Abstract
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 single-mode dye laser. We analyze and compare the time-evolution character of time-dependent moments of laser intensity for three models. The intensity correlation functions and correlation time for the colored saturation loss-noise model are derived and compared to the corresponding quantities for colored gain-noise and colored loss-noise models. We show that, due to saturation effects in the considered laser model, the effect of which the correlation time of the noise hides the differences between the intensity correlation functions of the models is weakened. It can be seen from the evolution curves of the intensity correlation time versus the pump parameter that the dye laser exists critical slowing-down.
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