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International Conference on Education, Management and Information Technology (ICEMIT)

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

Wang Guowei, Fu Yan

Published Jan 1, 2018• 0 citations
Publisher

Abstract

The time evolution of intensity correlation functionin 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 1 << τ , it can be found that: (i)when modulation signal frequency Ω increases, the time evolution ofexperiences 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 0 a 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 1 >> τ , the time evolution ofonly exhibits periodically surging with descending envelope.

DOI
10.25236/icemit.2018.315

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Communications in Theoretical Physics•Apr 1, 2005•1 citation
The time evolution of intensity correlation functionin 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 1 << τ , it can be found that: (i)when modulation signal frequency Ω increases, the time evolution ofexperiences 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 0 a 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 1 >> τ , the time evolution ofonly exhibits periodically surging with descending envelope.
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.
Using the linear approximation method, we have studied how the correlation function C ( t ) of the laser intensity changes with time in the loss-noise model of the 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. We have found that when the pump noise self-correlation time τ changes, (i) in the case of τ ≪ 1, the C ( t ) vs. t curve experiences a changing process from the monotonous descending to monotonous rise, and finally to the appearance of a maximum; (ii) in the case of τ≫ 1, the curve only exhibits periodically surging with descending envelope. When τ ≪ 1 and τ does not change, with the increase of the pump noise intensity P , the curve experiences a repeated changing process, that is, from the monotonous descending to the appearance of a maximum, then to monotonous rise, and finally to the appearance of a maximum again. With the increase of the quantum noise intensity Q , the curve experiences a changing process from the monotonous rise to the appearance of a maximum, and finally to the monotonous descending. The increase of the quantum noise with cross-correlation between the real and imaginary parts will lead to the fall of the whole curve, but not affect the form of the time evolution of C ( t ).
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.
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 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.
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.