多束超高斯激光相干合成的数值模拟

 建立了超高斯光束的相干叠加的数学模型，对比了光束间距为1 cm、超高斯阶数为12条件下25束高斯光束相干叠加与非相干叠加时的光强分布，发现相干合成的峰值光强为非相干叠加的峰值光强的近10倍，且光束质量也得到大大提高，有利于提高能量的利用率。分析了多种条件下相干合成的光强分布特性，结果表明：随机相位差小于十分之一波长时,相位差的变化对相干合成效果影响不大；当超高斯阶数大于10时对相干合成的峰值光强影响较小；随着相干发射阵列光束间距的增大，相干合成光强迅速减小，光束质量变差。得到了传输距离分别为10 m，100 m，1 km和5 km下的光强分布，表明合成的峰值光强随着传输距离的增加而由小变大，最后随着传输距离的进一步增大而衰减。最后得到了不同传输距离处的环围功率比。

Numerical simulation on coherent combination of multi-beam super-Gaussian laser

The mathematical model of coherent combination of super-Gaussian beams is established. When the interval of the coherent emitter arrays is 1 cm, the super-Gaussian order is 12, the beams intensity distribution of coherent combination is about 10 times as that of incoherent combination. The intensity distribution in various conditions is analyzed. The results show that when the random phase error is less than/1/10, or the order of the super-Gaussian is more than 10, the beam intensity of the coherent combination hardly changes. When the beams interval increases, the intensity distribution of coherent combination decreases speedily and the beam quality gets worse. With the increase of the propagation distance of beams, the intensity increases and attenuates at last. The intensity distribution and the encircled-power ratio in different propagation distance are also obtained.