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理论物理通讯：英文版

Intensity Correlation Function of a Single-Mode Laser Driven by Two Colored Noises with Colored Cross-Correlation

HANLi-Bo, Cao, Li, Wu -, Da-Jin, Wang, Jun

Published Jan 1, 2004• 1 citation
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Abstract

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.

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Intensity correlation time of a single-mode laser driven by two colored noises with colored cross-correlation with additive signal

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International Journal of Modern Physics B•Apr 20, 2005•2 citations
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.
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.
By using the linear approximation method, the intensity correlation function is calculated for a single-mode laser modulated by a bias signal and driven by colored pump and quantum noises with colored cross-correlation. We found that, when the correlation time between the two noises is very short, the behavior of the intensity correlation function versus the time, in addition to decreasing monotonously, also exhibits several cases, such as one maximum, one minimum, and two extrema. When the correlation time between the two noises is very long, the behavior of the intensity correlation function exhibits oscillation and the envelope is similar to the case of short cross-correlation time.
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.
Using the linear approximation method,we have studied the time vevolution of intensity correlation function C(t) in a single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts.When pump noise self-correlation time τ changes,we have found that,the time evolution of the C(t) will exhibit various change forms:that is,monotonous descending;monotonous rise;the appearance of a maximum;periodically surging with descending envelope.Furthermore,when the τ is a certain value,the value of the C(t) will lessen with the between the real and imaginary parts of quantum noise correlative increases,but when quantum noise intensity Q increases,the value will increase,and when pump noise intensity P increases,the descending of the C(t) with time has been delayed.
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.