Propagation of a partially coherent cosine-Gaussian beam through an ABCD optical system in turbulent atmosphere

Abstract

The propagation of a partially coherent cosine-Gaussian beam through a paraxial ABCD optical system in turbulent atmosphere is investigated. Analytical expression for the average intensity in the output plane is derived. The presented formula only covers optical systems without inherent apertures, where ABCD are all real-valued. As a special case of the general formula, the analytical formula for the average intensity of a partially coherent cosh-Gaussian beam through an ABCD optical system in turbulent atmosphere is also presented, respectively. The properties of the average intensity of the partially coherent cosine-Gaussian beam are investigated with a numerical example, and the dependence of the average intensity distribution on the spatial correlation length of a partially coherent cosine-Gaussian beam is mainly discussed.