Extending the phase mismatch formalism for silicon-based wavelength converters

We present a generic approach to determine the phase mismatch for any optical nonlinear process. When applying this approach, which is based on the evaluation of local phase changes, to Raman-and Kerr-based four-wave-mixing in silicon waveguides, we obtain a novel expression for the phase mismatch which is more accurate as compared to the conventional definition; and which contains additional contributions due to the dispersion of the four-wave-mixing processes, the so-called four-wave-mixing dispersion. By means of numerical simulations, we show that this additional dispersion has a significant impact on the evolution of the phase mismatch along the waveguide, and thus on the conversion efficiency.

ISBN:978-0-8194-9126-8

Publication year:2012

Keywords:STIMULATED RAMAN-SCATTERING; WIRE WAVE-GUIDES, OPTICAL FIBERS; FREQUENCY-CONVERSION;, NANOWAVEGUIDES; RESONANCE