Sharp bends in photonic crystal waveguides as nonlinear Fano resonators

TL;DR

This paper models sharp bends in photonic crystal waveguides as nonlinear Fano resonators, providing analytical solutions for resonant transmission and reflection, and offering insights for designing power-dependent waveguide devices.

Contribution

It introduces a simple Fano resonance model for sharp waveguide bends, deriving exact solutions and enabling better understanding and design of nonlinear photonic devices.

Findings

Exact analytical solutions for resonant transmission and reflection.

Effective discrete equations for waveguide bends.

Insights into power-dependent transmission control.

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.