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Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality

Andrea Fratalocchi·Gaetano Assanto
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Abstract

We model discrete spatial solitons in a periodic nonlinear medium encompassing any degree of transverse non locality. Making a convenient reference to a widely used material -nematic liquid crystals-, we derive a new form of the discrete nonlinear Schrodinger equation and find a novel family of discrete solitons. Such self-localized solutions in optical lattices can exist with an arbitrary degree of imprinted chirp and a have breathing character. We verify numerically that both local and non local discrete light propagation and solitons can be observed in liquid crystalline arrays.

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Andrea Fratalocchi, Gaetano Assanto. 2005-11-09. Discrete light localization in one dimensional nonlinear lattices with arbitrary non locality. https://doi.org/10.1103/physreve.72.066608

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