Acevedo Cristian Hernando, Guzman-Sepulveda Jose R, Dogariu Aristide
J Opt Soc Am A Opt Image Sci Vis. 2020 Apr 1;37(4):584-590. doi: 10.1364/JOSAA.383813.
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.
我们给出了远场散斑场中相位一阶统计量的理论分析，该散斑场源于穿过随机相位屏的光学涡旋。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处呈现最小值。在拓扑电荷为零的极限情况下，相位统计自然收敛到与入射高斯光束对应的期望值。
