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(96) Production(s) de FELBACQ D.
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Reformulation of the eigenvalue problem in the Fourier modal method with spatial adaptive resolution
Auteur(s): Guizal B., Yala H., Felbacq D.
(Article) Publié:
Optics Letters, vol. 34 p.2790-2792 (2009)
Ref HAL: hal-00437969_v1
PMID 19756106
DOI: 10.1364/OL.34.002790
WoS: 000270114800031
Exporter : BibTex | endNote
30 Citations
Résumé: The Fourier modal method equipped with the concept of adaptive spatial resolution (FMMASR) is shown to be naturally more stable than the classical Fourier modal method toward spurious modes that appear with metallic structures. It is demonstrated that this stability can be further improved by reformulating the eigenvalue problem of the FMMASR. (C) 2009 Optical Society of America
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Fourier modal method with spatial adaptive resolution for structures comprising homogeneous layers
Auteur(s): Yala Hakim, Guizal B., Felbacq D.
(Article) Publié:
Journal Of The Optical Society Of America A, vol. 26 p.2567-2570 (2009)
Ref HAL: hal-00808393_v1
PMID 19956325
DOI: 10.1364/JOSAA.26.002567
WoS: 000272349500012
Exporter : BibTex | endNote
8 Citations
Résumé: A numerical improvement of the Fourier modal method with adaptive spatial resolution is obtained. It is shown that the solutions of all the eigenvalue problems corresponding to homogeneous regions can be deduced straightforwardly from the solution of one of these problems. Numerical examples demonstrate that computation time saving can be substantial.
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Resonant cavitylike modes in dielectric photonic crystals made of collections of subwavelength cylinders
Auteur(s): Chern Ruey-lin, Felbacq D.
(Article) Publié:
Physical Review B, vol. 80 p.205115 (2009)
Ref HAL: hal-00808390_v1
DOI: 10.1103/PhysRevB.80.205115
WoS: 000272311400043
Exporter : BibTex | endNote
2 Citations
Résumé: We investigate resonant cavitylike modes in dielectric photonic crystals made of collections of subwavelength cylinders with high permittivity. A large number of collective modes appear for TE polarization (where magnetic fields are oriented along the cylinder axis), which possess similar features of resonant cavity modes that occur in polaritonic structures. These modes are dispersionless in nature and intensively gathered around an asymptotic frequency that depends on the subwavelength cylinders. The typical resonant cavitylike modes are illustrated with the magnetic field distributions at the resonant frequencies. In particular, the field pattern in the building block shows a close resemblance to TEnm mode of an isolated waveguide. The respective cutoff frequency at large oscillation orders serves as the asymptotic frequency of resonant cavitylike modes.
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Homogenization of the 3D Maxwell system near resonances and artificial magnetism
Auteur(s): Bouchitte Guy, Bourel Christophe, Felbacq D.
(Article) Publié:
Comptes Rendus De L Académie Des Sciences - Series I - Mathematics, vol. 347 p.571-576 (2009)
Texte intégral en Openaccess :
Ref HAL: hal-00385882_v1
DOI: 10.1016/j.crma.2009.02.027
WoS: 000266070400022
Exporter : BibTex | endNote
48 Citations
Résumé: It is now well known that the homogenization of a periodic array of parallel dielectric fibers with suitably scaled high permittivity can lead to a possibly negative frequency dependent effective permeability. However this result based on a two-dimensional micro resonator problem on the section of the fibers holds merely in the case of polarized magnetic fields, reducing thus its applications to infinite cylindrical obstacles. In this Note we propose a full 3D extension of previous asymptotic analysis based on a new averaging method for the magnetic field. We evidence a vectorial spectral problem on the periodic cell which accounts for micro-resonance effects and leads to a 3D negative effective permeability tensor. This suggests that periodic bulk dielectric inclusions could be an efficient alternative to the very popular metallic split-ring structure proposed by Pendry.
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Artificial magnetism and anticrossing interaction in photonic crystals and split-ring structures
Auteur(s): Felbacq D., Chern Ruey-Lin
(Article) Publié:
Physical Review B, vol. 79 p.075118 (2009)
Ref HAL: hal-00385879_v1
DOI: 10.1103/PhysRevB.79.075118
WoS: 000263815800040
Exporter : BibTex | endNote
12 Citations
Résumé: In this paper, the authors conduct a study of artificial magnetism and anticrossing interaction that arise in photonic crystals and split-ring structures. The magnetic activity comes from localization of fields in photonic crystals with large dielectric contrast as well as in split-ring structures with the defectlike resonance. Both structures exhibit similar dispersion features near the resonance, whose effective permeability can be described in terms of the Lorentz-type oscillators. In particular, strong magnetic response is accompanied with the anticrossing interaction between the two fundamental frequency branches. This feature is characterized by a simple dynamic model which incorporates the coupling between a free and a localized photon state and illustrated with the transition of mode patterns where the fields mutually exchange their localization nature as the wave number changes.
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Effective properties of membrane photonic crystals
Auteur(s): Felbacq D., Bouchitte Guy, Guizal B., Bourel Christophe
(Article) Publié:
Journal Of Nanophotonics, vol. 3 p.031507 (2009)
Ref HAL: hal-00385872_v1
DOI: 10.1117/1.3097796
WoS: 000272328600008
Exporter : BibTex | endNote
7 Citations
Résumé: Wave propagation in thin nanostructured films in the low frequency regime was studied. By means of a two-scale analysis, the medium can be homogenized, i.e. described by effective electromagnetic parameters. The effective permeability and permittivity were obtained from a set of partial differential equations. A numerical approach based on the Fourier Modal Method was devised in order to solve these equations.
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Theoretical study off all-dielectric rod-type metamaterials: a route towards optical frequencies
Auteur(s): Vynck Kevin, Felbacq D., Centeno Emmanuel, Guizal B., Cassagne D.
Conference: PECS VIII ~ The 8th International Photonic & Electromagnetic Crystal Structures Meeting (Sydney, AU, 2009-04-05)
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