UMA Home page for Lucas Chesnel
Research activities
I am a junior scientist (CRN Inria) and work in the Idefix team.
I work on problems appearing in various fields of physics such as acoustics, water-waves theory or electromagnetism. I am particularly interested in the analysis of phenomena of wave propagation in metamaterials and in plasmonic structures. Recently, I have been working also on questions of invisibility for an observer with a finite number of measurement devices.
I am led to study different branches of applied math from partial differential equations to numerical analysis, through spectral theory, asymptotic analysis or inverse problems.
I work on problems appearing in various fields of physics such as acoustics, water-waves theory or electromagnetism. I am particularly interested in the analysis of phenomena of wave propagation in metamaterials and in plasmonic structures. Recently, I have been working also on questions of invisibility for an observer with a finite number of measurement devices.
I am led to study different branches of applied math from partial differential equations to numerical analysis, through spectral theory, asymptotic analysis or inverse problems.
Teaching activities (sorry, only french text)
Chargé de TD (2009-2012) pour le cours MA201 de l'Ensta : Introduction à la méthode des éléments finis.
Chargé de TD (2009-2011) pour le cours MA205 de l'Ensta : Fonctions de variable complexe.
Chargé de TD (2010-2012) pour le cours MA261 de l'Ensta : Introduction au Calcul Scientifique.
Chargé de TD (2011-2012) pour le cours C7-1 de l'Ensta : Les équations de Maxwell et leur approximation.
Chargé de TD (2009-2011) pour le cours MA205 de l'Ensta : Fonctions de variable complexe.
Chargé de TD (2010-2012) pour le cours MA261 de l'Ensta : Introduction au Calcul Scientifique.
Chargé de TD (2011-2012) pour le cours C7-1 de l'Ensta : Les équations de Maxwell et leur approximation.
Publications
Papers in peer-reviewed journals
Submitted
- Generalized impedance boundary conditions with vanishing or sign-changing impedance
and
submitted [
] 
- Maxwell's equations with hypersingularities at a negative index material conical tip
, and
submitted
2022
- Acoustic passive cloaking using thin outer resonators
, and
Zeitschrift für Angewandte Mathematik und Physik, vol. 73 (3), Springer Verlag, jun, 2022 - Design of a mode converter using thin resonant ligaments
, and
Communications in Mathematical Sciences, vol. 20 (2), pp. 425–445, International Press, 2022 - Maxwell's equations with hypersingularities at a conical plasmonic tip
, and
Journal de mathématiques pures et appliquées, vol. 161, pp. 70-110, feb, 2022
2021
- A continuation method for building invisible obstacles in waveguides
, and
Quarterly Journal of Mechanics and Applied Mathematics, 2021 - Abnormal acoustic transmission in a waveguide with perforated screens
and
Comptes Rendus. Mécanique, Académie des sciences (Paris), 2021 - Design of an acoustic energy distributor using thin resonant slits
and
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, Royal Society, The, 2021 - Qualitative indicator functions for imaging crack networks using acoustic waves
, , and
SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2021
2020
- Exact zero transmission during the Fano resonance phenomenon in non symmetric waveguides
and
Zeitschrift für Angewandte Mathematik und Physik, Springer Verlag, may, 2020 - Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients
, , and
Annales de la Faculté des Sciences de Toulouse, dec, 2020 
- On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates
and
M2AN, vol. 54-2, pp. 493-529, feb, 2020 [ ] - Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
, and
Asymptotic Analysis, IOS Press, 2020
2019
- On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
, and
Communications in Mathematical Sciences, vol. 17/6, pp. 1487 – 1529, dec, 2019 [ ]
2018
- On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
, and
sep, 2018 [ ] - Trapped modes and reflectionless modes as eigenfunctions of the same spectral problem
, and
Proceedings of the Royal Society A, 2018 [ ]
2017
- Eigenvalue problems with sign-changing coefficients
, and
C. R. Acad. Sci. Paris, Ser. I, vol. 355, pp. 671-675, 2017 - Perfect transmission invisibility for waveguides with sound hard walls
, and
Journal de Mathématiques Pures et Appliquées, 2017
2016
- On the use of Perfectly Matched Layers at corners for scattering problems with sign-changing coefficients
, , and
J. Comput. Phys., vol. 322, pp. 224-247, 2016
2015
- Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions
, and
Inverse Problems, vol. 31, 2015 [ ]
2014
- T-coercivity for the Maxwell problem with sign-changing coefficients
, and
Communications in Partial Differential Equations, vol. 39, pp. 1007-1031, 2014 - Two-dimensional Maxwell's equations with sign-changing coefficients
, and
Applied Numerical Mathematics, vol. 79, pp. 29-41, 2014 [ ]
2013
- Radiation condition for a non-smooth interface between a dielectric and a metamaterial
, and
Math. Models Meth. App. Sci., vol. 3, aug, 2013 [ ] - Strongly oscillating singularities for the interior transmission eigenvalue problem
and
Inverse Problems, vol. 19(10), pp. 104004, 2013 - T-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
and
Numer. Math., vol. 124, pp. 1-19, 2013 [ ]
2012
- Interior transmission eigenvalue problem for Maxwell's equations: the T-coercivity as an alternative approach
Inverse problems, vol. 28, pp. 065005, 2012 [ ] - T-coercivity for scalar interface problems between dielectrics and metamaterials
, and
Math. Mod. Num. Anal., vol. 46, pp. 1363-1387, 2012 [ ]
2011
- Compact imbeddings in electromagnetism with interfaces between classical materials and meta-materials
and
SIAM J. Math. Anal., vol. 43(5), pp. 2150-2169, 2011 [ ] - On the use of T-coercivity to study the Interior Transmission Eigenvalue Problem.
