Abstract
Based on the extended Huygens-Fresnel principle, the analytical expressions for the Strehl ratio(SR) of Gaussian Schell-model(GSM) vortex beams and Gaussian Schell-model non-vortex beams propagating through atmospheric turbulence and free space are derived. The corresponding results are also calculated. It is shown that the smaller the structure constant C 2 n, the inner scale l0 and the wave length λ, as well as the larger the outer scale turbulence L0, the lager the SR for the GSM vortex beams, and as the spatial correlation length σ0 increases, the SR for the GSM vortex beams first increases then decreases. The work will provide theoretical foundation for the practical application of GSM vortex beams.
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