Open AccessPartially coherent radially polarized fractional vortex beam
Author(s) -
Jun Zeng,
Chunhao Liang,
Haiyun Wang,
Fei Wang,
Zhao Chen,
Greg Gbur,
Yangjian Cai
Publication year - 2020
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.390922
Subject(s) - physics , optics , vortex , polarization (electrochemistry) , optical vortex , beam (structure) , coherence (philosophical gambling strategy) , radial polarization , scalar (mathematics) , light beam , degree of coherence , topological quantum number , degree of polarization , stokes parameters , laser beam quality , scattering , laser beams , quantum mechanics , laser , mathematics , geometry , chemistry , thermodynamics
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.