“…Since then, radially polarized beams (Tang and Zhao, 2013), partially coherent radially polarized doughnut beam (Fu and Zhang, 2013), four-petal Gaussian beam (Liu et al, 2017a;Liu et al, 2017b). Gaussian Schell-model vortex beam (Huang et al, 2014), stochastic electromagnetic vortex beams (Xu and Zhao, 2014), partially coherent Hermite-Gaussian linear array beam (Huang et al, 2015), hollow Gaussian beams (Li et al, 2019), Gaussian array beam (Lu et al, 2015a;Tang and Zhao, 2015;Lu et al, 2015b), cosine-Gaussian-correlated Schellmodel beams (Ding et al, 2015), flat-topped vortex hollow beam (Liu et al, 2015;Liu et al, 2016), partially coherent Lorentz-Gauss vortex beam (Liu et al, 2017c), random electromagnetic multi-Gaussian Schell-model vortex beam (Liu and Wang, 2018), partially coherent anomalous hollow vortex beam (Liu et al, 2019), vortex Cosine-Hyperbolic-Gaussian beams (Lazrek et al, 2022), multi-sinc Schell-model beams (Liu et al, 2022), hollow higherorder cosh Gaussian beam (Elmabruk and Bayraktar , 2023) pulsed Laguerre higher-order cosh-Gaussian beam (Benzehoua and Belafhal , 2023) and a new power spectrum of the refractive-index fluctuations turbulent oceanic (Chib et al, 2023).…”