Generation of fractional and ultra-high polarization-order vector vortex beams on hybrid-order Poincare spheres

With the in-depth study of vortex beams, how to combine the polarization state with the complex amplitude modulation has become an important research project. Here we propose a new method to generate an ultra-high polarization-order vector vortex beam (VVB). Firstly, we analyze the vector beam generation at arbitrary positions on a higher-order Poincare ' sphere (HOPS) and a hybrid-order Poincare ' sphere (HyPS). Secondly, we modify the Mach-Zehnder interference setup, which generates the fractional polarization-order VVB with p = 7/2 and the ultra-high polarization-order VVB with p = 150 for verification experimentally. Thirdly, we analyze the Stokes parameters S1, S2, S3, the polarization angle psi and vector quality factor(VQF) corresponding to the experimental results. This method can be further improved for generating high-efficiency vector beams, which also play an important role in optical fabrication, light trapping, and optical communications.