Analysis of the far-field characteristics of hybridly polarized vector beams from the vectorial structure

•TE, TM and whole energy fluxes of the HPV beam are obtained.•The diffraction patterns are strongly dependent of the aperture radius.•Side lobes and central lobes occupy oscillating patterns, respectively.•The diffraction is extremely intensive when the aperture radius approaches the wavelength.

Based on the angular spectrum representation of electromagnetic beams, analytical expressions are derived for the TE term, TM term and the whole energy fluxes of a hybridly polarized vector (HPV) beam propagating in the far field. It is shown that both the TE and TM terms of the energy fluxes are strongly dependent of the truncation radius of the circular aperture. By choosing the truncation radius as a certain value, it is found that the far-zone distributions of TE and TM terms exhibit four-petal patterns with surrounding side-lobes displaying oscillating intensities. Interestingly, such phenomenon becomes extremely obvious particularly when the truncation radius is comparable with the wavelength of the propagating beam.