Focusing Characteristics of Radially Polarized Anomalous Vortex Beams

Abstract

According to the vector diffraction theory, focusing characteristics of radially polarized anomalous vortex beams (RPAVBs) passing through a high numerical aperture (NA) lens system are studied. Mathematical formulas for the transmission process are derived. The influence of the beam order n, the topological charge m, and NA of the RPAVBs on intensity distribution is investigated in detail. Furthermore, results show that a flat-topped beam can be observed with the appropriate values of m and NA. The results are of great significance to explore the potential applications of RPAVBs.