Creation of topological vortices using Pancharatnam-Berry phase liquid crystal holographic plates

Guo Xuyue, Zhong Jinzhan, Li Peng^†, Wei Bingyan^‡, Liu Sheng, Zhao Jianlin

(a), (b) The 3D views of isolated Hopf link and Trefoil knot. (c), (d) The amplitude and phase (insets) distributions of the Hopf linked and Trefoil knotted fields at the beam waist (z = 0) plane. (e), (f) Phase-only holograms generated by the inverse sinc functional phase-only encoding technique corresponding to the Hopf linked and Trefoil knotted fields.