Tight focusing of J₀-correlated azimuthally polarized vortex beams

By expanding the vectorial Debye theory into the tight focusing of J0-correlated field, the intensity, correlation and polarization properties of J0-correlated azimuthally polarized vortex beams are studied. Expressions are derived for the intensity distribution, the spectral degree of coherence and the degree of polarization in the focal region. It is found that the intensity distributions, the degrees of correlation and the polarization of focused field are dependent not only on the correlation length and the numerical aperture maximal angle but also on the topological charge. It is also shown that such beam in the focal plane can obtain the highly confined focal spot and the focal hole.