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We derive a new unidirectional evolution equation for photonic nanowires madeof silica. Contrary to previous approaches, our formulation simultaneouslytakes into account both the vector nature of the electromagnetic field and thefull variations of the effective modal profiles with wavelength. This leads tothe discovery of new, previously unexplored nonlinear effects which have thepotential to affect soliton propagation considerably. We specialize ourtheoretical considerations to the case of perfectly circular silica strands inair, and we support our analysis with detailed numerical simulations.

An accurate envelope equation for light propagation in photonic nanowires: new nonlinear effects