We find families of vortex solitary waves in bulk quadratic nonlinear media under conditions for second-harmonic generation. We show that the vortex solitary waves are azimuthally unstable and that they decay into sets of stable spatial solitons. We calculate the growth rates of the azimuthal perturbations and show how those affect the pattern of output light.
© 1998 Optical Society of America
Juan P. Torres, J. M. Soto-Crespo, Lluis Torner, and Dmitri V. Petrov, "Solitary-wave vortices in quadratic nonlinear media," J. Opt. Soc. Am. B 15, 625-627 (1998)