“…Due to their distinctive polarization distributions, VV beams have shown unique features, making them appealing for different research purposes, e.g. microscopy [54], optical trapping [55,56], metrology [57,58], nanophotonics [59] and communication [60][61][62][63][64][65][66][67]. Formally, the state |R, (|L, ) describes a photon with uniform right (left) circular polarization carrying of OAM, and a VV beam can be conveniently described by a non-separable superposition of polarization-OAM eigenmodes.…”