Stochastic Resonance in Linear Regime of a Single-Mode Laser

We present an analytic investigation of the signal-to-noise ratio by studying the linear model of a single-mode laser driven by colored pump noise (τ₁) and colored quantum noise (τ₂) with colored 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.