“…The more general solution is Hermite-Sinusoidal-Gaussian beams, which was introduced by Casperson and coworkers [12,13]. Hyperbolic-cosine-Gaussian beams are regarded as the special case of Hermite-sinusoidal-Gaussian beams, and are of practical interest because their profiles can be altered by choosing suitable beam parameters in cosh parts [14].Among the variety of types of gaussian beams, e.g.,Laguerre-Gaussian (LG) beam [15], the high order hollow sinh-Gaussian beam [16], Multigaussian beam [17], Hollow gaussian beam are discussed in depth [18].On the other hand, research on optical vortices has grown rapidly, because optical vortices have some interesting properties and applications [19][20]. Evolution of the optical vortex was found in stochastic vortex fields [21].…”