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Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities

D. Mihalache·D. Mazilu·L. C. Crasovan·I. Towers·B. A. Malomed·A. V. Buryak·L. Torner·F. Lederer
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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.

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D. Mihalache, D. Mazilu, L. C. Crasovan, I. Towers, B. A. Malomed, A. V. Buryak, L. Torner, F. Lederer. 2002-06-07. Stable three-dimensional spinning optical solitons supported by competing quadratic and cubic nonlinearities. https://doi.org/10.1103/physreve.66.016613

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