Abstract

It has been suggested that anomalous fluctuation phenomena found experimentally in dye lasers⁽¹⁾ can be due to fluctuations of the pump parameter. The schochastic dynamical model proposed is In appropriate units I is the intensity of the laser field and ∝ is the mean value of the pump parameter. The stochastic force ξ (t) models fluctuations of ∝. Away from the immediate vecinity of the instability point, ξ (t) can not be modeled by a white noise. We take for ξ (t) and Ornstein-Uhlenbeck noise with correlation <ξ (t) ξ (t')> = z^-1 exp (-|t-t'|/z). We present here a calculation of the short time behavior of the normalized steady state correlation function $\lambda \left(s\right)=\left(<I\left(s\right)I\left(o\right){>}_{st}-<I{>}_{\text{st}}^2\right)/<I{>}_{\text{st}}^2$

© 1985 Optical Society of America