Search Results - "HAZARD, CHRISTOPHE"
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On the absence of trapped modes in locally perturbed open waveguides
Published in IMA journal of applied mathematics (01-08-2015)“…This paper presents a new approach for proving that the presence of a bounded defect in a uniform open waveguide cannot produce trapped modes, contrary to the…”
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DIFFRACTION BY A DEFECT IN AN OPEN WAVEGUIDE: A MATHEMATICAL ANALYSIS BASED ON A MODAL RADIATION CONDITION
Published in SIAM journal on applied mathematics (01-01-2009)“…We consider the scattering of a time-harmonic acoustic wave by a defect in a two-dimensional open waveguide. The scattered wave satisfies the Helmholtz…”
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3
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance
Published in Communications in partial differential equations (03-06-2022)“…This paper is concerned with the time-dependent Maxwell's equations for a plane interface between a negative material described by the Drude model and the…”
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4
Spectral analysis of polygonal cavities containing a negative-index material
Published in Annales Henri Lebesgue (05-11-2020)“…The purpose of this paper is to investigate the spectral effects of an interface between vacuumand a negative-index material (NIM), that is, a dispersive…”
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Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform
Published in Communications in partial differential equations (02-11-2017)“…We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and…”
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6
Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners
Published in Journal of computational physics (01-09-2021)“…•Particles with corners can exhibit complex plasmonic resonances.•Complex plasmonic resonances are linked to surface plasmons that blow up at corners.•Complex…”
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Space–time focusing of acoustic waves on unknown scatterers
Published in Wave motion (01-12-2014)“…Consider a propagative medium, possibly inhomogeneous, containing some scatterers whose positions are unknown. Using an array of transmit–receive transducers,…”
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Numerical modeling of three-dimensional open elastic waveguides combining semi-analytical finite element and perflectly matched layer methods
Published in Journal of sound and vibration (01-01-2015)“…Among the numerous techniques of non destructive evaluation, elastic guided waves are of particular interest to evaluate defects inside industrial and civil…”
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9
Scattering in a partially open waveguide: the forward problem
Published in IMA journal of applied mathematics (01-04-2023)“…This paper is devoted to an acoustic scattering problem in a 2D partially open waveguide, in the sense that the left part of the waveguide is closed, that is…”
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Multiple scattering of acoustic waves by small sound-soft obstacles in two dimensions: Mathematical justification of the Foldy–Lax model
Published in Wave motion (01-01-2013)“…We are concerned with a two-dimensional problem which models the scattering of a time-harmonic acoustic wave by an arbitrary number of sound-soft circular…”
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Finite element computation of trapped and leaky elastic waves in open stratified waveguides
Published in Wave motion (01-11-2014)“…Elastic guided waves are of interest for inspecting structures due to their ability to propagate over long distances. In numerous applications, the guiding…”
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12
Spectral Theory for an Elastic Thin Plate Floating on Water of Finite Depth
Published in SIAM journal on applied mathematics (01-01-2007)“…The spectral theory for a two-dimensional elastic plate floating on water of finite depth is developed (this reduces to a floating rigid body or a fixed body…”
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13
MATHEMATICAL ANALYSIS OF THE JUNCTION OF TWO ACOUSTIC OPEN WAVEGUIDES
Published in SIAM journal on applied mathematics (01-01-2011)“…The present paper concerns the scattering of a time-harmonic acoustic wave by the junction of two open uniform waveguides, where the junction is limited to a…”
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14
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part II: Limiting absorption, limiting amplitude principles and interface resonance
Published 13-10-2021“…This paper is concerned with the time-dependent Maxwell's equations for a plane interface between a negative material described by the Drude model and the…”
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15
A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
Published in SIAM journal on numerical analysis (01-01-2003)“…The present paper deals with the solution of Maxwell-type problems by means of nodal H1-conforming finite elements. In a nonconvex piecewise regular domain…”
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16
Time reversal and scattering theory for time-dependent acoustic waves in a homogeneous medium
Published in IMA journal of applied mathematics (01-12-2011)“…We consider the scattering of time-dependent acoustic waves by some bounded obstacles located in a homogeneous and non-dissipative medium. We propose a…”
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17
A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
Published in SIAM journal on numerical analysis (01-01-2002)“…The present paper deals with the solution of Maxwell-type problems by means of nodal H1-conforming finite elements. In a nonconvex piecewise regular domain…”
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18
An improved multimodal approach for non-uniform acoustic waveguides
Published in IMA journal of applied mathematics (01-08-2008)“…This paper explores from the point of view of numerical analysis a method for solving the acoustic time-harmonic wave equation in a locally non-uniform 2D…”
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19
Selective Acoustic Focusing Using Time-Harmonic Reversal Mirrors
Published in SIAM journal on applied mathematics (01-01-2004)“…A mathematical study of the focusing properties of acoustic fields obtained by a time-reversal process is presented. The case of time-harmonic waves…”
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20
Numerical Simulation of Acoustic Time Reversal Mirrors
Published in SIAM journal on applied mathematics (01-01-2007)“…We study the time reversal phenomenon in a homogeneous and nondissipative medium containing sound-hard obstacles. We propose two mathematical models of time…”
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