Ellipticity of polarized ellipses in vector beams with orthogonal circularly polarized bases

Vector beams with spatially inhomogeneous polarization have been under researched for years, and a common analysis method is to decompose the vectorial field to two orthogonal circularly polarized components. While the former work concentrated on the azimuth variation of the polarized ellipses and had generated the relationship between the azimuths and the phase difference of the components, we analyzed the ellipticity and sense of the ellipses, which are related to the amplitude distributions of the components. This will play an important role in constructing the topological structures in reverse.