周期力调制噪声驱动下单模激光系统的多重随机共振

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在周期力调制噪声驱动下单模激光系统的光强方程中加入调幅波,用线性化近似方法计算了系统的光强关联函数和输出信噪比,并对信噪比进行数值计算和分析,发现低频调制频率Ω、高频载波频率ω和周期力频率Ωλ对系统的输出信噪比有很大的影响.具体表现为信噪比R随低频调制频率Ω的变化过程中出现了多重随机共振和极强的单峰共振,当Ω<<ω时,系统出现的是多峰共振,且随着Ωλ增加,共振峰间的距离增大,峰值位置不变;当Ω→ω时,输出信噪比R迅速增大,而Ωλ的影响被削弱甚至可以忽略,多峰共振消失;当Ω=ω时,系统出现了极强的单峰共振.此外,信噪比随周期力频率的变化呈现振幅减小的多重随机共振,而随载流频率的变化出现单峰随机共振. The amplitude modulation wave is added to the light intensity equation of the single-mode laser system driven by periodic force noise, the light intensity correlation function and the output signal-to-noise ratio of the system are calculated by the linear approximation method, and the signal-noise ratio is calculated and analyzed numerically. It is found that the low frequency modulation frequency Ω, the high frequency carrier frequency ω and the periodic force frequency Ωλ have a great influence on the output signal to noise ratio of the system, which is manifested by the multiple random resonance in the process of the change of the signal to noise ratio R with the low frequency modulation frequency Ω, And very strong unimodal resonance. When Ω << ω, the system appears multi-peak resonance, and as the Ωλ increases, the distance between the resonance peaks increases and the peak position does not change. When Ω → ω, the output signal The noise ratio R increases rapidly, and the influence of Ωλ is weakened or even neglected, and the multi-peak resonance disappears. When Ω = ω, the system exhibits extremely strong single-peak resonance. In addition, the signal-noise ratio appears with the variation of the periodic force frequency Amplitude multiple random stochastic resonance, and with the carrier frequency changes appear single peak stochastic resonance.
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