Chaos in optical phase conjugation

M.R. Belic ^1, W.Krolikowski^2 and P.Stojkov^1

^1) Institute of Physics, PO Box 57, 11001 Belgrade, Yugoslavia
^2) Electro-Optics Technology Center, Tufts University, Medford Mass 02155, U.S.A.

Nonlinear World , p. 387-398

World Scientific

IV International Workshop on Nonlinear and Turbulent Processes in Physics

9-22 October 1989. Kiev, USSR


We have investigated instabilities in optical phase conjugation arising in different geometrical arrangements, and driven by different control parameters. First a single photorefractive crystal has been cosidered, with the conjugation achieved through a single region four wave mixing. It is shown (by numerical integration of slowly varying envelope equations) that the phase conjugate output becomes chaotic when the system operates above the selfoscillation threshold, and is driven by the input signal. Second, a resonator configuration has been considered, with a thin Kerr-type phase conjugator operating in the Raman-Nath approximation. In this case wave and medium propagation equations are reduced to two dimensional iterative multimodal map, wich is driven to chaos by increasing the pump beam intensity. In both cases predominantly Feigenbaum and intermittency chaotic scenarios have been observed.