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Metagratings (MGs), sparse (periodic) composites of subwavelength polarizableparticles (meta-atoms), have demonstrated highly efficient diffractionengineering capabilities via meticulous tailoring of the interaction betweenindividual scatterers. To date, MGs at microwave frequencies have mostly beendevised for either transverse electric (TE) or transverse magnetic (TM)polarized scenarios, which limits their use in many practical applications.Herein, we bridge this gap and present a comprehensive semianalytical designmethod for dual-polarized MGs with a separable response for TE and TM waves.First, by relating a printed circuit board (PCB) compatible array of dog-boneelements with the canonical dipole line analytical model, we establish ameta-atom for TM-polarized MGs, featuring negligible interaction with TE waves.Subsequently, we integrate the proposed configuration with a systematicsynthesis scheme to implement a TM beam splitter MG, harnessing the equivalentdipole line model to resolve analytically the optimal meta-atom coordinates anddog-bone polarizability, without resorting to full-wave optimization. Finally,we show that a dual-polarized MG beam splitter can be conveniently synthesizedcorrespondingly, combining the TM-polarized structure as is with previouslyreported TE-polarized MG designs. This work paves a clear path towardsintegration of sparse, semianlaytically synthesized, efficient MGs in practicaldual-polarized communication and imaging applications.

Semianalytically Designed Dual Polarized Printed-Circuit-Board (PCB) Metagratings