The radial phased-locked multi-Gaussian Schell-model (MGSM) beam array composed by the N MGSM beamlets is first given to describe a new laser array. The evolution properties of radial phased-locked MGSM beam array in free space and oceanic turbulence are discussed in detail. Based on the extended Huygens-Fresnel principle, the MCF and the effective size of radial phased-locked MGSM beam array in oceanic turbulence are derived. The effects of beam parameters and the oceanic turbulence parameters on the spreading and spectral degree of coherence of radial phased-locked MGSM beam array propagating in oceanic turbulence are investigated by using numerical examples. This research may be useful in underwater optical wireless optical communication.

首先给出了由N MGSM子束组成的径向锁相多高斯谢尔模型（MGSM）光束阵列，以描述一种新的激光器阵列。详细讨论了径向锁相MGSM波束阵列在自由空间和海洋湍流中的演化特性。基于扩展的惠更斯-菲涅耳原理，推导了海洋湍流中的MCF和径向锁相MGSM波束阵列的有效尺寸。通过数值算例研究了光束参数和海洋湍流参数对在海洋湍流中传播的径向锁相MGSM波束阵列的扩展和频谱相干度的影响。这项研究可能在水下光学无线光通信中很有用。