On the basis of the vector Rayleigh–Sommerfeld diffraction integrals, the analytical expression for Gaussian vortex beams diffracted at a half-plane screen beyond the paraxial approximation is derived and used to study the polarization singularities formed by the transverse and longitudinal electric field components in the diffracted field. It is shown that there exist C-points and L-lines that depend on the off-axis parameters in the x and y directions, waist width, wavelength, and topological charge of diffracted Gaussian vortex beams, as well as on the position parameter. By a suitable variation of the off-axis and position parameters, the creation, motion, and annihilation of polarization singularities may take place, and the topological relationship holds true. Therefore, the nonparaxial beam diffraction and propagation provide a method for generating polarization singularities.
© 2009 Optical Society of America
Original Manuscript: May 22, 2009
Revised Manuscript: July 7, 2009
Manuscript Accepted: July 14, 2009
Published: August 17, 2009
Yamei Luo and Baida Lü, "Polarization singularities of Gaussian vortex beams diffracted at a half-plane screen beyond the paraxial approximation," J. Opt. Soc. Am. A 26, 1961-1966 (2009)