Propagation of anomalous vortex beams through an annular apertured paraxial ABCD optical system

Abstract

A new form of laser beam, called anomalous vortex beam (AVB), has been proposed recently. Here we study the propagation characteristics of the AVB passing through a paraxial ABCD optical system with an annular aperture. The approximate analytical expressions are derived based on the Collins integral formula. Some numerical examples are given to illustrate the intensity distribution of the AVB through a paraxial ABCD optical system with an annular aperture. It is shown that the field distribution depends on the topological charge \(m\), the waist \(w_{0}\), and the width of annular aperture.