Vector Partially Coherent Beams With Twisted Sinc-Correlation Structure and Their Statistical Properties

We define a new kind of radially polarized twisted sinc-correlation Schell-model (RPTSCSM) source and establish the source parameter conditions necessary to produce a physical beam. With the help of the extended Huygens-Fresnel integral, Several typical numerical examples are provided to study the influence of the source parameter and turbulent parameter on the statistical properties of such beams on propagation. It is shown that the intensity profiles of such beams always exhibit rotation and self-splitting on propagation, which is caused by the twisted phase of the beams. Moreover, the light intensity splits into an array and maintains its array distribution in free space. While the array gradually evolves to a hollow distribution with a dark core in a turbulence medium, indicating that the light beam may automatically restore the radial polarized light intensity distribution in atmospheric turbulence after a certain distance of propagation. Compared with the intensity, the impact of the twisted factor on the degree of polarization is to produce noticeable distortion around its distribution centre. When propagating in a turbulent atmosphere, the degree of polarization of such beams exhibits well-turbulent resistance. The degree of coherence would also experience self-splitting and rotation caused by the twisted factor, and a turbulent atmosphere has an important influence on the degree of coherence. Our results will benefit multi-particle manipulation and free-space optical communication.