“…The propagation characteristics of laser beams in oceanic and anisotropic atmospheric turbulence have been extensively studied: such as partially coherent flat-topped vortex beams [ 1 ], partially coherent Lorentz-Gauss beam [ 2 ], electromagnetic Multi-Gaussian Shell-model beams [ 3 ], electromagnetic stochastic beams [ 4 ], ring Airy Gaussian beams with optical vortices [ 5 ], partially coherent elegant Laguerre-Gaussian beam [ 6 ], Airy vortex beam carrying orbital angular momentum [ 7 ], etc. In addition, light beams with Lorentz-Gaussian and elliptical behaviors, such as Airy–Lorentz–Gaussian beam [ 8 ], 4-Pl Lorentz-Gauss beam [ 9 ], elliptical Bessel beam [ 10 ], elliptical Airy vortex beam [ 11 ], etc., are of special interest in recent years, since they are characterized of a wide range of lasers beams and exhibit good propagating behaviors.…”