Stochastic Resonance and Simulation of a Single-mode Laser System with Periodically Modulated Signal

The time evolution of intensity correlation function C(t) in a single-mode laser driven by the coloured pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts is studied by using the linear approximation method. In the case of the pump noise self-correlation time tau << 1, it can be found that: (i) when modulation signal frequency Omega increases, the time evolution of C(t) experiences a changing process, that is, from the monotonous descending to the descending after the appearance of an initial flat, and finally to the periodically surging with descending envelope; (ii) When the net gain a(0) increases, it experiences a repeatedly changing process, that is, from the monotonous descending to monotonous rise, and to the appearance of a maximum, finally to monotonous descending again. However, in the case of tau >> 1, the time evolution of C(t) only exhibits periodically surging with descending envelope.