Dresden 2009 – wissenschaftliches Programm
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HL: Fachverband Halbleiterphysik
HL 43: Photonic crystals I
HL 43.5: Vortrag
Donnerstag, 26. März 2009, 10:45–11:00, POT 151
3D Vectorial Wannier Functions for the Design of Functional Defect Structures in Photonic Crystals — •Chrisitan Wolff1,2,4, Christopher Kölper1, Patrick Mack1,3, Daniel Hermann1,2, and Kurt Busch1,2,3,4 — 1Institut für theoretische Festkörperphysik, Universität Karlsruhe — 2DFG Forschungszentrum Center for Functional Nanostructures (CFN), Universität Karlsruhe — 3Institut für Nanotechnologie, Forschungszentrum Karlsruhe in der Helmholtz-Gemeinschaft — 4Karlsruhe School of Optics and Photonics (KSOP), Universität Karlsruhe
Photonic circuits formed by defect arrays in photonic crystals are a promising approach for integrated optics applications. However, such systems combine large spatial extents and highly structured, very regular geometries. As a consequence, conventional numerical methods are challenged by excessive resource consumption. In contrast, the Wannier functions of the unperturbed photonic crystal offer an efficient expansion basis which had been verified in the past for 2D systems, in which the decoupling of the polarizations leads to a scalar problem. We report on the generalization of the method towards fully vectorial 3D photonic Wannier functions and their application to defect structures in 3D photonic crystals and photonic crystal slabs.