Evolution properties of a radially polarized fractional multi-Gaussian Schell-model beam propagating in anisotropic turbulence

Gaussian Schell-model beams with radial polarization have drawn growing attention because of special propagation properties. In this paper, the dynamic characteristics of a radially polarized fractional multi-Gaussian Schell-model (FMGSM) beam are investigated. By the use of the paraxial approximation condition, the analytical formulas for the spread of a radially polarized FMGSM beam in isotropic and anisotropic turbulence are deduced. The propagation behaviours of the spectral density, the average transmittance and the degree of polarization (DOP) of the radially polarized FMGSM beam spreading through isotropic and anisotropic turbulence are examined. The effects of the atmospheric turbulent on propagation can be alleviated effectively by optimizing the corresponding beam parameters. The findings obtained in this work could be useful in some fields, including the material surface processing, lidar detection and imaging. (author)