Frankfurt 2006 – scientific programme
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Q: Quantenoptik und Photonik
Q 59: Photonische Kristalle IV
Q 59.2: Talk
Thursday, March 16, 2006, 11:25–11:40, HI
Evolution of pulses in Kerr-nonlinear photonic crystals — •Sabine Essig1, Lasha Tkeshelashvili2,3, and Kurt Busch1,2,3 — 1Institut für Theoretische Festkörperphysik, Universität Karlsruhe — 2Institut für Nanotechnologie, Forschungszentrum Karlsruhe in der Helmholtz-Gemeinschaft — 3DFG Forschungszentrum Center for Functional Nanostructures (CFN), Universität Karlsruhe
One-dimensional photonic crystals with Kerr-nonlinear constituent materials can become transparent for sufficient intense pulses with carrier frequencies in the band gap. In the stationary region, these pulses were numerically discovered by Chen and Mills and are known as gap solitons [1].
We investigate the formation of gap solitons in nonlinear photonic crystals from given initial pulses. The evolution of such pulses are described by the nonlinear coupled mode equations [2], which are non-integrable. In order to obtain insight into the behaviour of pulses in these systems, we extend the variational approach of Anderson for the (integrable) nonlinear Schrödinger equation [3] to the nonlinear coupled mode equations. We compare analytical results with numerical studies of the pulse evolution.
[1] W. Chen and D.L. Mills, Phys.Rev.Lett. 58, 160 (1987)
[2] C.M. de Sterke and J.E. Sipe, in Progress in Optics, vol. XXXIII, p.203, edited by E. Wolf, Elsevier Sience, Amsterdam (1994)
[3] D. Anderson, Phys.Rev.Lett. 27, 3135 (1983)