title: Parametric light bullets supported by quasi-phase-matched quadratically nonlinear crystals.
abstract: We present a comprehensive analysis of the dynamics of three-dimensional spatiotemporal nonspinning and spinning solitons in quasi-phased-matched (QPM) gratings. By employing an averaging approach based on perturbation theory, we show that the soliton's stability is strongly affected by the QPM-induced third-order nonlinearity (which is always of a mixed type, with opposite signs in front of the corresponding self-phase and cross-phase modulation terms). We study the dependence of the stability of the spatiotemporal soliton (STS) on its energy, spin, the wave-vector mismatch between the fundamental and second harmonics, and the relative strength of the intrinsic quadratic and QPM-induced cubic nonlinearities. In particular, all the spinning solitons are unstable against fragmentation, while zero-spin STS's have their stability regions on the system's parameter space.
authors.affiliation: Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027, USA.
authors.forename: N-C
authors.initials: NC
authors.lastname: Panoiu
authors.forename: R M
authors.initials: RM
authors.lastname: Osgood
authors.forename: B A
authors.initials: BA
authors.lastname: Malomed
authors.forename: F
authors.initials: F
authors.lastname: Lederer
authors.forename: D
authors.initials: D
authors.lastname: Mazilu
authors.forename: D
authors.initials: D
authors.lastname: Mihalache