The relaxation time of a single-mode dye laser system driven by cross-correlated additive and multiplicative noises

The relaxation time T-c of the intensity correlation function is investigated in a single-mode dye laser system driven by cross-correlated additive and multiplicative white noises. The expression for T-c is obtained by using the projector-operator method. And then the effects of correlation intensity between noises lambda and correlation time between noises tau on T-c are studied. Numerical results show that the correlation intensity lambda speeds up the intensity fluctuation decay of laser slightly above threshold in the presence of nonzero tau. Meanwhile, when lambda > 0, tau suppresses the intensity fluctuation of laser. But when lambda > 0, tau enhances the intensity fluctuation of laser. Moreover, the effects of lambda and tau on the intensity fluctuation also depend on the noise intensity ratio R and net gain coefficient a(0). (c) 2005 Elsevier B.V. All rights reserved.