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Mathematical models for dispersive electromagnetic waves: An overview

Maxence Cassier , Patrick Joly , Maryna Kachanovska
Computers & Mathematics with Applications, 2017, 74 (11), pp.2792-2830. ⟨10.1016/j.camwa.2017.07.025⟩
Journal articles hal-01647185v1

Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform

Maxence Cassier , Christophe Hazard , Patrick Joly
Communications in Partial Differential Equations, 2017, 42 (11), pp.1707-1748
Journal articles hal-01379118v1

Imaging small dielectric scatterers from polarization data

Patrick Bardsley , Maxence Cassier , Fernando Guevara Vasquez
9th International Conference "Inverse problems: Modeling and Simulation", May 2018, Il-Mellieħa, Malta
Conference papers hal-02400770v1
Image document

Active exterior cloaking and mimicking for the heat equation

Maxence Cassier , Trent DeGiovanni , Sebastien Guenneau , Fernando Guevara Vasquez
Metamaterials'2022 - The 16th International Congress on Artificial Materials for Novel Wave Phenomena, Sep 2022, Sienna, Italy. pp.178--180, ⟨10.1109/Metamaterials54993.2022.9920799⟩
Conference papers hal-03850540v1
Image document

Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties

Boris Gralak , Sébastien Guenneau , Maxence Cassier , Guillaume Demésy
Compendium on Electromagnetic Analysis From Electrostatics to Photonics: Fundamentals and Applications for Physicists and Engineers Volume 4: Optics and Photonics I, 2020, ⟨10.1142/10987-vol4⟩
Book sections hal-03091852v1
Image document

Imaging polarizable dipoles

Maxence Cassier , Fernando Guevara Vasquez
WAVES 2017, May 2017, Minneapolis, United States
Conference papers hal-03484055v1

Imaging small polarizable scatterers with polarization data

Patrick Bardsley , Maxence Cassier , Fernando Guevara Vasquez
Inverse Problems, 2018, 34, ⟨10.1088/1361-6420/aad342⟩
Journal articles hal-01967557v1
Image document

Imaging small dielectric inclusions with polarization data

Patrick Bardsley , Maxence Cassier , Fernando Guevara Vasquez
14th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Aug 2019, Vienne, Austria
Conference papers hal-02400344v1

On the spectral theory and limiting amplitude principle for Maxwells equations at the interface of a metamaterial

Maxence Cassier , Christophe Hazard , Patrick Joly
11th International Conference ETOPIM, Jul 2018, Cracow, Poland
Conference papers hal-02400713v1
Image document

Imaging small scatterers with electromagnetic waves

Maxence Cassier , Fernando Guevara Vasquez
Computational Inverse Problems for Partial Differential Equations (Oberwolfach Workshop), May 2017, Oberwolfach, Germany
Conference papers hal-03484076v1
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TE band structure for honeycomb media in a high contrast regime

Maxence Cassier , Michael I. Weinstein
Waves 2022, Jul 2022, Palaiseau, France
Conference papers hal-03850503v1
Image document

Étude de deux problèmes de propagation d'ondes transitoires : 1) Focalisation spatio-temporelle en acoustique; 2) Transmission entre un diélectrique et un métamatériau.

Maxence Cassier
Equations aux dérivées partielles [math.AP]. Ecole Polytechnique X, 2014. Français. ⟨NNT : ⟩
Theses pastel-01023289v1
Image document

Active Thermal Cloaking and Mimicking

Maxence Cassier , Trent Degiovanni , Fernando Guevara Vasquez , Sebastien Guenneau
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences, 2021, 477 (2249), pp.20200941. ⟨10.1098/rspa.2020.0941⟩
Journal articles hal-03040822v1

Imaging small polarizable scatterers with polarization data

Patrick Bardsley , Maxence Cassier , Fernando Guevara Vasquez
Inverse Problems Network Meeting 4, Jan 2019, Leeds, United Kingdom
Conference papers hal-02400821v1

Mathematical models for dispersive electromagnetic waves

Maxence Cassier , Patrick Joly , Maryna Kachanovska
19w5209 - Herglotz-Nevanlinna Theory Applied to Passive, Causal and Active Systems, Oct 2019, Banff International Research Station, Banff, Canada
Conference papers hal-02401033v1

