Parametric characterization of vortex cosine-hyperbolic-Gaussian beams
Z. Hricha, M. Lazrek, E. M. El Halba, A. Belafhal
Abstract
Based on the moments method, the analytical expressions for the beam propagation factor, the kurtosis parameter and the orbital angular momentum density distribution of a vortex cosh-Gaussian beam (vChGB) propagating in free space are derived. According to the obtained expressions, the beam propagation factor is determined by the decentered parameter b and the vortex charge m of the beam. The kurtosis parameter and the orbital angular momentum density are determined by the decentered parameter b, the vortex charge m and the propagation distance. Numerical examples are presented to illustrate and discuss the influences of the parameters b and m on the propagation characteristics of vChGB upon propagation in free space. This research could be beneficial to the applications involving vChGBs in optical communications, beam splitting, and micromanipulation of particles.