Two-wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos
S. TrilloFondazione Ugo Bordoni, Via B. Castiglione 59, 00142 Rome, ItalyGiancarlo CappelliniDipartimento di Fisica, Università degli Studi di Roma, Piazza A. Moro 3, 00185 Rome, ItalyS. WabnitzFondazione Ugo Bordoni, Via B. Castiglione 59, 00142 Rome, ItalyR. ChisariFondazione Ugo Bordoni, Via B. Castiglione 59, 00142 Rome, Italy
1992en
ABI
Annotatsiya
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.
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