Dresden 2009 – scientific programme
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HL: Fachverband Halbleiterphysik
HL 51: Photonic crystals II
HL 51.2: Talk
Friday, March 27, 2009, 10:30–10:45, BEY 154
Efficient Calculation of the Optical Properties of Stacked Metamaterials in a Fourier Modal Approach — •Thomas Weiss1,2, Nikolay Gippius2,3, Sergei Tikhodeev3, and Harald Giessen1 — 14th Physics Institute, Stuttgart, Germany — 2LASMEA, Clermont-Ferrand, France — 3General Physics Institute, Moscow, Russia
Metallic photonic crystals and metamaterials provide features such as band gaps, negative refractive indices, chirality, and polarization effects that can lead to a number of applications. Nowadays, the theoretical description of these structures is based on simple models as well as numerical methods such as FDTD (finite difference time domain) and FMM (Fourier-modal method).
We are going to present efficient techniques such as adaptive spatial resolution [1] and factorization rules [2] to overcome the restrictions in a Fourier-modal S-matrix (scattering matrix) approach [3] caused by the jump discontinuities in the permittivity function. Thus, we can calculate the spectra, eigenmodes, and near-field distributions of two- and three-dimensional metallic photonic crystals and metamaterials with a high accuracy. In addition, we will show that the scattering matrix provides an easy way to derive ellipticity and Stokes parameters. This allows us to study the polarization effects of stacked and rotated structures such as split ring resonators.
[1] G. Granet, J. Opt. Soc. Am. A 16, 2510 (1999).
[2] L. Li, J. Opt. Soc. Am. A 13, 1870 (1996).
[3] D. M. Whittaker and I. S. Culshaw, Phys. Rev. B 60, 2610 (1999).