Propagation of partially coherent vortex Hermite-cosine-hyperbolic-Gaussian beams in turbulent atmosphere

The propagation properties of a partially coherent vortex Hermite-cosine-hyperbolic-Gaussian beam (PCvHChGB) is investigated in atmospheric turbulence. The theoretical model for a PCvHChGB propagating in the turbulent atmosphere is established based on the extended Huygens–Fresnel diffraction integral and Rytov method, and the beam expression is obtained. The effects of the turbulence strength and initial beam parameters on the dynamic evolution of the PCvHChGB are analyzed numerically with comparison to the free space propagation. It is demonstrated that when the turbulence strength is higher or the input beam parameters, such as the beam order, the vortex charge, the spatial coherence length σ₀, and the Gaussian waist width, are smaller, the central peak intensity rises more quickly. The intensity pattern change is faster as the wavelength is larger with a small decentered parameter b, inversely, when b is bigger, the opposite phenomenon happens. The obtained results could be beneficial to the PCvHChGB applications in optical communications and remote sensing systems.