Abstract

Propagation properties of partially coherent elegant Laguerre–Gaussian beam (PC-eLGB) and partially coherent standard Laguerre–Gaussian beam (PC-sLGB) through the turbulent atmosphere are studied. Analytical formulas for the intensity and effective beam width (EBW) of the PC-eLGB and PC-sLGB through the turbulent atmosphere are derived based on the extended Huygens–Fresnel principle. The propagation properties of PC-eLGB and PC-sLGB through the turbulent atmosphere are studied numerically and comparatively. It is shown that the intensities of the PC-eLGB and PC-sLGB are less affected by the turbulent atmosphere than the fully coherent Laguerre–Gaussian beam. The spreading (EBW and divergent angle of the far field) of PC-eLGB and PC-sLGB with the different mode orders (m,n) is slower in the free space than in the turbulent atmosphere, and the PC-sLGB spreads more rapidly than the PC-eLGB through the free space and the turbulent atmosphere. The study results will be useful for free space optical communications.

© 2015 Optical Society of America

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