Yuan Yangsheng, Du Shengcai, Dong Yiming, Wang Fei, Zhao Chengliang, Cai Yangjian
J Opt Soc Am A Opt Image Sci Vis. 2013 Jul 1;30(7):1358-72. doi: 10.1364/JOSAA.30.001358.
Based on the generalized Raleigh-Sommerfeld diffraction integrals, analytical nonparaxial propagation formulas for the elements of the cross-spectral density matrix of a vector partially coherent dark hollow beam (DHB) in free space are derived. The effect of spatial coherence and beam waist sizes on the statistical properties of a nonparaxial vector DHB is studied numerically. It is found that one can modulate the statistical properties of a nonparaxial vector DHB by varying its initial spatial coherence, which will be useful in some applications where nonparaxial beams are commonly encountered.
基于广义瑞利 - 索末菲衍射积分，推导了自由空间中矢量部分相干暗空心光束（DHB）的交叉谱密度矩阵元素的解析非傍轴传播公式。数值研究了空间相干性和束腰尺寸对非傍轴矢量DHB统计特性的影响。发现可以通过改变其初始空间相干性来调制非傍轴矢量DHB的统计特性，这在一些经常遇到非傍轴光束的应用中将是有用的。
