Dynamical Properties of Intensity Fluctuation of Saturation Laser Model Driven by Cross-Correlated Additive and Multiplicative Noises

Conference paper


Dynamical properties of the intensity fluctuation of a saturation laser model driven by cross-correlated 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 correlated function C(s) of the system. By numerical computation, we discussed the effects of the cross-correlated strength λ and the cross-correlated time τ, the quantum noise intensity D, and the pump noise intensity Q for the fluctuation of the laser intensity. Above the threshold, λ weakens the stationary probability distribution, speeds up the startup velocity of the laser system from start status to steady work, and enhances the stability of laser intensity output; however, τ strengthens the stationary probability distribution and decreases the stability of laser intensity output; when λ < 0, τ speeds up the startup; on the contrary, when λ > 0, τ slows down the startup. D and Q make the associated time exhibit extremum structure, that is, the startup time possesses the least values. At the threshold, τ cannot generate the effects for the saturation laser system, λ expedites the startup velocity and enhances the stability of the startup. Below threshold, the effects of λ and τ not only relate to λ and τ, but also relate to other parameters of the system.


Coupling Strength Laser Intensity Multiplicative Noise Bistable System Nonlinear Stochastic System 
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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of PhysicsSimao Teacher’s CollegePuerPeoples’s Republic of China

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