Atmospheric turbulence effects on partially coherent flat-topped Gaussian beam

Propagation of laser beam through turbulent atmosphere was numerically studied using phase screen approximation. And partially coherent flat-topped Gaussian beam was expanded as a superposition of independent Hermite-Gaussian modes. In order to fit the results of numerical simulation, two expressions were deduced. One describes the dependence of the rms width of the beam on the order number, the spreading distance and the intensity of turbulence. The other describes the dependence of the coherent length of the beam on that of it’s initial time and that of turbulence. At the same, it is concluded that the coherente of laser beams are worse, the effects of them by turbulence are less; And that on the propagation of laser beams through trubulence, the effects of the initial coherent characte