“…And then after that, several studies on light propagation through oceanic turbulence were carried out. For example, Lu et al studied the influence of Contents lists available at ScienceDirect journal homepage: www.elsevier.com/locate/optcom temperature and salinity fluctuations on propagation behavior of partially coherent beams in oceanic turbulence [18], Korotkova et al examined the effect of oceanic turbulence on polarization and spectral changes of stochastic beams [19,20], Zhao et al investigated the propagation of radially polarized beams and stochastic electromagnetic vortex beams through oceanic turbulence [21,22], Baykal et al studied scintillations of optical plane and spherical waves and multimode laser beams in underwater turbulence [23,24], Zhang et al examined the evolution behavior of Gaussian Schell-model vortex beams propagating through oceanic turbulence [25], and we studied the influence of oceanic turbulence on propagation characteristics of Gaussian array beams [26]. However, the beam characteristics of third-order and fourth-order moments on propagation in oceanic turbulence haven't been examined until now.…”