title: Nonparaxial propagation of a Gaussian optical vortex with initial radial polarization.
abstract: We study the nonparaxial diffraction of a Gaussian vortex beam with initial radial polarization and an arbitrary integer topological charge n. Analytical relationships for the radial, azimuthal, and longitudinal components of the E-vector are deduced. At n=0, the azimuthal component of the field equals zero, with the radial and axial components becoming coincident with the relationships reported in [J. Opt. Soc. Am. A 26, 1366 (2009)]. At any n>1, the vortex beam intensity on the optical axis equals zero, whereas at n=1(-1) an intensity peak is found in the focus. Explicit analytical relationships for a Gaussian vortex beam with initial elliptical polarization are also derived. Relationships that describe the nonparaxial radially polarized Gaussian beam are deduced as a linear combination of the Gaussian vortex beams with n=1(-1) and left- and right-hand circular polarization.
authors.affiliation: Laser Measurements Laboratory, Image Processing Systems Institute of the Russian Academy of Sciences, 151 Molodogvardejskaya street, Samara 443001, Russia.
authors.forename: Victor V
authors.initials: VV
authors.lastname: Kotlyar
authors.forename: Alexey A
authors.initials: AA
authors.lastname: Kovalev