Extending the phase mismatch formalism for silicon-based wavelength converters

Publication date 2012
B-Phot Authors Nathalie Vermeulen, Hugo Thienpont
DOI 10.1117/12.921851
Y. Lefevre, N. Vermeulen, C. Debaes, and H. Thienpont, “Extending the phase mismatch formalism for silicon-based wavelength converters,” presented at the Proc. SPIE, Photonics Europe 2012, 2012, vol. 8434, p. 84340A.
Abstract 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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