We introduce a novel class of parametric optical solitons supported simultaneously by two second-order nonlinear cascading processes, second-harmonic generation and sum-frequency mixing. We obtain analytical and numerical solutions for three-wave spatial solitons and show that the presence of an additional cascading mechanism can change dramatically the properties and stability of two-wave quadratic solitary waves.
© 1999 Optical Society of America
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4970) Nonlinear optics : Parametric oscillators and amplifiers
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(190.7070) Nonlinear optics : Two-wave mixing
Yuri S. Kivshar, Tristram J. Alexander, and Solomon Saltiel, "Spatial optical solitons resulting from multistep cascading," Opt. Lett. 24, 759-761 (1999)