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10 May 2012 Extending the phase mismatch formalism for silicon-based wavelength converters
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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.
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Yannick Lefevre, Nathalie Vermeulen, Christof Debaes, and Hugo Thienpont "Extending the phase mismatch formalism for silicon-based wavelength converters", Proc. SPIE 8434, Nonlinear Optics and Applications VI, 84340A (10 May 2012);

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