THE TIME-DEPENDENT MOMENTS AND CORRELATION-FUNCTIONS OF THE INTENSITYOF A SINGLE-MODE DYE-LASER

By combining linear approximation with Novikov theorem we derive first the time-dependent moments of laser intensity for colored saturation loss-noise, colored gain-noise and colored loss-noise models of a sing le-mode dye laser. We analyze and compare the time-evolution character of time-dependent moments of laser intensity for three models. The in tensity correlation functions and correlation time for the colored sat uration loss-noise model are derived and compared to the corresponding quantities for colored gain-noise and colored loss-noise models. We s how that, due to saturation effects in the considered laser model, the effect of which the correlation time of the noise hides the differenc es between the intensity correlation functions of the models is weaken ed. It can be seen from the evolution curves of the intensity correlat ion time versus the pump parameter that the dye laser exists critical slowing-down.