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Two-wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos

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Abstract

We present the qualitative dynamics of parametric mixing of two waves in a quadratic nonlinear medium by introducing a reduced phase-plane description. We find the nonlinear frequency-conversion eigenmodes and their bifurcations and instabilities. We discuss applications of this description to the phase dependence of seeded second-harmonic generation, frequency division, and spatial chaos in a medium with periodic mismatch.

© 1992 Optical Society of America

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