The technology offered for licensing pertains to novel polarizers that produce tangentially and radially polarized beams. The polarizers and polarizing beam splitter of the technology include one or more pairs of axicons (also known as conical lenses) that are configured to separate an input beam into a radially polarized component and a tangentially (or azimuthally) polarized component. A second axicon pair can be positioned to recombine the tangentially polarized component so as to provide a more uniform beam intensity. The radial polarized component can be reflected or otherwise directed so that one or both the radial and tangential components are available for use.