Spatiotemporal chaos and spatial symmetry breaking in a nonlinear optical ring cavity

Joerg Leonardy; Markus Sauer; Friedemann Kaiser

doi:10.1117/12.179644

6 July 1994 Spatiotemporal chaos and spatial symmetry breaking in a nonlinear optical ring cavity

Joerg Leonardy, Markus Sauer, Friedemann Kaiser

Proceedings Volume 2099, Nonlinear Dynamics in Lasers and Optical Systems; (1994) https://doi.org/10.1117/12.179644
Event: Volga Laser Tour '93, 1993, Moscow, Russian Federation

Abstract

We consider a passive optical system consisting of a ring cavity and a homogeneously broadened two-level medium. After a first modulational instability we find several secondary instabilities which lead to a temporally chaotic, spatially homogeneous state and to temporally chaotic states where the spatial symmetry is broken. These spatio-temporal chaotic states are characterized by the decrease of the auto-correlation and the spatial cross- correlation function. In order to analyze the bifurcations in the spatio- temporal chaotic regime we investigate the dynamical behavior of spatially significant quantities. Three states are found which arise from different intermittent transitions. We quantify the observed bifurcations by means of Lyapunov exponents.

Citation Download Citation

Joerg Leonardy, Markus Sauer, and Friedemann Kaiser "Spatiotemporal chaos and spatial symmetry breaking in a nonlinear optical ring cavity", Proc. SPIE 2099, Nonlinear Dynamics in Lasers and Optical Systems, (6 July 1994); https://doi.org/10.1117/12.179644

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