Nonlinear photonic crystals near the supercollimation point
arXiv:0807.4787 · doi:10.1364/OL.33.001762
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.
16 pages, 3 figures, being published in Optics Letters