Accueil >
Production scientifique
Théorie des Interactions Fondamentales
(16) Production(s) de l'année 2017
|
|
Homogenization near resonances and artificial magnetism in 3D dielectric metamaterials 
Auteur(s): Bouchitté Guy, Bourel Christophe, Felbacq D.
(Article) Publié:
Archive For Rational Mechanics And Analysis, vol. 225 p.1233-1277 (2017)
Texte intégral en Openaccess : 
Ref HAL: hal-01240316_v1
Ref Arxiv: 1512.02463
DOI: 10.1007/s00205-017-1132-1
WoS: 000404633500008
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
17 Citations
Résumé: It is now well established 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 approach holds merely in the case of linearly polarized magnetic fields, reducing thus its applications to infinite cylindrical obstacles. In this paper we consider a dielectric structure placed in a bounded domain of $\mathbb{R}^3$ and perform a full 3D asymptotic analysis. The main ingredient is a new averaging method for characterizing the bulk effective magnetic field in the vanishing-period limit. We evidence a vectorial spectral problem on the periodic cell which determines micro-resonances and encodes the oscillating behavior of the magnetic field from which artificial magnetism arises. At a macroscopic level we deduce an effective permeability tensor that we can be make explicit as a function of the frequency. As far as sign-changing permeability are sought after, we may foresee that periodic bulk dielectric inclusions could be an efficient alternative to the very popular metallic split-ring structure proposed by Pendry.
|
|
|
|
A New Braid-like Algebra for Baxterisation
Auteur(s): Crampé N., Frappat L., Ragoucy E., Vanicat M.
(Article) Publié:
Communications In Mathematical Physics, vol. 349 p.271-283 (2017)
Texte intégral en Openaccess :
Ref HAL: hal-01220002_v1
Ref Arxiv: 1509.05516
DOI: 10.1007/s00220-016-2780-y
WoS: WOS:000392061000005
Ref. & Cit.: NASA ADS
Exporter : BibTex | endNote
3 Citations
Résumé: We introduce a new Baxterisation for R-matrices that depend separately on twospectral parameters. The Baxterisation is based on a new algebra, close to butdifferent from the braid group. This allows us to recover the R-matrix of themulti-species generalization of the totally asymmetric simple exclusion processwith different hopping rates.
|
