Propagation properties of partially coherent sinh vortex beam through anisotropic atmospheric turbulence

Based on the extended Huygens Fresnel principle and Rytov approximation, we have theoretically derived the analytical formula for the propagation of partially coherent electromagnetic hyperbolic-sine-Gaussian vortex beam (PCEShVB) in anisotropic atmospheric turbulence. And the evolution characteristics of average intensity, the degreed of coherent(DOC) and the degree of polarization(DOP) of the beam in turbulence have been studied in detail. The results show that in the propagation process, the intensity distribution of the beam will appear spiral structure distribution, and the overall distribution of the light spots will rotate, and the rotation direction is related to the sign of the topological charge. The DOC distribution of PCEShVB will show a pattern similar to beam interference fringes with the increase of propagation distance, and the number of ‘interference fringes’ is greatly affected by the hyperbolic sine parameter. In addition, PCEShVB with large initial coherent length and hyperbolic sine parameter will obtain a large DOP. Finally, we use the random phase screen method to verify the correctness of our theoretical results.