Recurrence rate correlation in scattered light intensity
Recurrence rate correlation in scattered light intensity
复制标题
散射光强度的复发率相关性
DOI：
10.1364/josa.68.000787
复制
发表时间：
1978
影响因子：
--
通讯作者：
R. Gellert
中科院分区：
文献类型：
--
作者：
J. C. Erdmann;R. Gellert
重新研究了散射激光的强度起伏。我们的目标是表明，有用的光谱信息可以通过相关的重现率的一个固定的，任意的强度水平。在发展的概念，我们首先分析的到达和离开统计的散射体在某些光散射实验。Kolmogorov的前向方程求解的探测体积中的散射体占据数的转移概率。很明显，在没有组态周期性的情况下，多散射体系统的散射光强度是一个具有统计独立增量的过程。当占据数在0和1之间波动时，它减少为一系列独立的脉冲。所有强度水平都以指数分布的时间间隔复发，平均复发率取决于水平。此外，复发率自相关函数成为一个重要的和容易获得的观察。在没有散射体配置周期性的情况下，它等于散射体速度相关函数乘以常数因子。文中给出了几个利用数字信号处理器的实验例子，说明了递归率相关的应用。一个持续感兴趣的情况是流体流动中湍流谱的测量。
The intensity fluctuations of scattered laser light are reinvestigated. The objective is to show that useful spectral information can be obtained by correlation of the recurrence rate of a fixed, arbitrary intensity level. In developing the concept, we first analyze the arrival and departure statistics of the scatterers in certain light-scattering experiments. Kolmogorov’s forward equation is solved for the transition probability of the scatterer occupation number in the detection volume. It then becomes apparent that in the absence of configuration periodicities the scattered light intensity of a many-scatterer system is a process with statistically independent increments. It reduces to a sequence of independent pulses when the occupation number fluctuates between zero and one. All intensity levels recur at exponentially distributed time intervals, the mean recurrence rate depending on the level. Furthermore, the recurrence rate autocorrelation function becomes an important and easily accessible observable. In the absence of scatterer configuration periodicities it equals the scatterer velocity correlation function times a constant factor. Several experimental examples utilizing commerical digital correlators are presented which demonstrate the application of recurrence rate correlation. A case of continuing interest is the measurement of turbulence spectra in fluid flow.