Regensburg 2002 – scientific programme

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HL: Halbleiterphysik

HL 4: Photonische Kristalle

HL 4.7: Talk

Monday, March 11, 2002, 12:00–12:15, H15

Sum frequency generation in Photonic Crystals — •Lasha Tkeshelashvili, Kurt Busch, and Peter Wölfle — Institut für Theorie der Kondensierten Materie, Universität Karlsruhe, 76128 Karlsruhe

Progress in photonics is closely connected to the development of optical materials with tailor made properties. In the context of nonlinear optical phenomena, Photonic Crystals (PCs) carry this principle to a new level in that the tailoring of the dispersion relation and mode structure allows to explore regimes for parameters such as group velocities, group velocity dispersion and effective nonlinearities which have hitherto been virtually inaccessible. Any succesfull experimental exploration of the huge parameter space provided by PCs has to be accompanied by a quantitative theoretical analysis in order to identify the most interesting cases and to help interpret the data. To date, only a few works along these lines has been carried out for either Kerr-nonlinearities or sum-frequency and second harmonic generation.
In this presentation, we will apply the multi-scale analysis to the case of sum-frequency generation in two-dimensional PCs and discuss some of the most interesting results. In particular, we show how the PC allows to access experimentally a parameter range that has been considered theoretically by Zakharov. For instance, as there are no stable soliton solutions in two dimensions, a two-dimensional PC would allow the complete radiation conversion from one wavelength to another through nonlinear interactions. This may have important applications, for instance, for wavelength shifters in telecommunication technology.