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To enhance transmission efficiency of Pancharatnam-Berry (PB) phasemetasurfaces, multilayer split-ring resonators were proposed to developencoding sequences. As per the generalized Snell law, the deflection angle ofthe PB phase encoding metasurfaces depends on the metasurface period size.Therefore, it is impossible to design an infinitesimal metasurfaceunit.Consequently, the continuous transmission scattering angle cannot beobtained. In digital signal processing, this study introduces the Fourierconvolution principle on encoding metasurface sequences to freely control thetransmitted scattering angles. Both addition and subtraction operations betweentwo different encoding sequences were then performed to achieve the continuousvariation of the scattering angle. Furthermore, we established that the Fourierconvolution principle can be applied to the checkerboard coded metasurfaces.

Free Control of Far-Field Scattering Angle of Transmission Terahertz Wave using Multilayer Split-Ring Resonators Metasurfaces