Abstract
Based on the extended Huygens-Fresnel principle, the cross-spectral density of a Hermite-cos-Gaussian correlated Schell-model (HcGCSM) beam propagating in non-Kolmogorov turbulence is derived in theory, and the intensity distribution and coherence properties of a HcGCSM beam propagation in atmospheric turbulence and free space are studied and compared by using numerical simulations. It is found that multiple beam spots of a HcGCSM beam propagation in atmospheric turbulence will combine with each other at the long distance, and the combination properties of multiple beam spots are related with initial beam parameters and strength of atmospheric turbulence. It is also found that spectral degree of coherence of a HcGCSM beam propagation in atmospheric turbulence will decrease faster than the beam propagation in free space as |r2−r1| increases
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