Electrically driven generation of arbitrary vector vortex beams on the hybrid-order Poincaré sphere

We propose a simple, efficient, and fast tunable method to generate arbitrary vector vortex beams on the hybrid-order Poincaré sphere in an electrically driven way. The scheme incorporates the tunability and switching capabilities of liquid crystals into dielectric metasurfaces to form an efficient vector vortex beam generator. By applying certain voltages on the liquid crystal phase retarder, the generator converts a linearly polarized Gaussian beam into any desirable vector vortex beams. We demonstrate that the evolution route of the corresponding vector vortex states is just a closed circuit on the hybrid-order Poincaré sphere when the phase retardation varies from 0 to 2π. Several special cases are selected to demonstrate our scheme, and the experimental results coincide well with the theoretical predictions.