Partially coherent radially polarized fractional vortex beam

作者：Jun Zeng, Chunhao Liang, Haiyun Wang, Fei Wang, Chengliang Zhao, Greg Gbur, Yangjian Cai · 发表于：Optics Express · 年份：2020 · DOI：10.1364/oe.390922 · 被引用次数：52 · 研究领域：Orbital Angular Momentum in Optics、Digital Holography and Microscopy、Near-Field Optical Microscopy

A new kind of partially coherent vector beam, named a partially coherent radially polarized fractional vortex (PCRPFV) beam, is introduced as a natural extension of the recently introduced scalar partially coherent fractional vortex beams [Zeng et al., Opt. Express26, 26830 (2018)10.1364/OE.26.026830]. Realizability conditions and propagation formulas for a PCRPFV beam are derived. Statistical properties of a focused PCRPFV beam, such as average intensity, degree of polarization, state of polarization and cross-spectral density matrix, are illustrated in detail and compared with that of a partially coherent radially polarized integer vortex beam and a scalar partially coherent fractional vortex beam. It is found that the statistical properties of a PCRPFV beam are qualitatively different from these simpler beam classes and are strongly determined by the vortex phase (i.e., fractional topological charge) and initial coherence width. We demonstrate experimental generation of PCRPFV beams and confirm their behavior. Our results will be useful for the rotating and trapping of particles, the detection of phase objects, and polarization lidar systems.