Berlin 2008 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 27: Photonic crystals III
HL 27.11: Vortrag
Dienstag, 26. Februar 2008, 18:45–19:00, EW 203
On the dispersion relation of light in metamaterials — •Carsten Rockstuhl1, Christoph Menzel1, Thomas Paul1, Thomas Pertsch2, and Falk Lederer1 — 1Institut für Festkörpertheorie- und optik, Friedrich-Schiller-Universität Jena, Max-Wien Platz 1, D-07743, Jena, Deutschland — 2Institut für angewandte Physik, Friedrich-Schiller-Universität Jena, Max-Wien Platz 1, D-07743, Jena, Deutschland
The characterization of metamaterials (MM) is usually restricted to the determination of the effective parameters of a thin film at normal incidence. However, such information is of limited use as firstly, the parameters deduced from a thin film might differ from the bulk and secondly, the effective properties as encountered by a plane wave that propagates at an angle deviating from a crystallographic axis are not elucidated. Here will give an answer on how to obtain information on these properties. At the heart we will analyse the dispersion relation of Bloch periodic eigenmodes in MMs and describe how to deduce an effective refractive index. This index will be compared with an index as retrieved from the reflected and transmitted amplitude of a plane wave at a finite MM slab. The analysis is done as a function of the frequency, the angle of incidence, and the polarization. Although both indices are in excellent agreement, we will argue that such an index ceases to have a meaning as a material but has to be understood as a wave parameter only. Such an index is only of use to describe the light propagation through the MM in a simplified manner. We will quantify properties in MMs such as anisotropy, and spatial and temporal dispersion.