Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays

Details Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays

2006-02-26

arxiv.org/abs/nlin/0602056v1

Nonlinear Sciences

Pattern Formation and Solitons

4 double-column pages, 5 figures, submitted to Optics Letters

Scientific paper

10.1364/OL.31.001693

We discuss the formation of self-trapped localized states near the edge of a
semi-infinite array of nonlinear waveguides. We study a crossover from
nonlinear surface states to discrete solitons by analyzing the families of odd
and even modes centered at different distances from the surface, and reveal the
physical mechanism of the nonlinearity-induced stabilization of surface modes.

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