Berlin 2008 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 6: Photonic crystals I
HL 6.7: Vortrag
Montag, 25. Februar 2008, 11:00–11:15, EW 201
implementation of adaptive spatial resolution in the scattering matrix approach: towards improvement of convergence for two dimensional photonic crystal slabs — •Thomas Weiss1, Sergei Tikhodeev2, and Harald Giessen1 — 14. Physikalisches Institut, Universität Stuttgart, Germany — 2General Physics Institute, Moscow, Russia
Many attempts have been made to improve the convergence of Fourier modal methods to calculate the optical properties of slabs of 2D-periodic metallic photonic crystals and metamaterials. A key reason for the bad convergence is the discontinuity of the permittivity in patterned structures which results in fictitious localized plasmons on the distortions of the truncated Fourier transformed permittivity.
In numerical simulations with Fourier modal methods we have to truncate the Fourier expansions. If the truncation order is too small then additional resonance-artefacts may occur. Hence it is important to take a sufficient number of modes into account. However, especially for 2D structures we are limited by the operations and memory of computers. Therefore, an adaptive spatial resolution was suggested in order to increase the resolution at the transition between different materials. Hence, higher order modes will be included even if the truncation order is small.
We implemented such a coordinate transformation in the scattering matrix approach (up to now for one-dimensionaly-periodic structures) and are going to present results demonstrating improvement of convergence as well as analytical investigation of the scheme.