首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Intensity correlation function and associated relaxation time of a saturation laser model with cross-correlated noises for the case of nonzero correlation time
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Intensity correlation function and associated relaxation time of a saturation laser model with cross-correlated noises for the case of nonzero correlation time

机译:非零相关时间情况下具有互相关噪声的饱和激光模型的强度相关函数和相关弛豫时间

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摘要

Considering a saturation laser model with cross-correlated additive and multiplicative noises, we derive the stationary probability distribution function P-st(I), the stationary intensity correlation function C(s) and the associated relaxation time T-c by virtute of the Novikov theorem and Stratonovich's decoupling ansatz. Based on numerical computation, we discuss the effects of the correlation strength lambda, the cross-correlation time tau, and the noises intensity. The correlation strength lambda attenuates the probability distribution and increases the intensity fluctuation of the laser system. The correlation strength lambda and the noise intensity D and Q speed up the relaxation of the system from an arbitrary state to the steady state and enhance the stability of the laser intensity output. For the case of negative correlation ( lambda < 0), the cross- correlation tau enhances the probability distribution, decreases the intensity fluctuation, slows down the relaxation of the system from an arbitrary state to the steady state, and decreases the stability of the laser intensity output; by contrast, the effects of the cross-correlation time tau on P-st(x), C(s), and T-c are entirely opposite for (lambda > 0).
机译:考虑具有互相关的加性和乘性噪声的饱和激光模型,我们利用Novikov定理和的推论得出了平稳概率分布函数P-st(I),平稳强度相关函数C(s)和相关的弛豫时间Tc。 Stratonovich的解耦ansatz。基于数值计算,我们讨论了相关强度λ,互相关时间tau和噪声强度的影响。相关强度λ减弱了概率分布并增加了激光系统的强度波动。相关强度λ和噪声强度D和Q加快了系统从任意状态到稳态的松弛,并增强了激光强度输出的稳定性。对于负相关(lambda <0),互相关tau增强了概率分布,减小了强度波动,减缓了系统从任意状态到稳态的弛豫,并降低了激光器的稳定性强度输出;相比之下,互相关时间tau对P-st(x),C(s)和T-c的影响在(λ> 0)时完全相反。

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