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First-order statistics of the phase in optical vortex speckles.
Journal of the Optical Society of America A ( IF 1.9 ) Pub Date : 2020-04-01 , DOI: 10.1364/josaa.383813
Cristian Hernando Acevedo , Jose R. Guzman-Sepulveda , Aristide Dogariu

We present the theoretical analysis of first-order statistics of the phase in a far-field speckle field, which originates from an optical vortex passing through a random phase screen. By using the concept of the equiprobability density ellipse, we show that the standard deviation of the phase in a speckle field varies non-monotonically in the radial direction and, more interestingly, it exhibits a minimum at a certain radial position determined by the topological charge. In the limit of zero topological charge, the phase statistics naturally converges to the expectation corresponding to the incident Gaussian beam.

中文翻译:

光学涡旋斑点中相位的一阶统计量。

我们介绍了远场散斑场中相位的一阶统计量的理论分析,其起源于穿过随机相位屏幕的光学涡旋。通过使用等概率密度椭圆的概念,我们表明散斑场中相位的标准偏差在径向方向上非单调变化,更有趣的是,它在由拓扑电荷确定的某个径向位置上表现出最小值。在零拓扑电荷的极限下,相位统计自然会收敛到与入射高斯光束对应的期望值。
更新日期:2020-03-12
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