Parametric light bullets supported by quasi-phase-matched quadratically nonlinear crystals

N. C. Panoiu*, R. M. Osgood, B. A. Malomed, F. Lederer, D. Mazilu, D. Mihalache

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Article number036615
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number3
DOIs
StatePublished - Mar 2005

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