https://doi.org/10.1140/epjd/e2006-00127-x
Threshold behavior of semi-linear photorefractive oscillator
1
Laboratoire de Physique de l'Université de Bourgogne, UMR CNRS 5027, B.P. 47870, 9 avenue A. Savary, 21078 Dijon, France
2
Institute of Automation and Electrometry, Russian Academy of Sciences, 630090 Novosibirsk, Russia
3
Forschunginstitute für mineralische and metallische Werkstoffe, Edelsteine/Edelmetalle GmbH, Struhtstrasse 2, Wackenmühle, 55743 Idar-Oberstein, Germany
4
Institute of Physics, National Academy of Sciences, 252650 Kiev, Ukraine
Corresponding author: a pmathey@u-bourgogne.fr
Received:
23
November
2005
Revised:
14
March
2006
Published online:
13
June
2006
A general analysis of the threshold behavior for the photorefractive semi-linear oscillator is performed within the linear approximation on the basis of the classical wave-coupling model. This analysis shows that the well known particular results on the frequency degenerate oscillation are valid only within a restricted range of the external parameters. The theory specifies the conditions for onset and properties of the frequency non-degenerate oscillations, including the necessary values of the coupling strength, pump intensity ratio, the increments of the instability, and the frequency splits. Important generalizations of the basic model are considered.
PACS: 42.65.Hw – Phase conjugation; photorefractive and Kerr effects / 05.45.-a – Nonlinear dynamics and chaos / 42.65.Pc – Optical bistability, multistability, and switching, including local field effects / 42.65.Sf – Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006
