title: Curvature instability in passive diffractive resonators.
abstract: We study the stability of localized structures in a passive optical bistable system. We show that there is a critical value of the input field intensity above which localized structures are unstable with respect to a curvature instability. Beyond this instability boundary, a transition from the localized branch of solutions to stable hexagons is found.
authors.affiliation: Optique Nonlinéaire Théorique, Université Libre de Bruxelles, Campus Plaine CP 231, 1050 Bruxelles, Belgium.
authors.forename: M
authors.initials: M
authors.lastname: Tlidi
authors.forename: A G
authors.initials: AG
authors.lastname: Vladimirov
authors.forename: Paul
authors.initials: P
authors.lastname: Mandel