Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities.
We show that the quadratic interaction of fundamental and second harmonics in a bulk dispersive medium, combined with self-defocusing cubic nonlinearity, gives 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 if their energy exceeds a certain critical value, so that the stability domain occupies about 10% of the existence region of the solitons. On the contrary to spatial vortex solitons in the same model, the spatiotemporal ones with s=2 are never stable. These results might open the way for experimental observation of spinning three-dimensional solitons in optical media.
Mihalache
D
D
Department of Theoretical Physics, Institute of Atomic Physics, P.O. Box MG-6, Bucharest, Romania.
Mazilu
D
D
Crasovan
L-C
LC
Towers
I
I
Malomed
B A
BA
Buryak
A V
AV
Torner
L
L
Lederer
F
F