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理论物理通讯：英文版

Phenomenon of Resonance in a Two-Mode Laser with an Input Additive Signal

Jin Li

Published Jan 1, 2010• 0 citations
OpenAlex

Abstract

Exact formulas for the power spectrum and signal-to-noise ratio (SNR) with periodic additive signal are calculated in the linear system.Then the phenomenon of resonance is studied in detail.We show that resonance peak and suppressed valley exist in the curves of the SNR versus the coefficient of self-saturation, the net gain and the cross-coupling coefficient of the laser system.

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Exact formulas for the power spectrum and signal-to-noise ratio (SNR) with periodic additive signal are calculated in the linear system.Then the phenomenon of resonance is studied in detail.We show that resonance peak and suppressed valley exist in the curves of the SNR versus the coefficient of self-saturation, the net gain and the cross-coupling coefficient of the laser system.
Under the influence of amplitude modulated signal,we use the linear approximation method to study the output power spectrum and signal-to-noise ratio of the saturation laser model driven by the correlated real and imaginary parts of quantum noise and the pump noise.According to the computer data and mapping,we specifically discuss the phenomenon λq of stochastic resonance of the system which happened by the changes of the signal frequency,the correlation λq of real and imaginary parts of quantum noise and the intensities of pump noise.The results show that the system has resonance phenomenon when λq=0.Although the modulated signal has a significant impact on the system,due to the zero correlation between quantum noise and pump noise,there is no phenomenon of stochastic resonance happening when other parameters change.
The stochastic resonance (SR) in an optical bistable system under the simultaneous action of multiplicative and additive noises and periodic signal is studied using the adiabatic approximation theory. The signal-to-noise ratio(SNR)is a non-monotonic function of intensity of additive noise, in which the SR phenomenon appears. The SNR decreased with the intensity of multiplicative noise, and SR phenomenon does not appear. So the effects of additive and multiplicative noise on the output SNR are different.
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.
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.