Decay of the Intensity Correlation Function for Dye Lasers with White Gain Noise

We consider a single-mode dye laser model incorporating pump white noise through gain-parameter fluctuations. The relaxation function C(t) is analyzed with the use of a method based on the combination of the low and high frequency expansions of the Laplace transform of C(t). The correlation function is approximated by a superposition of two decaying exponentials. It is found that the intensity correlation function does not show two separated time scales as observed experimentally.