具有参数噪声的光学系统中的动态相关

International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems Pub Date : 1900-01-01 DOI:10.1364/idlnos.1985.thd6

M. S. Miguel, A. Hernández-Machado

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引用次数: 0

摘要

有人认为，在染料激光器(1)实验中发现的异常波动现象可能是由于泵浦参数的波动。提出的随机动力学模型为:I为激光场强度，∝为泵浦参数的平均值。随机力ξ (t)模型的波动∝。在离不稳定性点近的地方，ξ (t)不能用白噪声来建模。我们取ξ (t)和相关系数为z-1 exp (-|t-t'|/z)的Ornstein-Uhlenbeck噪声。本文给出了归一化稳态相关函数λ s = st−st 2 / st 2的短时间行为的计算

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Dynamic Correlations in Optical Systems with Parametric Noise

It has been suggested that anomalous fluctuation phenomena found experimentally in dye lasers(1) can be due to fluctuations of the pump parameter. The schochastic dynamical model proposed is In appropriate units I is the intensity of the laser field and ∝ is the mean value of the pump parameter. The stochastic force ξ (t) models fluctuations of ∝. Away from the immediate vecinity of the instability point, ξ (t) can not be modeled by a white noise. We take for ξ (t) and Ornstein-Uhlenbeck noise with correlation = z-1 exp (-|t-t'|/z). We present here a calculation of the short time behavior of the normalized steady state correlation function λ s = < I s I o > s t − < I > st 2 / < I > st 2

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International Meeting on Instabilities and Dynamics of Lasers and Nonlinear Optical Systems

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