Original scientific paper

Transition to optical turbulence in phase conjugate resonators

Milivoj R. Belić ; Institute of Physics, P. 0. Box 57, 11001 Belgrade, Yugoslavia and Max-Planck-Institute fur Quantenoptik, D-8046 Garching, Federal Republic of Germany
G. Reiner ; Dornier System GmbH, D-7990 Friedrichshafen, Federal Republic of Germany,
P. Meystre ; Optical Sciences Center, University of Arizona, Tucson, Az 85723, U. S. A.

Abstract

Possible routes to optical turbulent state in a nonlinear phase conjugate resonator are investigated. Nonlinear dynamics of intracavity modes is followed by solving paraxial wave equation inside resonator using fast Fourier transform techniques, and a map relation. One transverse dimension is specifically included, and more than one control parameters are varied in our numerical experiments. It is found that the paths to chaos in this infinitely dimensional dissipative sytem include Feigenbaum period doubling, intermittency, and a Ruelle-Takens-Newhouse scenario. Other interesting phenomena are observed, such as inverse bifurcations, interior crises, and coexisting attractors. We compare and contrast our infinite dimensional optical system with its 2D approximation, treated by symbolic dynamical methods, and with other infinite systems, in particular with low aspect fluid flows, and with the Mackey-Glass and Ikeda time-delay models.

Keywords

Hrčak ID:

331456

URI

https://hrcak.srce.hr/331456

Publication date:

5.12.1988.

Article data in other languages: serbian

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