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Proceedings Paper

On the dispersion relation in metamaterials: an analytic approach
Author(s): Jörg Petschulat; Arkadi Chipouline; Thomas Pertsch; Christoph Menzel; Carsten Rockstuhl; Falk Lederer; Andreas Tünnermann
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Paper Abstract

An analytical description for plane wave propagation in metamaterials (MM) is presented. It follows the usual approach for describing light propagation in homogenous media on the basis of Maxwell's equations, though applied to a medium composed of metallic nanostructures. Here, as an example, these nanostructures are double (or cut) wires. In the present approach the multipole expansion technique is used to account for the electric and magnetic dipole as well as the electric quadrupole moments of the carrier distribution within the nanostructure where a model of coupled oscillators is used for the description of the internal charge density dynamics. It is shown how expressions for the effective permittivity and permeability can be derived from analytical expressions for the dispersion relation, the magnetization and the electric displacement field. Results of the analytical model are compared with rigorous simulations of Maxwell's equations yielding the limitations and applicability of the proposed model.

Paper Details

Date Published: 6 May 2008
PDF: 9 pages
Proc. SPIE 6987, Metamaterials III, 69871T (6 May 2008); doi: 10.1117/12.781047
Show Author Affiliations
Jörg Petschulat, Friedrich Schiller Univ. Jena (Germany)
Arkadi Chipouline, Friedrich Schiller Univ. Jena (Germany)
Thomas Pertsch, Friedrich Schiller Univ. Jena (Germany)
Christoph Menzel, Friedrich Schiller Univ. Jena (Germany)
Carsten Rockstuhl, Friedrich Schiller Univ. Jena (Germany)
Falk Lederer, Friedrich Schiller Univ. Jena (Germany)
Andreas Tünnermann, Friedrich Schiller Univ. Jena (Germany)
Fraunhofer Institute for Applied Optics and Precision Engineering (Germany)

Published in SPIE Proceedings Vol. 6987:
Metamaterials III
Nigel P. Johnson; Ekmel Özbay; Nikolay I. Zheludev; Richard W. Ziolkowski, Editor(s)

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