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Journal articles
Quasinormal mode solvers for resonators with dispersive materials
Philippe Lalanne
1
W. Yan
1
A. Gras
1
Christophe Sauvan
2
Jean-Paul Hugonin
2
Mondher Besbes
2
Guillaume Demésy
3, 4
M. D. Truong
3
B. Gralak
3, 5
F. Zolla
3, 4
A. Nicolet
3, 4
F. Binkowski
6
L. Zschiedrich
7
S. Burger
6, 8
J. Zimmerling
9
R. Remis
9
P. Urbach
10
Haitao Liu
11
T. Weiss
12
Philippe Lalanne 1
Author IdHAL : philippe-lalanne
W. Yan 1
Author
A. Gras 1
Author
Christophe Sauvan 2
Author IdHAL : christophe-sauvan ORCID : https://orcid.org/0000-0002-8360-9254
Jean-Paul Hugonin 2
Author
Mondher Besbes 2
Author
Guillaume Demésy 3, 4
Author
M. D. Truong 3
Author
1
LP2N - Laboratoire Photonique, Numérique et Nanosciences (Institut d’Optique d’Aquitaine
Rue François Mitterrand
33400 Talence
France - France)
- UB - Université de Bordeaux (35, place Pey Berland - 33076 Bordeaux - France)
- IOGS - Institut d'Optique Graduate School (2 avenue Augustin Fresnel, 91127 Palaiseau Cedex - France)
- CNRS - Centre National de la Recherche Scientifique (France)
2
Laboratoire Charles Fabry / Nanophotonique (France)
- LCF - Laboratoire Charles Fabry (2 avenue Augustin Fresnel, 91127 Palaiseau Cedex - France)
- UP11 - Université Paris-Sud - Paris 11 (Bâtiment 300 - 91405 Orsay cedex - France)
- CNRS - Centre National de la Recherche Scientifique : UMR8501 (France)
- IOGS - Institut d'Optique Graduate School (2 avenue Augustin Fresnel, 91127 Palaiseau Cedex - France)
3
FRESNEL - Institut FRESNEL (Faculté des Sciences et Techniques
avenue Escadrille Normandie Niemen
13 397 Marseille cedex 20 - France)
- AMU - Aix Marseille Université : UMR7249 (Aix-Marseille Université Jardins du Pharo 58 Boulevard Charles Livon 13284 Marseille cedex 7 - France)
- ECM - École Centrale de Marseille : UMR7249 (Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille - France)
- CNRS - Centre National de la Recherche Scientifique : UMR7249 (France)
4
ATHENA - ATHENA (France)
- FRESNEL - Institut FRESNEL (Faculté des Sciences et Techniques
avenue Escadrille Normandie Niemen
13 397 Marseille cedex 20 - France)
- AMU - Aix Marseille Université : UMR7249 (Aix-Marseille Université Jardins du Pharo 58 Boulevard Charles Livon 13284 Marseille cedex 7 - France)
- ECM - École Centrale de Marseille : UMR7249 (Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille - France)
- CNRS - Centre National de la Recherche Scientifique : UMR7249 (France)
5
EPSILON - EPSILON (France)
- FRESNEL - Institut FRESNEL (Faculté des Sciences et Techniques
avenue Escadrille Normandie Niemen
13 397 Marseille cedex 20 - France)
- AMU - Aix Marseille Université : UMR7249 (Aix-Marseille Université Jardins du Pharo 58 Boulevard Charles Livon 13284 Marseille cedex 7 - France)
- ECM - École Centrale de Marseille : UMR7249 (Pôle de l'étoile - Technopole de Château-Gombert - 38 rue Frédéric Joliot-Curie - 13013 Marseille - France)
- CNRS - Centre National de la Recherche Scientifique : UMR7249 (France)
6
ZIB - Zuse Institute Berlin (Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB Takustraße 7 D-14195 Berlin-Dahlem - Germany)
7
JCMwave GmbH (Germany)
9
TU Delft - Delft University of Technology (Postbus 5 2600 AA Delft - Netherlands)
10
Optics Research Group, Department of Imaging Science and Technology, Delft University of Technology, Lorentzweg, Delft, The Netherlands (Netherlands)
- Netherlands Organisation for Scientific Research (Netherlands)
- TU Delft - Delft University of Technology (Postbus 5 2600 AA Delft - Netherlands)
11
IMO - Institute of Modern Optics, Nankai University, Tianjin, China (China)
- NKU - Nankai University (No.94 Weijin Road, Nankai District, Tianjin, P.R.China 300071 - China)
12
University of Stuttgart (Germany)
Abstract : Optical resonators are widely used in modern photonics. Their spectral response and temporal dynamics are fundamentally driven by their natural resonances, the so-called quasinormal modes (QNMs), with complex frequencies. For optical resonators made of dispersive materials, the QNM computation requires solving a nonlinear eigenvalue problem. This raises a difficulty that is only scarcely documented in the literature. We review our recent efforts for implementing efficient and accurate QNM solvers for computing and normalizing the QNMs of micro- and nanoresonators made of highly dispersive materials. We benchmark several methods for three geometries, a two-dimensional plasmonic crystal, a two-dimensional metal grating, and a three-dimensional nanopatch antenna on a metal substrate, with the perspective to elaborate standards for the computation of resonance modes.
Document type :
Journal articles
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https://hal-iogs.archives-ouvertes.fr/hal-02348417
Contributor : Christophe Sauvan <>
Submitted on : Friday, April 17, 2020 - 4:09:11 PM
Last modification on : Saturday, October 3, 2020 - 3:26:26 AM
Contributor : Christophe Sauvan <>
Submitted on : Friday, April 17, 2020 - 4:09:11 PM
Last modification on : Saturday, October 3, 2020 - 3:26:26 AM
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1811.11751.pdf
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Identifiers
- HAL Id : hal-02348417, version 1
- DOI : 10.1364/JOSAA.36.000686
Collections
IOGS | UNIV-PARIS-SACLAY | LP2N | LCFIO | PARISTECH | EC-MARSEILLE | IF | UNIV-AMU | CNRS | UNIV-COTEDAZUR
Citation
Philippe Lalanne, W. Yan, A. Gras, Christophe Sauvan, Jean-Paul Hugonin, et al.. Quasinormal mode solvers for resonators with dispersive materials. Journal of the Optical Society of America. A Optics, Image Science, and Vision, Optical Society of America, 2019, 36 (4), pp.686-704. ⟨10.1364/JOSAA.36.000686⟩. ⟨hal-02348417⟩
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