Effects of cross-correlated noises on a single-mode laser model: Steady state analysis

The stationary properties of a single-mode laser with positive and negative correlations between additive and multiplicative white-noise terms are inv estigated. By virtue of a simple rule and decoupling ansatz, the intensity correlation function and correlation time for the laser model are derived. We found that: (1) the fluctuation of light intensity with negative correla tions between the noise terms are reduced in comparison with those for posi tive correlations; (2) the coupling between additive and multiplicative noi ses enhances the rate of decay of intensity correlation; (3) the effects of negative correlations between the noise terms are more remarkable than tho se of positive correlations.