We investigate temporal stability of stationary solutions for backward degenerate parametric mixing. We show that self-oscillating solutions can be obtained from properly chosen continuous-wave counterpropagating inputs at fundamental and second-harmonic frequencies under general phase-mismatched conditions. The temporal oscillation period near the bifurcation points is predicted by linear stability analysis and verified by numerical simulation of the governing equations.
© 2005 Optical Society of America
(190.1450) Nonlinear optics : Bistability
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4410) Nonlinear optics : Nonlinear optics, parametric processes
(230.4320) Optical devices : Nonlinear optical devices
(230.4910) Optical devices : Oscillators
M. Conforti, A. Locatelli, C. De Angelis, A. Parini, G. Bellanca, and S. Trillo, "Self-pulsing instabilities in backward parametric wave mixing," J. Opt. Soc. Am. B 22, 2178-2184 (2005)