Search Results - "CHESNEL, LUCAS"

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  1. 1

    Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem by Dhia, Anne-Sophie Bonnet-Ben, Chesnel, Lucas, Pagneux, Vincent

    “…We consider the reflection–transmission problem in a waveguide with obstacle. At certain frequencies, for some incident waves, intensity is perfectly…”
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    Journal Article
  2. 2

    Exact zero transmission during the Fano resonance phenomenon in non-symmetric waveguides by Chesnel, Lucas, Nazarov, Sergei A.

    “…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…”
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    Journal Article
  3. 3

    Acoustic passive cloaking using thin outer resonators by Chesnel, Lucas, Heleine, Jérémy, Nazarov, Sergei A.

    “…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…”
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    Journal Article
  4. 4

    A numerical approach for the Poisson equation in a planar domain with a small inclusion by Chesnel, Lucas, Claeys, Xavier

    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…”
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  5. 5

    Design of an acoustic energy distributor using thin resonant slits by Chesnel, Lucas, Nazarov, Sergei A

    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…”
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    Journal Article
  6. 6

    Acoustic passive cloaking using thin outer resonators by Chesnel, Lucas, Heleine, Jérémy, Nazarov, Sergei A

    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…”
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    Journal Article
  7. 7

    Bilaplacian problems with a sign-changing coefficient by Chesnel, Lucas

    “…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)…”
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  8. 8

    Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides by Chesnel, Lucas, Nazarov, Sergei A

    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. 9

    T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients by Chesnel, Lucas, Ciarlet, Patrick

    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:…”
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    Journal Article
  10. 10

    From zero transmission to trapped modes in waveguides by Chesnel, Lucas, Pagneux, Vincent

    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,…”
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    Journal Article
  11. 11

    Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography by Chesnel, Lucas, Nazarov, Sergei A, Taskinen, Jari

    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…”
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    Journal Article
  12. 12

    Inside-outside duality with artificial backgrounds by Audibert, Lorenzo, Chesnel, Lucas, Haddar, Houssem

    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…”
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    Journal Article
  13. 13

    Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer by Chesnel, Lucas, Nazarov, Sergei A., Taskinen, Jari

    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…”
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  14. 14

    Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner by Chesnel, Lucas, Claeys, Xavier, Nazarov, Sergei A

    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…”
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  15. 15

    Spectrum of the Laplacian with mixed boundary conditions in a chamfered quarter of layer by Chesnel, Lucas, Nazarov, Sergei A., Taskinen, Jari

    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…”
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    Journal Article
  16. 16

    Abnormal acoustic transmission in a waveguide with perforated screens by Chesnel, Lucas, Nazarov, Sergei A.

    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…”
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    Journal Article
  17. 17

    INVISIBILITY AND PERFECT REFLECTIVITY IN WAVEGUIDES WITH FINITE LENGTH BRANCHES by CHESNEL, LUCAS, NAZAROV, SERGEI A., PAGNEUX, VINCENT

    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…”
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  18. 18

    Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem by Dhia, Anne-Sophie Bonnet-Ben, Chesnel, Lucas, Pagneux, Vincent

    “…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. 19

    Spectrum of a diffusion operator with coefficient changing sign over a small inclusion by Chesnel, Lucas, Claeys, Xavier, Nazarov, Sergei A

    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…”
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  20. 20

    Perfect transmission invisibility for waveguides with sound hard walls by Dhia, Anne-Sophie Bonnet-Ben, Chesnel, Lucas, Nazarov, Sergei A

    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…”
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