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Proceedings Paper

Analytical modelling of linear and nonlinear properties of metamaterials based on multipole expansion
Author(s): J. Petschulat; A. Chipouline; E. Pshenay-Severin; A. Tünnermann; T. Pertsch; C. Menzel; C. Rockstuhl; T. Paul; F. Lederer
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Paper Abstract

A simple analytical model has been developed within the scopes of the macroscopic Maxwell's equations. In the framework of this model the dispersion relation for plane waves has been calculated for the case of Cut-Wire (CW) and Split Ring Resonator (SRR) geometries. The dispersion relation has been compared with rigorous numerical calculations. A possible way to introduce the electric and magnetic material parameters has been suggested. Validity criteria and applicability limitations of the developed model are discussed. A new type of nonlinearity specific for the metamaterials - Multipole Nonlinearity - is identified based on the developed model, wheras the second harmonic generation (SHG) process is considered in detail

Paper Details

Date Published: 12 May 2009
PDF: 13 pages
Proc. SPIE 7353, Metamaterials IV, 73530D (12 May 2009); doi: 10.1117/12.821859
Show Author Affiliations
J. Petschulat, Friedrich-Schiller-Univ. Jena (Germany)
A. Chipouline, Friedrich-Schiller-Univ. Jena (Germany)
E. Pshenay-Severin, Friedrich-Schiller-Univ. Jena (Germany)
A. Tünnermann, Friedrich-Schiller-Univ. Jena (Germany)
Fraunhofer Institute for Applied Optics and Precision Engineering (Germany)
T. Pertsch, Friedrich-Schiller-Univ. Jena (Germany)
C. Menzel, Friedrich-Schiller-Univ. Jena (Germany)
C. Rockstuhl, Friedrich-Schiller-Univ. Jena (Germany)
T. Paul, Friedrich-Schiller-Univ. Jena (Germany)
F. Lederer, Friedrich-Schiller-Univ. Jena (Germany)


Published in SPIE Proceedings Vol. 7353:
Metamaterials IV
Vladimir Kuzmiak; Peter Markos; Tomasz Szoplik, Editor(s)

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