Interference analysis of radially polarized laser beams generated by ring optical elements with vortical phases at sharp focusing

摘要: We performed theoretical analysis of sharp focusing radially polarized beams when there are annular apertures at vortex phase elements in the system. obtained analytical expressions for field focal region case one and two apertures. also present asymptotic near optical axis a distance from it. showed that narrow aperture with distribution is proportional to superposition Bessel functions different orders. In this case, an axially symmetric does not depend on longitudinal coordinate. When used interference pattern vector Bessel-type generated region. equal phases both rings, remains axisymmetric one, but periodic dependence coordinate appears. If each rings orders, we obtain more intricate type leading formation spiral beams.