Frankfurt 2006 – wissenschaftliches Programm
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Q: Quantenoptik und Photonik
Q 35: Poster Photonische Kristalle
Q 35.3: Poster
Dienstag, 14. März 2006, 16:30–18:30, Labsaal
Effective mirror model for disordered quasi-1d photonic crystals — •Meikel Frank1 and Kurt Busch1,2,3 — 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe — 2Institut für Nanotechnologie, Forschungszentrum Karlsruhe in der Helmholtz-Gemeinschaft — 3DFG Forschungszentrum Center for Functional Nanostructures (CFN), Universität Karlsruhe
Based on the S-matrix-method of Lalanne[1] we present a theoretical model describing the propagation and coupling losses in disordered quasi-1d photonic crystals(PCs). This is done by separately studying the in/out-coupling between planar wave guides and semi-infinite PCs. For these systems we create an effective mirror describing the interfaces via reflection, transmission and scattering losses. The model is tested by comparing its predictions with exact numerical calculations of transmission and reflection through ideal finite-sized PCs. Based on that, we extend our study to include the effects of various types of fabrication tolerances. This allows us to investigate how different types of disorder affect the performance of finite-sized PCstructures. Therefore, the study is of particular interest for the development of PC functional elements.
[1] P.Lalanne, J.-P.Hugonin and Q.Cao J.Opt.Soc.Am.A 18 11 2001