当激光在大气传输时，会引起光束的抖动、光束扩展和漂移等大气湍流效应，这严重影响了激光传输的效能。根据波动光学理论，建立了不同波束激光在大气湍流传输的数学模型，采用龙哥库塔法编写了四维程序。数值结果表明：大气湍流效应会造成激光光束的相位起伏变大，光束的聚焦能力减弱，光斑会发生分裂；相比高斯光束，矩形光束可大大减弱湍流效应。

When the high energy laser propagates through the atmosphere, many atmospheric turbulence effects appear, including the beam drift, beam jitter, beam expansion and so on. Based on the wave optical theory, a four-dimensional computer code simulating the turbulence effect was established in this work. The influence of turbulence on different waveform laser, such as the Gaussian laser and the rectangle laser, was calculated. The numerical results show that when the turbulence becomes stronger, the phase aberration of laser become larger and the power in the bucket and the focusing ability become weaken. A comparison between the Gaussian beam and rectangle beam indicates that the turbulence effect on the latter is weaker under the same other conditions and it may be a better candidate to reduce the turbulence effect.