Influence of non-Kolmogorov atmospheric turbulence on propagation factors of partially coherent Hermite-Gaussian beams

Based on the non-Kolmogorov spectrum, using the extended Huygens-Fresnel principle and the definition of second-order moments of the Wigner distribution function (WDF), the analytical expressions for the propagation factors of partially coherent Hermite-Ganssian (H-G) beams propagating through non-Kolmogorov atmospheric turbulence are derived, and used to study the influence of non-Kolmogorov atmospheric turbulence on the propagation factors of partially coherent H-G beams. It is shown that the smaller the propagation distances, the outer scale, the general structure constant, the spatial coherence length, and the larger the inner scale, the beam orders, the less the propagation of partially coherent H-G beams is affected by non-Kolmogorov atmospheric turbulence, the better the beam quality. When the general exponent is 3.11, the beam quality of partially coherent H-G beams is the poorest through atmospheric turbulence.