Long-range interaction and nonlinear localized modes in photonic crystal waveguides

Details Long-range interaction and nonlinear localized modes in photonic crystal waveguides Long-range interaction and nonlinear localized modes in photonic crystal waveguides

2000-02-29

arxiv.org/abs/cond-mat/0002443v1

Phys. Rev. E 62, 5777-5782 (2000).

Physics

Condensed Matter

6 pages (RevTeX) with 9 figures (EPS)

Scientific paper

10.1103/PhysRevE.62.5777

We develop the theory of nonlinear localised modes (intrinsic localised modes or discrete breathers) in two-dimensional (2D) photonic crystal waveguides. We consider different geometries of the waveguides created by an array of nonlinear dielectric rods in an otherwise perfect linear 2D photonic crystal, and demonstrate that the effective interaction in such waveguides is nonlocal, being described by a new type of nonlinear lattice models with long-range coupling and nonlocal nonlinearity. We reveal the existence of different types of nonlinear guided modes which are also localised in the waveguide direction, and describe their unique properties including bistability.

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