Fig. 1. Principle of generating arbitrary TAM states.

Fig. 2. Holograms to generate multiplexed scalar vortex beams, and their corresponding far-field diffraction patterns and OAM spectra. The OAM state distributions are (a) (|−1〉+|+2〉), (b) (|−4〉+|−3〉+|+1〉), and (c) (|−4〉+|−3〉+|+1〉)eiπ.

Fig. 3. The experimental setups for generating and testing arbitrary TAM states. LD, laser diode; PBS, polarized beam splitter; HWP1 & 2, half-wave plate; SLM1–SLM3, liquid-crystal spatial light modulator; QWP, quarter wave plate; P, polarizer; L, convex lens; CCD, infrared CCD camera. (a) Generating arbitrary TAM states. (b) Detection of vector polarization properties. (c) Detection of OAM distributions.

Fig. 4. Experimental results of generating separable TAM states. (a) |L〉|+1〉 and (b) |R〉|+3〉.

Fig. 5. Experimental results of generating non-separable TAM states with homogeneous transverse polarizations. (a) |Ψ〉=|R〉(|−3〉+|−1〉+|+1〉+|+3〉)+|L〉(|−3〉+|−1〉+|+1〉+|+3〉), and (b) |Ψ〉=|R〉(|−3〉+|−1〉+|+1〉+|+3〉)+exp(iπ)|L〉(|−3〉+|−1〉+|+1〉+|+3〉).

Fig. 6. Experimental results of generating non-separable TAM states with anisotropic transverse polarizations. The generated TAM state is |Ψ〉=|R〉(|−1〉+|+1〉)+|L〉|+2〉.