Sterhl ratio of vortex beams propagating through atmospheric turbulence

Abstract

Abstract. Based on the extended Huygens-Fresnel principle, the analytical expressions for the Strehl ratio(S R ) 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 l 0 and the wave length λ, as well as the larger the outer scale turbulence L 0 , the lager the S R for the GSM vortex beams, and as the spatial correlation length σ 0 increases, the S R for the GSM vortex beams first increases then decreases. The work will provide theoretical foundation for the practical application of GSM vortex beams.