经过大气湍流的激光束，在整个接收面上会产生相位起伏，从而引起光束的到达角起伏。为了建立接收面某点处两者之间的数学关系，采用了一种几何方法，从相位起伏分布出发，构造了波前的空间几何形态，进而计算出到达角起伏分布。对该方法的可行性进行了理论分析和计算，取得了到达角起伏分方差计算值与理论值的比较结果。结果表明，用该方法计算所得的到达角起伏方差，与已知的到达角起伏统计特性符合较好。这一结果对研究经大气湍流的光束形态及统计特性是有帮助的。

The phase fluctuation of the beam propagating through the atmospheric turbulence,can induce the angle-of-arrival fluctuation on the receiver plane. In order to find the relation between them on a certain spot,based on the known phase distribution on the receiver plane,the wavefront geometric shape was constructed to calculate the angle-of-arrival distribution. The feasibility of the method was analyzed and the calculated variance by the geometric method was compared with the theoretic value. The results show that the calculated variance accords with the statistics of the angle-of-arrival well. The obtained results are useful for the study of the configuration and statistics characteristics of the beam propagating through the atmospheric turbulence.