Nonlinear photonic crystals near the supercollimation point
Optics
2009-11-13 v1 Pattern Formation and Solitons
Abstract
We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show this is modeled by a nonlinear diffraction term in a nonlinear schroedinger type equation, in which the properties of solitons are investigated. Linear stability analysis shows solitons are stable in an existence domain that obeys the Vakhitov-Kolokolov criterium. In addition, we investigate the influence of the nonlinear diffraction on soliton collision scenarios.
Cite
@article{arxiv.0807.4787,
title = {Nonlinear photonic crystals near the supercollimation point},
author = {Zhiyong Xu and Bjorn Maes and Xunya Jiang and John D. Joannopoulos and Lluis Torner and Marin Soljacic},
journal= {arXiv preprint arXiv:0807.4787},
year = {2009}
}
Comments
16 pages, 3 figures, being published in Optics Letters