Sharp bends in photonic crystal waveguides as nonlinear Fano resonators
Materials Science
2009-11-11 v1 Soft Condensed Matter
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.
Cite
@article{arxiv.cond-mat/0503100,
title = {Sharp bends in photonic crystal waveguides as nonlinear Fano resonators},
author = {Andrey E. Miroshnichenko and Yuri S. Kivshar},
journal= {arXiv preprint arXiv:cond-mat/0503100},
year = {2009}
}
Comments
8 pages, 5 figures, submitted to Optics Express