Surface modes and breathers in finite arrays of nonlinear waveguides

Details Surface modes and breathers in finite arrays of nonlinear waveguides Surface modes and breathers in finite arrays of nonlinear waveguides

2007-08-23

arxiv.org/abs/0708.3245v1

PHYSICAL REVIEW E 76, 046604 (2007)

Physics

Condensed Matter

Other Condensed Matter

Accepted for publication in Physical Review E

Scientific paper

10.1103/PhysRevE.76.046604

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.

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