Regensburg 2010 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

MM: Fachverband Metall- und Materialphysik

MM 23: Quasicrystals

MM 23.2: Vortrag

Dienstag, 23. März 2010, 12:00–12:15, H5

Transmission of Light in Dielectric Multilayers based on Metallic Means Sequences — •Stefanie Thiem^1,2, Michael Schreiber¹, and Uwe Grimm² — ¹Institut für Physik, Technische Universität Chemnitz, 09107 Chemnitz, Germany — ²Department of Mathematics and Statistics, The Open University, Milton Keynes MK7 6AA, United Kingdom

The light propagation through a quasiperiodic stack of layers with different indices of diffraction is studied using the transfer matrix method. The layers are aligned according to metallic means sequences depending on a parameter m with an inflation rule P = {B → A, A → ABA^m−1} denoting the indices of diffraction n_A and n_B, respectively. We focus on the dependence of the light transmission on the underlying construction rule and obtain that additional transmission bands occur for frequencies corresponding to the photonic band gap of the periodic system. Further, we obtain almost complete transmission for the quasiperiodic systems for a wide range of ratios of diffractive indices n_A/n_B in contrast to systems with periodically stacked layers. In addition, our numerical results indicate that the transmission coefficient becomes either 1 or 0 for very large systems while usually for smaller approximants of the quasiperiodic systems also intermediate values of the transmission coefficient T occur. This corresponds to either complete reflection or transmission of the light for an infinite stack.