Reflection and transmission of light at periodic layered metamaterial films

Thomas Paul 1 C. Menzel 1 Wojciech Śmigaj 2 C. Rockstuhl 1 Philippe Lalanne 3, 2 F. Lederer 1
2 Laboratoire Charles Fabry de l'Institut d'Optique / Naphel
LCFIO - Laboratoire Charles Fabry de l'Institut d'Optique
3 lp2n-03,lp2n-13
LP2N - Laboratoire Photonique, Numérique et Nanosciences
Abstract : The appropriate description of light scattering (transmission/reflection) at a bulky artificial medium, consisting of a sequence of functional metamaterial and natural material films, represents a major challenge in current theoretical nano-optics. Because in many relevant cases, in particular, in the optical domain, a metamaterial must not be described by an effective permittivity and permeability the usual Fresnel formalism cannot be applied. A reliable alternative consists in using a Bloch mode formalism known, e.g., from the theory of photonic crystals. It permits to split this complex issue into two more elementary ones, namely the study of light propagation in an infinitely extended metamaterial and the analysis of light scattering at interfaces between adjacent meta and natural materials. The first problem is routinely solved by calculating the relevant Bloch modes and their dispersion relations. The second task is more involved and represents the subject of the present study. It consists in using the general Bloch mode orthogonality to derive rigorous expressions for the reflection and transmission coefficients at an interface between two three-dimensional absorptive periodic media for arbitrary incidence. A considerable simplification can be achieved if only the fundamental Bloch modes of both media govern the scattering properties at the interface. If this approximation is valid,which depends on the longitudinalmetamaterial period, the periodic metamaterial may be termed homogeneous. Only in this case the disentanglement of the fundamental modes of both media can be performed and the reflection/transmission coefficients can be expressed in terms of two impedances, each depending solely on the properties of the fundamental mode of the respective medium. In order to complement the picture, we apply the present formalism to the quite general problem ofreflection/transmission at a metamaterial film sandwiched between a dissimilar metamaterial. This situation asks for a devoted treatment where multiple modes have to be taken into account.
Type de document :
Article dans une revue
Physical Review B : Condensed matter and materials physics, American Physical Society, 2011, 84, pp.115142. 〈10.1103/PhysRevB.84.115142〉
Liste complète des métadonnées

Littérature citée [37 références]  Voir  Masquer  Télécharger

https://hal-iogs.archives-ouvertes.fr/hal-00681499
Contributeur : Christophe Sauvan <>
Soumis le : mardi 1 décembre 2015 - 16:35:27
Dernière modification le : jeudi 11 janvier 2018 - 06:26:29
Document(s) archivé(s) le : samedi 29 avril 2017 - 00:36:43

Fichier

00681499.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

Citation

Thomas Paul, C. Menzel, Wojciech Śmigaj, C. Rockstuhl, Philippe Lalanne, et al.. Reflection and transmission of light at periodic layered metamaterial films. Physical Review B : Condensed matter and materials physics, American Physical Society, 2011, 84, pp.115142. 〈10.1103/PhysRevB.84.115142〉. 〈hal-00681499〉

Partager

Métriques

Consultations de la notice

193

Téléchargements de fichiers

179