Stability analysis and temporal behavior of four-wave mixing in photorefractive crystals

Abstract

The stability of the steady-state solutions of four-wave mixing in photorefractive crystals has been studied. Twocomplementary 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 twostable solutions for certain values of some parameters has been found. Also, regimes of unstable behavior in caseswith a unique steady-state solution for large values of the pump ratio have been found. Show more