title: Long distance stability of gap solitons.
abstract: We numerically investigate the stability of one- and two-dimensional gap solitons for very long propagation distances both in self-focusing and in self-defocusing nonlinear photonic media. We demonstrate that the existence of stable solitons in the first gap requires much stronger lattices in a self-focusing than in a self-defocusing medium. Moreover, we present a one-dimensional linear stability analysis of the fundamental solitary mode in the first gap considering a self-focusing photorefractive nonlinearity.
authors.affiliation: Institute of Applied Physics, Darmstadt University of Technology, Hochschulstrasse 4a, D-64289 Darmstadt, Germany.
authors.forename: T
authors.initials: T
authors.lastname: Richter
authors.forename: K
authors.initials: K
authors.lastname: Motzek
authors.forename: F
authors.initials: F
authors.lastname: Kaiser