Dresden 2006 – scientific programme
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HL: Halbleiterphysik
HL 50: Poster II
HL 50.70: Poster
Thursday, March 30, 2006, 16:30–19:00, P3
Calculation of optical mode energies and field distributions in micron-sized semiconductor ring resonators — •Ch. Strelow, T. Kipp, and D. Heitmann — Institut für Angewandte Physik und Zentrum für Mikrostrukturforschung, Universität Hamburg, Germany
We calculate the mode structure and field distributions of micrometer-sized semiconductor ring resonators with very thin walls and compare it to experimental spectra.
Using polar coordinates and a radial stepwise arrangement of refractive index we get an exact solution of Maxwell’s equation by matching Bessel functions at the boundaries. The mode energies and their field distributions sensitively depend on the thickness of the wall, its refractive index and radius. We compare these exact results to a simplified model of a planar dielectric wave guide applying periodic boundary conditions. The theoretical results show a very good agreement to experiments on a novel kind of microcavity, namely a InGaAs/GaAs microtube ring resonator, which we prepared using the self-rolling mechanism of strained bilayers. We acknowledge financial support by the Deutsche Forschungsgemeinschaft via SFB 508.