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HL: Halbleiterphysik

HL 4: Photonische Kristalle

HL 4.8: Vortrag

Montag, 11. März 2002, 12:15–12:30, H15

Solid state theoretical methods for defect computations in Photonic Crystals — •Antonio Garcia-Martin, Daniel Hermann, Kurt Busch, and Peter Wölfle — Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe

Defect structures in Photonic Crystals such as waveguides and micro-cavities represent a basis set for novel functional elements that may eventually form the basis for integrated photonics. To date, the theoretical description of such structures is practically limited to general computational methods such as FDTD or FEM simulations that make little or no use of the information available through the fact that these defect structures are embedded in the highly ordered lattice of a Photonic Crystal.
Based on these consideration, we present a solid state theoretical approach to the problem of computing the optical properties of defect structures such as waveguides and micro-cavities in Photonic Crystals. The approach is based on efficient computations of photonic Wannier functions directly from the Bloch functions, thereby transfering recent advances in electronic structure calculations to photonic bandstructure theory. By construction, Wannier functions correctly incorporate the symmetry properties of the underlying Photonic Crystal and, as a consequence, represent a set of localized basis functions that is well-suited to the description of defect structures in them.
As an application of this technique, we present computational results for mode structures of waveguides and micro-cavities in two-dimensional Photonic Crystals as well as time-domain calculations for pulse propagation through these structures.