”
Get full text
Journal Article -
10
From zero transmission to trapped modes in waveguides
Published 12-12-2018“…We consider the time-harmonic scattering wave problem in a 2D waveguide at wavenumber $k$ such that one mode is propagating in the far field. In a first step,…”
Get full text
Journal Article -
11
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Published 18-04-2020“…Asymptotic Analysis, 2020 We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved…”
Get full text
Journal Article -
12
Inside-outside duality with artificial backgrounds
Published 10-04-2019“…We use the inside-outside duality approach proposed by Kirsch-Lechleiter to identify transmission eigenvalues associated with artificial backgrounds. We prove…”
Get full text
Journal Article -
13
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer
Published in Journal of spectral theory (01-01-2024)“…We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study…”
Get full text
Journal Article -
14
Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner
Published 18-09-2017“…We investigate the eigenvalue problem $-\text{div}(\sigma \nabla u) = \lambda u\ (\mathscr{P})$ in a 2D domain $\Omega$ divided into two regions…”
Get full text
Journal Article -
15
Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer
Published in Journal of spectral theory (27-03-2023)“…We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study…”
Get full text
Journal Article -
16
Abnormal acoustic transmission in a waveguide with perforated screens
Published in Comptes rendus. Mecanique (01-01-2021)“…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…”
Get full text
Journal Article -
17
INVISIBILITY AND PERFECT REFLECTIVITY IN WAVEGUIDES WITH FINITE LENGTH BRANCHES
Published in SIAM journal on applied mathematics (01-01-2018)“…We consider a time-harmonic wave problem, appearing, for example, in water-wave theory, in acoustics, or in electromagnetism, in a setting such that the…”
Get full text
Journal Article -
18
Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
Published in Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences (31-05-2018)“…We consider the reflection–transmission problem in a waveguide with obstacle. At certain frequencies, for some incident waves, intensity is perfectly…”
Get full text
Journal Article -
19
Spectrum of a diffusion operator with coefficient changing sign over a small inclusion
Published 25-01-2015“…We study a spectral problem $(\mathscr{P}^{\delta})$ for a diffusion like equation in a 3D domain $\Omega$. The main originality lies in the presence of a…”
Get full text
Journal Article -
20
Perfect transmission invisibility for waveguides with sound hard walls
Published 18-09-2017“…We are interested in a time harmonic acoustic problem in a waveguide with locally perturbed sound hard walls. We consider a setting where an observer generates…”
Get full text
Journal Article