Transmittance of partially coherent flat topped beam with circular and elliptical symmetry in turbulence

Average relative power transmittance is evaluated, for partially coherent flat topped beams with circular and elliptical symmetry, propagated through turbulent atmosphere. We have shown that for partially coherent flat topped beams with the mentioned symmetry, power transmittance is enhanced as the order of flat topped beam increase, but the full coherent one does not show this behavior. Also we have shown that there is a transition region (RC) for full and partial coherent flat topped beams with circular and elliptical symmetry. We investigated the dependency of the power transmittance in turbulent media with respect to the structure constant.