Statistical properties of an anomalous hollow beam with orbital angular momentum

Abstract

Due to the wide application of the vortex beam, a new theoretical model is introduced to describe the anomalous hollow beam (AHB) with optical angular momentum (OAM). The analytical propagation expression for the AHB with OAM passing through an ABCD optical system is derived. The effect of topological charge (TC) on the propagation properties of the AHB with OAM is studied numerically. The dependence of the normalized intensity distribution, the phase distribution and the optical angular momentum density (OAMD) distribution of the proposed beam on its TC is illustrated numerically. Furthermore, it is found that the intensity distribution, phase distribution, and the OAMD distribution are shaped through varying the TC and propagation distance. Our results will be useful for optical communication and optical trapping.