Intensity correlation time of a single-mode laser driven by two coloured noises with coloured cross-correlation with direct signal modulation

In this paper, the intensity correlation time T is studied for the gain-noise model of a single-mode laser driven by coloured pump noise and coloured quantum noise with coloured cross-correlation with a direct signal modulation. By using the linear approximation method, it is found that when the pump noise is modulated directly by a signal, the effects of the cross-correlation between the pump noise and the quantum noise will disappear. In addition, there exists a maximum (i.e. resonance) in the curve of the intensity correlation time T versus the pump noise self-correlation time \tau_1. Furthermore, when \tau_1\leq \tau_2, the intensity correlation time T increases monotonically with the increase of D and decreases monotonically with the increase of Q, but when \tau_1>\tau_2, the intensity correlation time T increases monotonically with the increase of Q and decreases monotonically with the increase of D.