Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities
Abstract
We show that the quadratic interaction of fundamental and second harmonics in a bulk dispersive medium, combined with self-defocusing cubic nonlinearity, give rise to completely localized spatiotemporal solitons (vortex tori) with vorticity s=1. There is no threshold necessary for the existence of these solitons. They are found to be stable against small perturbations if their energy exceeds a certain critical value, so that the stability domain occupies about 10% of the existence region of the solitons. We also demonstrate that the s=1 solitons are stable against very strong perturbations initially added to them. However, on the contrary to spatial vortex solitons in the same model, the spatiotemporal solitons with s=2 are never stable.
Keywords
Cite
@article{arxiv.nlin/0206007,
title = {Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities},
author = {D. Mihalache and D. Mazilu and L. C. Crasovan and I. Towers and B. A. Malomed and A. V. Buryak and L. Torner and F. Lederer},
journal= {arXiv preprint arXiv:nlin/0206007},
year = {2009}
}
Comments
latex text, 10 ps and 2 jpg figures; Physical Review E, in press