Imaging small polarizable scatterers with polarization data

Patrick Bardsley , Maxence Cassier , Fernando Guevara Vasquez
Applied Inverse Problems Conference, Jul 2019, Grenoble, France
Conference papers hal-02400980v1

Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties

Boris Gralak , Maxence Cassier , Guillaume Demésy , Sebastien Guenneau
Michael Donahue, Yilmaz Sozer, Thomas Bauernfeind, Vadim Markel. Compendium on Electromagnetic Analysis From Electrostatics to Photonics: Fundamentals and Applications for Physicists and Engineers, 4, pp.205-241, In press, Optics and Photonics I, 978-981-3270-16-9. ⟨10.1142/9789813270329_0004⟩
Book sections hal-01915123v1

A rigorous approach to the field recursion method for two-component composites with isotropic phases

Maxence Cassier , Aaron Welters , Graeme W. Milton
In Extending the theory of composites to other areas of science edited by Graeme W. Milton and reviewed by the Journal of Applied Mechanics and SIAM Review, 2016
Book sections hal-01967595v1
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Long time behaviour for electromagnetic waves in dissipative Lorentz media

Maxence Cassier , Patrick Joly , Luis Alejandro Rosas Martínez
Waves 2022 - 15th International Conference on Mathematical and Numerical Aspects of Wave Propagation, Jul 2022, Palaiseau, France
Conference papers hal-03850494v1

Analyticity of the Dirichlet-to-Neumann map for the time-harmonic Maxwell's equations,

Maxence Cassier , Aaron Welters , Graeme W. Milton
In Extending the theory of composites to other areas of science edited by Graeme W. Milton and reviewed by the Journal of Applied Mechanics and SIAM Review, 2016
Book sections hal-01967593v1
Image document

High contrast elliptic operators in honeycomb structures

Maxence Cassier , Michael I Weinstein
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2021, 19 (4), pp.1784--1856
Journal articles hal-03426875v1
Image document

TE Band Structure for High Contrast Honeycomb Media

Maxence Cassier , Michael I. Weinstein
Metamaterials'2020 - The 14th International Congress on Artificial Materials for Novel Wave Phenomena, Sep 2020, New-York, United States. pp.479--481, ⟨10.1109/Metamaterials49557.2020.9284975⟩
Conference papers hal-03041931v1

Bounds on Herglotz functions and fundamental limits to broadband passive quasistatic cloaking

Maxence Cassier , Graeme W. Milton
11th International Conference ETOPIM, Jul 2018, Cracow, Poland
Conference papers hal-02400682v1
Image document

Bounds on Herglotz functions and physical limits to broadband passive cloaking in the quasitatic regime

Maxence Cassier , Graeme W. Milton
Computational Inverse Problems for Partial Differential Equations in Mathematisches Forschungsinstitut Oberwolfach, Dec 2020, Oberwolfach, Germany
Conference papers hal-03426920v1
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Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (I) A frequency dependent Lyapunov function approach

Maxence Cassier , Patrick Joly , Luis Alejandro Rosas Martínez
2022
Preprints, Working Papers, ... hal-03850472v1
Image document

Bounds on Herglotz functions and fundamental limits of broadband passive quasistatic cloaking

Maxence Cassier , Graeme W. Milton
Journal of Mathematical Physics, 2017, 58 (7), ⟨10.1063/1.4989990⟩
Journal articles hal-01967587v1

Limiting Amplitude Principle for Maxwell's Equations at the Interface of a Metamaterial

Maxence Cassier , Christophe Hazard , Patrick Joly
Applied Inverse Problems Conference, Jul 2019, Grenoble, France
Conference papers hal-02401004v1

Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: Mathematical justification of the Foldy-Lax model

Maxence Cassier , Christophe Hazard
Wave Motion, 2013, 50 (1), pp.18-28. ⟨10.1016/j.wavemoti.2012.06.001⟩
Journal articles hal-00849557v1
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Space-time focusing of acoustic waves on unknown scatterers

Maxence Cassier , Christophe Hazard
Wave Motion, 2014, pp.19. ⟨10.1016/j.wavemoti.2014.07.009⟩
Journal articles hal-00935844v1

Imaging Polarizable Dipoles

Maxence Cassier , Fernando Guevara Vasquez
SIAM Journal on Imaging Sciences, 2017, 10 (3)
Journal articles hal-01967588v1