Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners

Autor: Anne-Sophie Bonnet-Ben Dhia, Christophe Hazard, Florian Monteghetti

Publikováno v: Journal of Computational Physics
Journal of Computational Physics, 2021, 440, ⟨10.1016/j.jcp.2021.110433⟩
Journal of Computational Physics, Elsevier, In press, 440, ⟨10.1016/j.jcp.2021.110433⟩

International audience; A subwavelength metallic particle supports localized surface plasmons for some negative permittivity values, which are eigenvalues of the self-adjoint quasi-static plasmonic eigenvalue problem (PEP). This work investigates the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c02c40e9b0f059b5b5c1e694e5f18ced
https://hal.science/hal-02923259

Spectral analysis of polygonal cavities containing a negative-index material

Autor: Sandrine Paolantoni, Christophe Hazard

Publikováno v: Annales Henri Lebesgue
Annales Henri Lebesgue, UFR de Mathématiques-IRMAR, 2020, 3, pp.1161-1193. ⟨10.5802/ahl.58⟩
Annales Henri Lebesgue, 2020, 3, pp.1161-1193. ⟨10.5802/ahl.58⟩

The purpose of this paper is to investigate the spectral effects of an interface between vacuum and a negative-index material (NIM), that is, a dispersive material whose electric permittivity and magnetic permeability become negative in some frequenc

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43f1bb81f46587e773863199de2c8ddf

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

Autor: Sonia Fliss, Christophe Hazard, Antoine Tonnoir, Anne-Sophie Bonnet-Ben Dhia

Publikováno v: Comptes Rendus. Mathématique
Comptes Rendus. Mathématique, 2015, ⟨10.1016/j.crma.2015.10.015⟩
Comptes Rendus. Mathématique, Académie des sciences (Paris), 2015, ⟨10.1016/j.crma.2015.10.015⟩

International audience; We prove that there cannot exist square-integrable nonzero solutions to the Helmholtz equation in an axisymmetric conical domain whose vertex angle is greater than π. This implies in particular the absence of eigenvalues embe

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ff9f53bb1cba3367af5303f27ad999c
https://doi.org/10.1016/j.crma.2015.10.015

On the absence of trapped modes in locally perturbed open waveguides

Autor: Christophe Hazard

Publikováno v: IMA Journal of Applied Mathematics
IMA Journal of Applied Mathematics, Oxford University Press (OUP), 2014, pp.14. ⟨10.1093/imamat/hxu046⟩
IMA Journal of Applied Mathematics, 2014, pp.14. ⟨10.1093/imamat/hxu046⟩

International audience; 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 case of a closed waveguide. The originality of the proof lies in th

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::867cb982cef6f072e2d0c4433dac8f9f
https://doi.org/10.1093/imamat/hxu046

Mathematical Analysis of the Junction of Two Acoustic Open Waveguides

Autor: Christophe Hazard, Anne-Sophie Bonnet-Ben Dhia, Benjamin Goursaud

Publikováno v: SIAM Journal on Applied Mathematics
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2011, 71 (6), pp.2048-2071. ⟨10.1137/100811374⟩
SIAM Journal on Applied Mathematics, 2011, 71 (6), pp.2048-2071. ⟨10.1137/100811374⟩

International audience; 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 bounded region. We consider a two-dimensional problem for which wave

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9c934ef38912873a6cdc971d631c4416
https://doi.org/10.1137/100811374