Turbulence distance of cosh-Gaussian beams in non-Kolmogorov turbulence

To study the spreading of cosh-Gaussian beams propagating through non-Kolmogorov turbulence,extended Huygens-Fresnel principle was used. The expression of turbulence distance ztof partially coherent cosh-Gaussian beams propagating through turbulence was derived. The influence of turbulence parameters( generalized exponent parameter α,inner scale l0 and outer scale L0) and beam parameters(coherence parameter β and decentered parameter δ)on turbulence distance was studied theoretically. The results show that turbulence distance ztdecreases firstly and then increases with the increase of α. When α = 3. 11,ztis minimum. And ztincreases with the increase of l0 and δ,decreases with the increase of L0(just for 3. 6 α 4) and β. The results will be useful for the applications of cosh-Gaussian beams propagating in non-Kolmogorov turbulence.