Regensburg 2004 – scientific programme

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HL: Halbleiterphysik

HL 6: Photonische Kristalle I

HL 6.2: Talk

Monday, March 8, 2004, 13:00–13:15, H15

Strongly localized discrete solitons in photonic crystal defect chains — •Rumen Iliew, Christoph Etrich, Ulf Peschel, and Falk Lederer — Inst. für Festkörpertheorie und Theoretische Optik, Friedrich-Schiller-Univ. Jena, Max-Wien-Platz 1, 07743 Jena

We found strongly localized solitons in a linear chain of coupled point defects embedded in a Kerr-type nonlinear photonic crystal.

The dynamics of such a coupled-resonator optical waveguide (CROW) can be described in tight-binding approximation by a set of coupled modal equations [1] which were shown to allow for strongly localized soliton solutions [2]. To compare these results with the full system, for the first time, to our knowledge, the temporal dynamics of localized excitations is investigated in a two-dimensional (2D) nonlinear photonic crystal by employing 2D TM finite-difference time-domain simulations including Kerr-nonlinearity. Our model system is a 2D hexagonal photonic crystal with a TM photonic band gap in the linear regime where a chain of point-defects was embedded. Depending on the pump parameters we found strongly localized solitons in the nonlinear regime at frequencies below the miniband, as predicted by the tight-binding approach.

We will present results of FDTD simulations and compare them against the results obtained from the modal equations.
[1] D. N. Christodoulides and N. K. Efremidis, Opt. Lett. 27, 568 (2002).
F. Lederer, S. Darmanyan, and A. Kobyakov, Spatial Solitons, Springer Series in Optical Science 82, S. Trillo and W. E. Torruellas (eds.), (Springer-Verlag New York 2001), pp. 269–292.