title: Nonlinear photonic crystals near the supercollimation point.
abstract: We uncover a strong coupling between nonlinearity and diffraction in a photonic crystal at the supercollimation point. We show that this is modeled by a nonlinear diffraction term in a nonlinear-Schrödinger-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.
authors.affiliation: Department of Physics, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA. xzy124@rsphysse.anu.edu.au
authors.forename: Zhiyong
authors.initials: Z
authors.lastname: Xu
authors.forename: Björn
authors.initials: B
authors.lastname: Maes
authors.forename: Xunya
authors.initials: X
authors.lastname: Jiang
authors.forename: John D
authors.initials: JD
authors.lastname: Joannopoulos
authors.forename: Lluis
authors.initials: L
authors.lastname: Torner
authors.forename: Marin
authors.initials: M
authors.lastname: Soljacić