Some experiments show that the laser propagation in the actual atmosphere will deviate from the ideal Kolmogorov model. Based on the generalized Huygens-Fresnel principle and non-Kolmogorov turbulence model, the analytical propagation expressions of partially coherent four-petal elliptical Gaussian vortex (PCEPEGV) beams in non-Kolmogorov atmospheric turbulence are derived, and the correctness of the analytical results is verified by simulation. The results show that topological charge number and coherence width play a key role in beam propagation. Large topological charge number, small beam order and large elliptical factor can alleviate the influence of atmospheric turbulence effectively and suppress mode crosstalk in orbital angular momentum mode propagation.
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