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

Year: 1992

Authors: Trillo S., Wabnitz S., Chisari R., Cappellini G.

Autors Affiliation: Fondazione Ugo Bordoni, Via B. Castiglione 59, Rome, 00142, Italy; Dipartimento di Fisica, Università degli Studi di Roma, Piazza A. Moro 3, Rome, 00185, Italy

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.

Journal/Review: OPTICS LETTERS

Volume: 17 (9)      Pages from: 637  to: 639

KeyWords: Bifurcation (mathematics); Mixing; Nonlinear optics; Nonlinear systems; Optical frequency conversion, Eigen modes; Frequency division; Nonlinear frequency conversion; Phase dependence; Quadratic nonlinear medium; Qualitative dynamics; Spatial chaos; Two wave mixing, Harmonic generation
DOI: 10.1364/OL.17.000637

Citations: 56
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