Influence of turbulence on the Rayleigh range of partially coherent cosh-Gaussian beams

The analytical expressions for the Rayleigh range of partially coherent cosh-Gaussian beams both in free space and in atmospheric turbulence are derived. The influence of turbulence on the Rayleigh range of partially coherent cosh-Gaussian beams is studied. It is shown that the Rayleigh range of partially coherent cosh-Gaussian beams depends on the strength of turbulence and the beam parameters. The Rayleigh range decreases due to turbulence. The stronger the turbulence, the shorter the Rayleigh range is. In free space, the Rayleigh range increases with the increase of beam coherence parameter α , beam parameter β and Gaussian waist width w 0, and the decrease of wave length λ. However, the Rayleigh range is less sensitive to turbulence with α , β and w 0 decreasing and λ increasing. Furthermore, the influence of turbulence can be ignored when α , β and w 0 are small enough and λ is large enough.