Comptes Rendus
First principles homogenization of periodic metamaterials and application to wire media
[Homogénéisation ab-initio de métamatériaux périodiques et applications aux réseaux périodiques de fils métalliques]
Comptes Rendus. Physique, Volume 21 (2020) no. 4-5, pp. 367-388.

Nous présentons une revue d’une théorie ab-initio d’homogénéisation de métamatériaux périodiques. Nous montrons dans un cadre général qu’il est possible d’introduire formellement des paramètres effectifs qui décrivent l’évolution temporelle d’états initiaux (états à variation spatiale lente) du champ électromagnétique en faisant appel à un formalisme de type milieu effectif. Cette théorie est appliquée à différents types de métamatériaux constitués de réseaux périodiques de fils métalliques et qui ont par ailleurs la particularité d’être caractérisés par une forte dispersion spatiale dans la limite des grandes longueurs d’onde. Il est souligné que les effets de la dispersion spatiale peuvent mener à un contrôle sans précédent des phénomènes ondulatoires dans ces métamatériaux, notamment avec la possibilité d’effets tunnel exotiques ou encore de dispersion anormale sans perte et large bande.

Here, we present an overview of a first principles homogenization theory of periodic metamaterials. It is shown that in a rather general context it is possible to formally introduce effective parameters that describe the time evolution of macroscopic (slowly-varying in space) initial states of the electromagnetic field using an effective medium formalism. The theory is applied to different types of “wire metamaterials” characterized by a strong spatial dispersion in the long wavelength limit. It is highlighted that the spatial dispersion may tailor in unique ways the wave phenomena in wire metamaterials leading to exotic tunneling effects and broadband lossless anomalous dispersion.

Première publication :
Publié le :
DOI : 10.5802/crphys.4
Keywords: Homogenization, Effective medium, Wire medium, Metamaterials, Spatial dispersion
Mot clés : Homogénéisation, Milieu effectif, Réseaux de fils métalliques, Métamatériaux, Dispersion spatiale
Sylvain Lannebère 1 ; Tiago A. Morgado 1 ; Mário G. Silveirinha 1, 2

1 Department of Electrical Engineering, University of Coimbra and Instituto de Telecomunicações, 3030-290 Coimbra, Portugal
2 University of Lisbon – Instituto Superior Técnico, Department of Electrical Engineering, 1049-001 Lisboa, Portugal
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {First principles homogenization of periodic metamaterials and application to wire media},
     journal = {Comptes Rendus. Physique},
     pages = {367--388},
     publisher = {Acad\'emie des sciences, Paris},
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Sylvain Lannebère; Tiago A. Morgado; Mário G. Silveirinha. First principles homogenization of periodic metamaterials and application to wire media. Comptes Rendus. Physique, Volume 21 (2020) no. 4-5, pp. 367-388. doi : 10.5802/crphys.4. https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.4/

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