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Self-pulsing instabilities in backward parametric wave mixing

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Abstract

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

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