Surface modes and breathers in finite arrays of nonlinear waveguides

Abstract

We present the complete set of symmetric and antisymmetric (edge and corner) surface modes in finite one-- and two--dimensional arrays of waveguides. We provide classification of the modes based on the anti-continuum limit, study their stability and bifurcations, and discuss relation between surface and bulk modes. We put forward existence of surface breathers, which represent two-frequency modes localized about the array edges.

Accepted for publication in Physical Review E

References in corpus (2)

• Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays
• Generation of surface soliton arrays

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