Study on the superposition characteristics of distorted beam in far field

Based on extended Huygens–Fresnel principle, an incoherent combination model of laser beams with random phase distorted is established. The characteristics of the combined focal spots are studied in detail. Using the numerical method, the far-field distribution of Flattened Gaussian beams and Gaussian beams with random phase distortion is simulated. Specially, the relation between the RMS, PSD of focal spot and different number of combination beams in the far-field is discussed. The results show that incoherent beam combination has a conspicuous smoothing effect on their focal spot, and Gaussian beams has the better ability to improve the far-filed smoothing than Flattened Gaussian beams.