Dynamic Correlations in Optical Systems with Parametric Noise

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 = z-1 exp (-|t-t'|/z). We present here a calculation of the short time behavior of the normalized steady state correlation function λ   s   =   < I   s   I   o > s t − < I > st 2   /   < I > st 2