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Christophe Hazard

35
Documents

Presentation

For ENSTA homepage, see [here](http://uma.ensta-paristech.fr/~hazard)
For ENSTA homepage, see [here](http://uma.ensta-paristech.fr/~hazard)

Publications

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Scattering in a partially open waveguide: the forward problem

Laurent Bourgeois , Sonia Fliss , Jean-François Fritsch , Christophe Hazard , Arnaud Recoquillay
IMA Journal of Applied Mathematics, 2023, 88, pp.102-151. ⟨10.1093/imamat/hxad004⟩
Journal articles hal-03407434v2
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Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance

Maxence Cassier , Christophe Hazard , Patrick Joly
Communications in Partial Differential Equations, 2022, 47 (6), pp.1217-1295. ⟨10.1080/03605302.2022.2051188⟩
Journal articles hal-03379054v1
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The Complex-Scaled Half-Space Matching Method

Anne-Sophie Bonnet-Ben Dhia , Simon N. Chandler-Wilde , Sonia Fliss , Christophe Hazard , Karl-Mikael Perfekt
SIAM Journal on Mathematical Analysis, 2022, 54 (1), pp.512-557. ⟨10.1137/20M1387122⟩
Journal articles hal-03087232v1
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Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners

Anne-Sophie Bonnet-Ben Dhia , Christophe Hazard , Florian Monteghetti
Journal of Computational Physics, 2021, 440, ⟨10.1016/j.jcp.2021.110433⟩
Journal articles hal-02923259v2
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Spectral analysis of polygonal cavities containing a negative-index material

Christophe Hazard , Sandrine Paolantoni
Annales Henri Lebesgue, 2020, 3, pp.1161-1193. ⟨10.5802/ahl.58⟩
Journal articles hal-01626868v2
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On well-posedness of scattering problems in a Kirchhoff-Love infinite plate

Laurent Bourgeois , Christophe Hazard
SIAM Journal on Applied Mathematics, 2020, 80 (3), pp.1546-1566
Journal articles hal-02334004v1

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
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A Rellich type theorem for the Helmholtz equation in a conical domain

Anne-Sophie Bonnet-Ben Dhia , Sonia Fliss , Christophe Hazard , Antoine Tonnoir
Comptes Rendus. Mathématique, 2015, ⟨10.1016/j.crma.2015.10.015⟩
Journal articles hal-01160242v1
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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
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On the absence of trapped modes in locally perturbed open waveguides

Christophe Hazard
IMA Journal of Applied Mathematics, 2014, pp.14. ⟨10.1093/imamat/hxu046⟩
Journal articles hal-00967920v1
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Finite element computation of trapped and leaky elastic waves in open stratified waveguides

Fabien Treyssede , Khac-Long Nguyen , Anne-Sophie Bonnet-Ben Dhia , Christophe Hazard
Wave Motion, 2014, 51 (7), pp.1093-1107. ⟨10.1016/j.wavemoti.2014.05.003⟩
Journal articles hal-01064430v1

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

Mathematical analysis of the junction of two acoustic open waveguides

Anne-Sophie Bonnet-Ben Dhia , Benjamin Goursaud , Christophe Hazard
SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2048-2071. ⟨10.1137/100811374⟩
Journal articles hal-00849568v1

Time reversal and scattering theory for time-dependent acoustic waves in a homogeneous medium

Chokri Ben-Amar , Christophe Hazard
IMA Journal of Applied Mathematics, 2011, 76, pp.938-955
Journal articles hal-00973843v1

Diffraction by a defect in an open waveguide: A Mathematical analysis based on a modal radiation condition

Anne-Sophie Bonnet-Ben Dhia , Ghania Dakhia , Christophe Hazard , Lahcène Chorfi
SIAM Journal on Applied Mathematics, 2009, 70 (3), pp.677-693. ⟨10.1137/080740155⟩
Journal articles hal-00873068v1

