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 l/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 distributio