Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Details Sharp bends in photonic crystal waveguides as nonlinear Fano resonators Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

2005-03-04

arxiv.org/abs/cond-mat/0503100v1

Opt. Express 13, 3969 (2005)

Physics

Condensed Matter

Materials Science

8 pages, 5 figures, submitted to Optics Express

Scientific paper

10.1364/OPEX.13.003969

We demonstrate that high transmission through sharp bends in photonic crystal waveguides can be described by a simple model of the Fano resonance where the waveguide bend plays a role of a specific localized defect. We derive effective discrete equations for two types of the waveguide bends in two-dimensional photonic crystals and obtain exact analytical solutions for the resonant transmission and reflection. This approach allows us to get a deeper insight into the physics of resonant transmission, and it is also useful for the study and design of power-dependent transmission through the waveguide bends with embedded nonlinear defects.

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