Modeling of nonparaxial propagation of beams generated by vortex diffractive optical elements

Based on the use of the non-paraxial vector Rayleigh-Sommerfeld propagation operator, we consider the properties of beams formed by vortex diffraction lenses and axicons under illumination with different polarization states radiation. We investigate both uniform polarization types (linear and circular) and non-uniform (radial, azimuthal, and hybrid). The combination of polarization and vortex phase singularity provides more degrees of freedom in the beam information load, as well as in its properties that affect the interaction with matter. Non-paraxial diffractive multifocal elements also can be used in medical applications and particle trapping and manipulation tasks.