PRB Paper Published (14-Dec-2021)

Our paper on sinusoidally-modulated metasurfaces with normal polarizability, written by Ph. D. student Amit Shaham and Ariel Epstein, was published in the Physical Review B. The paper analyzes rigorously this fundamental case study for the first time, revealing that due to the non-local nature of the normal polarizability distribution, unconventional difference equations governing the relation between the metasurface properties and the scattering coefficients are formed. These feature unique instability conditions, which cannot be addressed by simply relying on the Meixner-Schafke theorem. Our work shows that introduction of infinitesimal losses (unavoidable in practice) mitigates this issue, leading to a stable solution to the scattering coefficients. Based on the developed analytical formalism, it is shown that such surfaces exhibit reflection properties corresponding to Wood’s anomaly, with a resonant notch in the angular response. These observations, verified experimentally via a suitable prototype, highlight the exceptional properties of metasurfaces with normal susceptibility components, laying the grounds for further explorations of spatially-varying versions of such formations.