Surface modes and breathers in finite arrays of nonlinear waveguides
arXiv:0708.3245 · doi:10.1103/PhysRevE.76.046604
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.
arXiv commentAccepted for publication in Physical Review E
References in corpus (6)
- Theory of Nonlinear Matter Waves in Optical Lattices
- Discrete solitons and nonlinear surface modes in semi-infinite waveguide arrays
- On classification of intrinsic localized modes for the Discrete Nonlinear Schrödinger Equation
- Generation of surface soliton arrays
- Discrete surface solitons in two dimensions
- Discrete surface solitons in two-dimensional anisotropic photonic lattices
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