Theory of Slow Light Enhanced Four-Wave Mixing in Photonic Crystal Waveguides

Details Theory of Slow Light Enhanced Four-Wave Mixing in Photonic Crystal Waveguides Theory of Slow Light Enhanced Four-Wave Mixing in Photonic Crystal Waveguides

2010-06-10

arxiv.org/abs/1006.2040v1

Physics

Optics

6 pages, 4 figures; submitted to Optics Express

Scientific paper

The equations for Four-Wave-Mixing in a Photonic Crystal waveguide are derived accurately. The dispersive nature of slow-light enhancement, the impact of Bloch mode reshaping in the nonlinear overlap integrals and the tensor nature of the third order polarization are therefore taken into account. Numerical calculations reveal substantial differences with simpler models, which increase with decreasing group velocity. We predict that the gain for a 1.3 mm long, unoptimized GaInP waveguide will exceed 10 dB if the pump power exceeds 1 W.

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