Over the past few years B-PHOT researchers Yannick Lefevre, Nathalie Vermeulen, and Hugo Thienpont have been investigating, in collaboration with John E. Sipe from the University of Toronto, how to properly model slow-light propagation in silicon photonic crystal structures. More specifically they have explored the limitations of the first-order nonlinear Schrödinger equation for describing slow-light enhanced optical nonlinearities in photonic crystal structures. They found that second-order terms that are not taken into account in this equation can already become significant at optical powers as small as 100 mW in silicon-based slow-light photonic crystal waveguides. Additionally, they showed that the significance of the second-order terms is closely related with the second-order dispersion parameter of the structures considered. In 2014 these results yielded a publication titled "On the limitations of the first-order nonlinear Schrödinger equation in slow-light photonic crystal structures" in the Journal of the Optical Society of America B (JOSA B). Recently this publication was enlisted as one of the most frequently downloaded JOSA B articles on integrated optics in 2014.
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