Exact Solution for the Influence of Laser Temporal Fluctuations on Resonance Fluorescence

The influence of the laser fluctuations on resonance fluorescence is treated exactly within the framework of multiplicative stochastic processes. For the phase diffusion model of the laser, I find that, in the limit of strong fields, the ratios of the width and height of the central peak to the side peak are, respectively, $\frac{2}{3x}$ and $3x$, where $x=\frac{(\gamma +{\gamma }_c)}{(\gamma +2\mathrm{}{\gamma }_c)}$. The envelope of the intensity correlations is found to decay at the rate $\frac{(3\mathrm{}\gamma +{\gamma }_c)}{2}$.