Propagation factor of partially coherent flat-topped beam array in free space and turbulent atmosphere

Analytical expressions for the propagation factor of partially coherent radial flat-topped (FT) beam array in free-space and turbulent atmosphere are derived. Our formulae can be applied to study the beam propagation factors of partially coherent Gaussian beam, partially coherent FT beam and partially coherent radial Gaussian beam array. The evolution properties of the propagation factors of those beams in turbulent atmosphere are studied numerically and comparatively. From the aspect of the propagation factor, our results show that partially coherent radial FT beam array is less affected by turbulence than partially coherent Gaussian beam, partially coherent FT beam and partially coherent radial Gaussian beam array.

► We derive analytical expression for the propagation factor of partially coherent radial flat-topped beam array.
► Evolution properties of the propagation factor in free space and turbulent atmosphere are illustrated.
► Partially coherent radial flat-topped beam array has advantage for overcoming the turbulence-induced degradation.