Stochastic Resonance in Linear Regime of a Single-Mode Laser

Abstract

We present an analytic investigation of the signal-to-noise ratio by studying the linear model of a single-mode laser driven by coloured pump noise (τ1) and coloured quantum noise (τ2) with coloured cross-correlation (τ3), and obtain an exact analytic expression of the signal-to-noise ratio. We detect that the stochastic resonance occurs when the noise correlation coefficient λ<0. Furthermore, we analyse the effect of τ1,τ2 and τ3 on the signal-to-noise ratio, and derive the condition under which the stochastic resonance occurs.