Multiphase patterns in self-phase-locked optical parametric oscillators |
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Authors: | S. Longhi |
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Affiliation: | (1) Istituto Nazionale di Fisica per la Materia, Dipartimento di Fisica and CEQSE-CNR, Politecnico di Milano, piazza L. da Vinci 32, 20133 Milano, Italy, IT |
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Abstract: | Multiphase patterns are found in a mean-field model of a singly-resonant optical parametric oscillator that converts a pump field at frequency 3ω into signal and idler fields at frequencies 2ω and ω. A complex Ginzburg-Landau equation without diffusion and with a quadratic phase-sensitive nonlinear term is derived under single-longitudinal and paraxial propagation approximations. Owing to the phase-matched multistep parametric process ω + ω = 2ω, phase locking of the resonated signal field is possible with three distinct phase states. Three-armed rotating spirals, target patterns and light filamentation are found by a numerical analysis of the mean-field equation. Received 19 April 2001 and Received in final form 21 June 2001 |
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Keywords: | PACS. 42.65.Sf Dynamics of nonlinear optical systems optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics – 42.65.Ky Harmonic generation, frequency conversion – 05.45.-a Nonlinear dynamics and nonlinear dynamical systems – 05.45.Xt Synchronization coupled oscillators |
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