Dynamical Properties of a Single-Mode Laser Driven by Quadratic Pump Noise

We propose a single-mode laser model driven by quadratic pump noise with cross correlation between the real and imaginary parts of the pump noise. The effect of the cross-correlation coefficient λ_p between the real and imaginary parts of the pump noise on dynamical properties is studied by using of the linear approximation. The theoretical expressions of intensity correlation function λ(t), normalized intensity fluctuation λ(0) are calculated. It is found that the most conspicuous effects of λ_p on both the intensity correlation function and the normalized intensity fluctuation appear at λ_p=√0.5, but not at |λ_p|=1.