, and
C. R. Acad. Sci., Ser. I, vol. 340, 2011 [ ]
International conferences with proceedings
2013
- Negative materials and corners in electromagnetism
, , , and
Report No.3/2013 of Mathematisches Forschungsinstitut Oberwolfach "Computational Electromagnetism and Acoustics", Oberwolfach., Allemagne, 2013 [ ] - Plasmonic cavity modes: black-hole phenomena captured by Perfectly Matched Layers
, , and
PIERS, Stockholm, aug, 2013 [ ]
Conferences without proceedings
2014
- Leaky modes in a non dissipative plasmonic waveguide with a bounded cross section
, , and
OWTNM, Nice, France, jun, 2014 - Revealing guides modes in a plasmonic waveguide using Perfectly Matched Layers at the corners
, , and
KOZWaves, Newcastle, Australia, feb, 2014 [ ]
2013
- Negative materials and corners in electromagnetism
, , , and
Conference on Computational Electromagnetism and Acoustics, Oberwolfach, Allemagne, 2013 [ ] - Plasmonic cavity modes with sign changing permittivity
, , , and
WAVES, Tunisia, jun, 2013 [ ]
2012
- Black holes in metamaterials
, , , and
MATHmONDES 2012, Reading, jul, 2012 - Interior Transmission Eigenvalue Problem and T-coercivity
, and
Picof conference, Palaiseau, 2012 [ ] - Mathematical analysis of time harmonic Maxwell equations with sign changing coefficients
, and
Journées de Metz 2012, 2012 - On the use of Perfectly Matched Layers to capture strongly confined plasmonic edge waves
, , , and
ETOPIM (Electrical, Transport and Optical Properties of Inhomogeneous Media), Marseille, sep, 2012 - PhD defense. Investigation of some transmission problems with sign changing coefficients. Application to metamaterials.
Ensta Paris, Palaiseau, oct 2012 [ ] - Time harmonic Maxwell equations with sign changing coefficients
, , and
Workshop: around scattering by obstacles and billiards, Aveiro, 2012 [ ] - Transmission eigenvalue problems with sign-changing coefficients
, , and
Picof conference, Palaiseau, 2012 [ ] - Transmission problems with sign-changing coefficients
, and
Congrès de MÉthodes numériques et MOdélisation, Tunis, dec, 2012
2011
- Les problèmes mathématiques et numériques posés par la simulation des interfaces entre diélectriques et métamatériaux
, and
Colloque National Métamatériaux 2011, Orsay, 2011 [ ] - Problèmes de propagation d'ondes dans un milieu diélectrique métamatériau
, and
Congrès d'inauguration de la Fondation Mathématique Jacques Hadamard, Ecole Polytechnique, Palaiseau, 2011 [ ] - Radiation condition for a non-smooth interface between a dielectric and a metamaterial
, and
10th International Conference on Mathematical and Numerical Aspects of Waves, Waves 2011, Vancouver, 2011 [ ] - Radiation condition for a non-smooth interface between a dielectric and a metamaterial
, , and
Numerical Electromagnetics & Industrial Applications (NELIA 2011), Santiago de Compostela, 2011 [ ] - Radiation condition for a non-smooth interface between a dielectric and a metamaterial
, and
10th International Conference on Mathematical and Numerical Aspects of Waves, Waves 2011, Vancouver, 2011 [ ] - Scalar waves transmission problems with sign-changing coefficients
, and
ICIAM conference, Vancouver, 2011 [ ]
2010
- Electromagnetic wave propagation at classical/metamaterial interfaces - Mathematical aspects
, and
Workshop : Metamaterials: Applications, Analysis and Modeling, IPAM (Los Angeles), 2010 [ ]
Doctoral these
2012
- Étude de quelques problèmes de transmission avec changement de signe. Application aux métamatériaux.
Ecole doctorale de l'Ecole Polytechnique (EDX) - ED 447, oct 2012 [ ]
Preprints
2023
2022
- Acoustic waveguide with a dissipative inclusion
, , and
jul, 2022
Multimedia
2017
- A new complex spectrum associated to invisibility in waveguides
, and
Mathematical aspects of physics with non-self-adjoint operators, CIRM, Marseille, 2017