https://doi.org/10.1007/s100530170037
Multiphase patterns in self-phase-locked optical parametric oscillators
Istituto Nazionale di Fisica per la Materia,
Dipartimento di Fisica and CEQSE-CNR, Politecnico di Milano,
piazza L. da Vinci 32, 20133 Milano, Italy
Corresponding author: a longhi@fisi.polimi.it
Received:
19
April
2001
Revised:
21
June
2001
Published online: 15 October 2001
Multiphase patterns are found in a mean-field model of a singly-resonant
optical parametric oscillator that converts a pump field at frequency 
into signal
and idler fields at frequencies 
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 
,
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.
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
