The intensity correlation time T is studied by employing a gain-noise model of a single-mode laser driven by coloured pump noise τ1 and coloured quantum noise τ2 with coloured cross-correlation τ3 with a bias signal modulation. By using the linear approximation method, we detect that a maximum (i.e. resonance) exists in the curves of the intensity correlation time T versus the noise intensities D and Q when the noise correlation coefficient λ is positive; and a minimum (i.e. suppression) exists in the T−D and T−Q curves when λ is negative. When λ is zero, T increases monotonously with increase of D and decreases monotonically with increase of Q. Furthermore, the curve of T versus the pump noise self-correlation time τ1 is also studied. Our study shows that, no matter what the value of λ is, there exist one maximum and one minimum in the T−τ1 curve.
The intensity correlation time T is studied by employing a gain-noise model of a single-mode laser driven by coloured pump noise τ1 and coloured quantum noise τ2 with coloured cross-correlation τ3 with a bias signal modulation. By using the linear approximation method, we detect that a maximum (i.e. resonance) exists in the curves of the intensity correlation time T versus the noise intensities D and Q when the noise correlation coefficient λ is positive; and a minimum (i.e. suppression) exists in the T−D and T−Q curves when λ is negative. When λ is zero, T increases monotonously with increase of D and decreases monotonically with increase of Q. Furthermore, the curve of T versus the pump noise self-correlation time τ1 is also studied. Our study shows that, no matter what the value of λ is, there exist one maximum and one minimum in the T−τ1 curve.
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 τ1. Furthermore, when τ1≤τ2, the intensity correlation time T increases monotonically with the increase of D and decreases monotonically with the increase of Q, but when τ1>τ2, the intensity correlation time T increases monotonically with the increase of Q and decreases monotonically with the increase of D.
The effect on intensity correlation time T by input signal is studied for gain-noise model of a single-mode laser driven by colored pump noise and colored quantum noise with colored cross-correlation with a bias signal modulation in this paper. By using the linear approximation method, we detect that there exists maximum (i.e., resonance) in the curve of the intensity correlation time T upon bias current i 0 when the noise correlation coefficient λ is positive; and there exists minimum (i.e., suppression) in the T - i 0 curve when λ is negative. And when λ is zero, T increases monotonously with increasing i 0 . Furthermore, the curve of T upon the signal frequency Ω is also studied. Our study shows that no matter what the value of λ is, there exists minimum (i.e., suppression) in the T -Ω curve.
The intensity correlation time T is studied for gain-noise model of a single-mode laser driven by colored pump noise and colored quantum noise with colored cross-correlation. By using the linear approximation method, we detect that there exist maximum (i.e. resonance) in the T-D and T-I0 curves when the noise correlation coefficien λ is positive; and there exist minimum (i.e. suppression) in the T-D curves and exist one minimum and one maximum in the T-I0 curves when λ is negative. When λ is zero, The intensity correlation time T increases monotonously with the increasing of the quantum noise intensity D and steady-state intensity I0. However, no matter what the value λ is, the intensity correlation time T decreases monotonously with the increasing of the periodic signal amplitude A and the attenuation coefficient γ. Furthermore, we analyze the effect of signal frequency Ω. and the cross-correlation time T3 on the intensity correlation time T, find that has little effect on the T-D, T-I0, T-A and T-γ curves, and T3 has great effects on the T-D, T-I0 and T-A curves but has little effect on the T-γ curves.
The varieties of intensity correlation time T with input signal are studied for gain-noise model of a single-mode laser driven by colored pump noise and colored quantum noise with colored cross-correlation with a bias signal modulation in this paper. By using the linear approximation method, it is found that a minimum (i.e. suppression) in the curves of the intensity correlation time T versus the bias current i0exists when the noise correlation coefficient λ is negative; and the intensity correlation time T increases monotonously with the increase of i0when λ≥0. In addition, we also analyze the curve of T versus the signal frequency Ω, find that no matter what the value of λ is, a minimum (i.e. suppression) in the T-Ω curves always exists.
Using the linear approximation, we have studied the time evolution of intensity correlation function C ( t ) in a single-mode laser driven by both the coloured pump noise with signal modulation and the quantum noise with cross-correlation between its real and imaginary parts. In the case of the pump noise with self-correlation time τ<<1, we find that the time evolution of C ( t ) varies with modulation signal frequency Ω , amplitude B and net gain a 0 . (i) As Ω increases, the time evolution of C ( t ) changes from monotonically descending to flat descending and finally to damply oscillating; (ii) as B increases, it changes from monotonically descending to maximal; (iii) as net gain a 0 increases, it changes repeatedly from monotonically descending to monotonically ascending and to maximal, finally to monotonically descending again. However, in the case of τ>>1, the time evolution of C ( t ) only exhibits a form of damping oscillation.
By using the linear approximation method, the intensity correlation function and the intensity correlation time are calculated in a gain-noise model of a single-mode laser driven by colored cross-correlated pump noise and quantum noise, each of which is colored. We detect that, when the cross-correlation between both noises is negative, the behavior of the intensity correlation function C(t) versus time t, in addition to decreasing monotonously, also exhibits several other cases, such as one maximum, one minimum, and two extrema (one maximum and one minimum), i.e., some parameters of the noises can greatly change the dependence of the intensity correlation function upon time. T3.