An improved multimodal approach for non-uniform acoustic waveguides

Christophe Hazard , Éric Lunéville
IMA Journal of Applied Mathematics, 2008, 73 (4), pp.668-690. ⟨10.1093/imamat/hxn006⟩
Journal articles hal-00873082v1

Spectral theory for an elastic thin plate floating on water of finite depth

Christophe Hazard , Michael H. Meylan
SIAM Journal on Applied Mathematics, 2007, 68 (3), pp.629-647. ⟨10.1137/060665208⟩
Journal articles hal-00876223v1

Generalized eigenfunction expansions for conservative scattering problems with an application to water waves

Christophe Hazard , François Loret
Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2007, 137 (5), pp.995-1035
Journal articles hal-00849554v1
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Numerical Simulation of Acoustic Time Reversal Mirrors

Chokri Ben-Amar , Nabil Gmati , Christophe Hazard , Karim Ramdani
SIAM Journal on Applied Mathematics, 2007, 67 (3), pp.777-791. ⟨10.1137/060654542⟩
Journal articles hal-00140349v1

The singularity expansion method applied to the transient motions of a floating elastic plate

Christophe Hazard , François Loret
ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 41 (5), pp.925-943. ⟨10.1051/m2an:2007040⟩
Journal articles hal-00876228v1
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Selective Acoustic Focusing Using Time-Harmonic Reversal Mirrors

Christophe Hazard , Karim Ramdani
SIAM Journal on Applied Mathematics, 2004, 64 (3), pp.1057-1076. ⟨10.1137/S0036139903428732⟩
Journal articles hal-00794524v1

A singular field method for Maxwell's equations: numerical aspects for 2D magnetostatics

Stephanie Lohrengel , Christophe Hazard
SIAM Journal on Numerical Analysis, 2002, 40 (3), pp.1021--1040. ⟨10.1137/S0036142900375761⟩
Journal articles hal-00210535v1

Numerical simulation of corner singularities: a paradox in Maxwell-like problems

Christophe Hazard
Comptes Rendus Mécanique, 2002, 330 (1), pp.57-68. ⟨10.1016/S1631-0721(02)01425-0⟩
Journal articles hal-00990190v1

Perturbation of low-frequency underwater acoustics by gravity waves

Isabelle Champy-Doutreleau , Daniel Euvrard , Christophe Hazard
Journal of Fluid Mechanics, 2000, 411, pp.305-324
Journal articles hal-00974736v1

A singular field method for the solution of Maxwell's equations

Anne-Sophie Bonnet-Ben Dhia , Christophe Hazard , Stéphanie Lohrengel
SIAM Journal on Applied Mathematics, 1999, 59 (6), pp.2028-2044. ⟨10.1137/S0036139997323383⟩
Journal articles hal-01009853v1

Existence, uniqueness and analyticity properties for electromagnetic scattering in a two-layered medium

Christophe Hazard , Pierre-Marie Cutzach
Mathematical Methods in the Applied Sciences, 1998, 21, pp.433-461
Journal articles hal-00974739v1

Les équations de Maxwell dans un polyèdre : un résultat de densité

Patrick Ciarlet , Christophe Hazard , Stéphanie Lohrengel
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 1998, 326 (11), pp.1305-1310. ⟨10.1016/S0764-4442(98)80184-5⟩
Journal articles hal-01010610v1

On the solution of time-harmonic scattering problems for Maxwell's equations

Christophe Hazard , Marc Lenoir
SIAM Journal on Mathematical Analysis, 1996, 27, pp.1597-1630
Journal articles hal-00974773v1

Determination of scattering frequencies for an elastic floating body

Christophe Hazard , Marc Lenoir
SIAM Journal on Mathematical Analysis, 1993, 24, pp.1458-1514
Journal articles hal-00974763v1

Variational formulations for the determination of resonant states in scattering problems

Marc Lenoir , M. Vullierme-Ledard , Christophe Hazard
SIAM Journal on Mathematical Analysis, 1992, 23, pp.579-608
Journal articles hal-00974746v1