Semianalytically Designed, Transverse Magnetic, Printed Circuit Board Metagratings

We propose a novel printed-circuit-board (PCB) compatible configuration for transverse magnetic (TM) polarized metagratings (MG), followed by a semianalytical design method. These sparse periodic arrangements of subwavelength polarizable particles are typically designed using detailed Floquet-Bloch-based analytical models, yielding fabricationready configurations exhibiting prescribed scattering patterns. To advance these models beyond single-polarized MGs demonstrated so far, we utilize dog-bone metallic elements to facilitate interaction with TM waves, and show that the canonical dipole line model can be used to analyze and synthesize such MGs. We demonstrate the efficacy of the proposed methodology by designing perfect MG beam splitters, verified via full-wave simulations. These results lay the grounds for complete semianalytical design of dual polarized PCB MGs.