摘要:Focusing properties of radially polarized Lorentz–Gauss beam with one on-axis optical vortex was investigated by vector diffraction theory. Results show that intensity distribution in the focal region can be altered considerably by charge number of the optical vortex and the beam parameters. Many novel focal patterns may occur, Such as Peak-centered, and other focal shapes which is potentially useful in optical tweezers, material processing and laser printing. Keywords: Lorentz gaussian beam; Radially polarized beam; Vector diffraction theory.