Stability Analysis and Temporal Behavior of Four-Wave Mixing in Photorefractive Crystals.

摘要

Photorefractive crystals provide a convenient mechanism for studying nonlinear dynamic effects such as bistability and progression to chaos. For example, there have been several reports of optical bistability and chaotic behavior in phase-conjugate mirrors without externally pumped phase-conjugate mirrors without external feedback. In this paper we will be concerned with the possibility of the existence of such effects in the more fundamental case of externally pumped phase-conjugate mirrors without external feedback. The stability of the steady-state solutions of four-wave mixing in photorefractive crystals has been studied. Two complementary methods have been used: linear stability analysis and time integration of the nonlinear equations. A critical dependence of the stability on the phase of the perturbation has been revealed. The existence of two stable solutions for certain values of some parameters has been found. Also, regimes of unstable behavior in cases with a unique steady-state solution for large values of the pump ratio have been found. Reprints. (aw)