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

Abstract

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.

6 pages, 4 figures; submitted to Optics Express

References in corpus (2)

• Optical performance monitoring at 640Gb/s via slow-light in a silicon nanowire
• Non-trivial scaling of self-phase modulation and three-photon absorption in III-V photonic crystal waveguides

Cited by in corpus (4)

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• Degenerate four-wave mixing in triply-resonant Kerr cavities
• Theory of Pulsed Four-Wave-Mixing in One-dimensional Silicon Photonic Crystal Slab Waveguides
• Slow-light enhanced frequency combs and dissipative Kerr solitons in silicon coupled-ring microresonators in the telecom band