Control of phase,polarization,and amplitude based on geometric phase in a racemic helix array

The Pancharatnam–Berry geometric phase has attracted great interest due to the elegant phase control strategy via geometric transformation of optical elements.The commonly used geometric phase is associated with circular polarization states.Here,we show that by exploiting the geometric phase associated with the two elliptical eigenpolarization states in a racemic metallic helix array,exotic features including full range phase modulation for linear polarization states,diverse polarization conversion,and full complex amplitude modulation can be obtained with rotation of the helices.As a proof of concept,several devices for implementing polarization conversion,vortex beam generating,and lateral dual focusing are built with a racemic helix array in the microwave regime.The calculated and experimental results validate our proposals,which can stimulate various advanced metadevices.