title: Nonparaxial propagation properties of a vector partially coherent dark hollow beam.
abstract: 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.
authors: Yangsheng
authors: Y
authors: Yuan
authors: Shengcai
authors: S
authors: Du
authors: Yiming
authors: Y
authors: Dong
authors: Fei
authors: F
authors: Wang
authors: Chengliang
authors: C
authors: Zhao
authors: Yangjian
authors: Y
authors: Cai