中文摘要：

利用相干叠加原理和广义Huygens-Fresnel衍射积分公式,理论上研究了具有确定初始相位排列的激光束列阵通过大气湍流的传播特性.发现在近距离的传输过程中,列阵光束的光强分布会出现螺旋状分布（即光学涡旋）.但由于大气湍流的影响,光束列阵远场涡旋特性随着传输距离的增加逐渐消失,成为无旋涡的实心光束;且当大气湍流变弱时,旋涡特性的有效传输距离逐渐变长.

英文摘要：

Based on the coherent superposition principle and the generalized Huygens-Fresnel diffraction integral, the properties of a radial beam array with definite initial phase distributions propagating through a turbulent atmosphere are analytically investigated. It is shown that, when the propagation distance is short, the output intensity distribution will gradually take on a spiral shape, which means an optical vortex. However, under the effect of the atmospheric turbulence, the output vortex property gradually disappears, and changes to a bright-cantered beam without vortex property. Furthermore, the weaker the atmospheric turbulence is, the longer distance the output optical vortex （the center-dark beam） can propagate over.