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Transformation and inverse transformation between a free-space linearly polarized beam and the vectorial vortex mode of a circular hollow waveguide by use of Pancharatnam-Berry phase optical elements is proposed. Demonstration was achieved by fabricating GaAs subwavelength gratings and utilizing a 300 m diameter hollow metallic waveguide for 10.6 m wavelength CO 2 laser radiation. The mode transformations and the excitation of a single vectorial mode inside the hollow waveguide were verified bydoi:10.1364/ol.31.003252 pmid:17072387 fatcat:glhneeexgjaehnog3lbknvquyy