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HL: Fachverband Halbleiterphysik

HL 49: Photonic Crystals and Metamaterials

HL 49.3: Vortrag

Mittwoch, 16. März 2011, 10:45–11:00, POT 251

Auxiliary basis functions for the Wannier function based 2D TE photonic crystal circuit design — •Patrick Mack, Christian Wolff, and Kurt Busch — Institut für Theoretische Festkörperphysik (TFP) and DFG-Center for Functional Nanostructures (CFN), Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany

Photonic crystals are periodic dielectric heterostructures exhibiting a band structure for light. Adjusting fabricational parameters offers the possibility to open complete, photonic band gaps prohibiting light propagation regardless of direction. Purposely designed defect structures introduce localized light modes in these forbidden frequency ranges, creating resonator modes, waveguides and functional elements for photonic devices, whose design optimization has to be carried out numerically.

The Wannier function (WF) approach yields a tight-binding like numerical method which expands these localized states in a set of localized basis functions and proved to be particularly efficient for E-polarized (TM) light in the combination with an S-matrix approach. In the H-polarized (TE) case, however, slow convergence limited the applicability of this Ansatz. We propose to use additional auxiliary basis functions, that improve convergence and are capable of modeling 2D TE large scale photonic circuitry (typically air holes in silicon) involving non-etched holes and tunable linear anisotropic media, such as liquid crystals and magneto-optic materials.