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

, : Stable three-dimensional optical solitons supported by competing quadratic and self-focusing cubic nonlinearities. Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics 74(4 Pt 2): 047601-047601

We show that the quadratic (chi(2)) interaction of fundamental and second harmonics in a bulk dispersive medium, combined with self-focusing cubic (chi(3)) nonlinearity, give rise to stable three-dimensional spatiotemporal solitons (STSs), despite the possibility of the supercritical collapse, induced by the chi(3) nonlinearity. At exact phase matching (beta = 0) , the STSs are stable for energies from zero up to a certain maximum value, while for beta not equal 0 the solitons are stable in energy intervals between finite limits.


PMID: 17155219

DOI: 10.1103/PhysRevE.74.047601

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