Abstract
The trefoil and cinquefoil vector field are of essential significance for fundamental topology properties as the Hopf link and trefoil knots in the light field. The spatially multiplexing metasurfaces were designed with two sets of periodical nanoslits arranged alternately, each had independent geometric spiral phases and metalens phases to produce and focus vortex of the corresponding circular polarized (CP) light. By arranging the orientations of the two slit sets, the two CP vortices of the desired topological charges were obtained, the superposition of the vortices were realized to generate the vector field. With the topological charges of the vortices set to one and two, and three and two, respectively, the focused trefoil and cinquefoil vector light fields were acquired. The work would be important in broadening the applications of metasurface in areas as vector beam generations and topology of light field.
Highlights
IntroductionVector beams with spatially non-uniform polarization states have attracted widespread attention due to their unique properties
Nanomaterials 2021, 11, 858. https://In recent years, vector beams with spatially non-uniform polarization states have attracted widespread attention due to their unique properties
Xunong Yi et al extended higher-order Poincaré sphere (HOPS) to the hybrid-order Poincaré sphere (HyOPS) which was used to describe the more general polarization state of a vector beam formed by the superposition of two arbitrary vortices of the opposite circular polarized (CP) [7]
Summary
Vector beams with spatially non-uniform polarization states have attracted widespread attention due to their unique properties. They have shown broad application prospects in many fields such as quantum communication [1], optical tweezers [2], high-resolution microscopy [3], laser processing and structuring [4,5]. Xunong Yi et al extended HOPS to the hybrid-order Poincaré sphere (HyOPS) which was used to describe the more general polarization state of a vector beam formed by the superposition of two arbitrary vortices of the opposite CPs [7]. When the longitudinal field component focused beams in the light field is considered, a three-dimensional topology of Möbius strip is observed [9]
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