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

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

2005-09-05

arxiv.org/abs/nlin/0509011v2

Nonlinear Sciences

Pattern Formation and Solitons

Extended version with 6 pages and 4 Figures, to appear in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.72.066608

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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