Surface Impedance Modeling of All-Dielectric Metasurfaces

Abstract

We develop a simple and reliable analytical model that allows describing the electromagnetic response of all-dielectric metasurfaces consisting of a single-layer array of high-permittivity spherical particles. By combining Mie theory with a bi-dimensional homogenization approach, we derive closed-form expressions of the electric and magnetic surface impedances exhibited by the metasurface and, thus, its reflection and transmission coefficients. The effectiveness of the proposed approach is validated through a set of full-wave simulations. The availability of the analytical model here developed allows a more in-depth understanding of the complex scattering response of these electromagnetic structures and enables the design of innovative devices operating throughout the whole electromagnetic spectrum, including, for example, unconventional reflectors for antennas, broadband optical mirrors, and highly efficient nanoantenna reflectarrays.

References in corpus (5)

• Meta-Gratings: Beyond the Limits of Graded Metasurfaces for Wavefront Control
• Polarizabilities and Effective Parameters for Collections of Spherical Nano-Particles Formed by Pairs of Concentric Double-Negative (DNG), Single-Negative (SNG) and/or Double-Positive (DPS) Metamaterial Layers
• Optimum Forward Light Scattering by Spherical and Spheroidal Dielectric Nanoparticles with High Refractive Index
• Theory of metasurface based perfect absorbers
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Cited by in corpus (6)

• Phase-Gradient Huygens Metasurface Coatings for Dynamic Beamforming in Linear Antennas
• Design of High-Q Passband Filters Implemented Through Multipolar All-Dielectric Metasurfaces
• Design of reconfigurable Huygens metasurfaces based on Drude-like scatterers operating in the epsilon-negative regime
• Exceptional points in parity-time symmetric plasmonic Huygens metasurfaces
• Quadrupolar susceptibility modeling of substrated metasurfaces with application to the generalized Brewster effect
• Bipartite Dielectric Huygens' Metasurface for Anomalous Refraction