STATISTICAL PROPERTIES OF INTENSITY FLUCTUATION OF SATURATION LASER MODEL DRIVEN BY CROSS-CORRELATED ADDITIVE AND MULTIPLICATIVE NOISES

Statistical properties of the intensity fluctuation of a saturation laser model driven by cross-correlation additive and multiplicative noises are investigated. Using the Novikov theorem and the projection operator method, we obtain the analytic expressions of the stationary probability distribution P-st(I), the relaxation time T-c, and the normalized variance lambda(2)(0) of the system. By numerical computation, we discussed the effects of the cross-correlation strength lambda, the cross-correlation time tau, the quantum noise intensity D, and the pump noise intensity Q for the fluctuation of the laser intensity. Above the threshold, lambda weakens the stationary probability distribution, speeds up the startup velocity of the laser system from start status to steady work, and attenuates the stability of laser intensity output; however, tau strengthens the stationary probability distribution and strengths the stability of laser intensity output; when lambda < 0, tau speeds up the startup; on the contrast, when lambda > 0, tau slows down the startup. D and Q make the relaxation time exhibit extremum structure, that is, the startup time possesses the least values. At the threshold, tau cannot generate the effects for the saturation laser system, lambda expedites the startup velocity and weakens the stability of laser intensity output. Below threshold, the effects of lambda and tau not only relate to lambda and tau, but also relate to other parameters of the system.