利用近年来发展的描述海洋湍流的空间功率谱函数，结合数值积分的方法计算并绘制了广义惠更斯菲涅耳积分中湍流项的大小随湍流参数变化的曲面图。继而通过魏格纳分布函数和光束二阶矩的定义模拟了部分相干厄米高斯(PCHG)光束的M2因子在海洋湍流中的变化情况，分析了光源参数的选择对于光束传输质量因子的影响。最后通过M2因子矩阵，计算了非旋转对称二维PCHG光束传输质量随旋转角α变化的轨迹图。发现随着传输距离的增大，在接收面上，光斑因x，y方向上模式的不同而造成轨迹图的形状的不同将逐渐消失，趋近于相同的圆形轨迹。

The spatial power spectrum function of oceanic turbulence is used to calculated the variations of turbulence perturbation item with turbulence parameters in extended Huygens-Fresnel integral by numerical methods. Then, the change of propagation quality factor of partically coherence Hermite-Gaussian (PCHG) beam traveling in oceanic turbulence is calculated by Wigner distribution function and the second moment definition of the beam. The affection of beam parameters on M2 factor is also analyzed. At last, the matrix of M2 factor is used to calculate the track of M2 factor of nonsymmetrical two-dimensional PCHG beam. It is found that the track plots of two dimensional PCHG beams′ spots on the receive plane are different from each other because of different models on x direction and y direction, but the difference decreases with the increase of propagation distance, and finally tends to same circular track.