title: 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.
authors.forename: Andrey
authors.initials: A
authors.lastname: Miroshnichenko
authors.forename: Yuri
authors.initials: Y
authors.lastname: Kivshar