Matteo Conforti, A. Locatelli, C. Angelis, A. Parini, G. Bellanca, Stefano Trillo
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Self-pulsing instability in backward parametric interactions
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 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.
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