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Engineering nonlinearities in nanoscale optical systems: Physics and applications in dispersion-engineered silicon nanophotonic wires

The paper outlines the most important theoretical models pertaining to optical pulse propagation in sub-wavelength optical interconnects made of silicon. These models represent the state-of-the-art of the discipline as they are currently used by the silicon photonics community to study a broad range of photonic devices, including optical modulators, broadband sources and optical switches, and nonlinear optical effects pertaining to pulse propagation in deep sub-wavelength high-index contrast waveguiding devices, including self- and cross-phase modulation, super-continuum generation, modulation instability, pulse self-steepening, carrier-induced optical switching and four-wave mixing. Research is the result of an international collaboration with Columbia University and IBM.