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首页> 外文期刊>Chinese physics >Statistical properties of a single-mode laser driven by additive and multiplicative coloured noises with a coloured cross-correlation for different correlation times
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Statistical properties of a single-mode laser driven by additive and multiplicative coloured noises with a coloured cross-correlation for different correlation times

机译：由具有不同互相关时间的彩色互相关的加性和乘性色噪声驱动的单模激光器的统计特性

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摘要

We study a system for a single-mode laser driven by additive and multiplicative coloured noises with a coloured cross-correlation. The analytical expression of the stationary intensity distribution (SID) for the laser is derived in the case of three different correlation times. The influences of each stochastic parameter on the SID are discussed, the effects of the noise "colour" and the cross-correlation of noises on the mean intensity < I >, the variance, λ_2(0), and the skewness, λ_3(0) of the single-mode laser are investigated. We find that there are colourful phase transitions for the SID above a threshold, and re-entrant transitions induced by the "colour" of the additive noises. Further research of the curves of < I >-τ_i, λ_2(0)-τ_i, and λ_3(0)-τ_i (i=1,2,3) (where τ_i is the correlation time) shows that the output intensity not only increases with the additive noise correlation time τ_2 and the cross-correlation time τ_3 , but also the quality of the output of laser beams is optimized.
机译：我们研究了一种由加法和乘法色噪声与彩色互相关驱动的单模激光系统。在三个不同相关时间的情况下，得出了激光的固定强度分布（SID）的解析表达式。讨论了每个随机参数对SID的影响，讨论了噪声“颜色”和噪声互相关对平均强度，方差λ_2（0）和偏度λ_3（0 ）的单模激光器。我们发现，对于SID，在阈值以上存在多彩的相变，并且由加性噪声的“颜色”引起的折返过渡。进一步研究-τ_i，λ_2（0）-τ_i和λ_3（0）-τ_i（i = 1,2,3）（其中τ_i是相关时间）的曲线表明，输出强度不仅随着附加噪声相关时间τ_2和互相关时间τ_3的增加，激光束的输出质量增加。

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