Figure 1: Illustration of using equation (1) to construct VVBs.
From: Independent Manipulation of Topological Charges and Polarization Patterns of Optical Vortices

(a) In this example, polarization eigenstates of
in equation (1) are chosen as linearly polarized states, denoted by
and
, respectively. The two weighting coefficients are c1 = 0.5 and c2 = 0.87, respectively. The geodesic path (green line) marked on the Poincaré sphere describes the SOP on the transverse plane. (b–d) Simulation results of ellipticity and orientation angles of polarization ellipses. The blue and red ellipses on the color maps represent right- and left-handed polarizations, respectively.