Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

Abstract

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.

arXiv comment8 pages, 5 figures, submitted to Optics Express

References in corpus (3)

• Nonlinear transmission and light localization in photonic crystal waveguides
• Nonlinear Fano resonance and bistable wave transmission
• Long-range interaction and nonlinear localized modes in photonic crystal waveguides

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• Fano resonance in two-dimensional optical waveguide arrays with a bi-modal defect