Abstract

We present a method of homogenization of thin metallo-dielectric structures as used in the design of artificial surfaces, or metasurfaces. The approach is based on a so-called matched asymptotic expansion technique, leading to parameters being characteristic of an equivalent interface associated to jump conditions. It is applied to an array of metal strips on top of a metal-backed dielectric slab, with the strips having a small but possibly finite thickness. Solving the equivalent problem provides explicit expressions (1) of the reflection coefficient for a wave at oblique incidence and (2) of the dispersion relation of the surface waves. The results are shown to be in agreement with results coming from the transmission line theory in the limit of vanishing thickness of the metallization and for normal incidence of the wave. The influence of the finite thickness of the metallization is exemplified and validated by comparison with full wave simulations.

© 2016 Optical Society of America

Light scattering by periodic rough surfaces: equivalent jump conditions

Bruno Gallas, Agnès Maurel, Jean-Jacques Marigo, and Abdelwaheb Ourir
J. Opt. Soc. Am. A 34(12) 2181-2188 (2017)

Some considerations on the transmissivity of trirefringent metamaterials

Carlos Díaz-Aviñó, David Pastor, Carlos J. Zapata-Rodríguez, Mahin Naserpour, Rafał Kotyński, and Juan J. Miret
J. Opt. Soc. Am. B 33(2) 116-125 (2016)

Compound guided waves that mix characteristics of surface-plasmon-polariton, Tamm, Dyakonov–Tamm, and Uller–Zenneck waves

Francesco Chiadini, Vincenzo Fiumara, Antonio Scaglione, and Akhlesh Lakhtakia
J. Opt. Soc. Am. B 33(6) 1197-1206 (2016)

Analytical modeling of tensor metasurfaces

Nikolaos Chiotellis and Anthony Grbic
J. Opt. Soc. Am. B 33(2) A51-A60 (2016)

Metasurface homogenization based on contravariant tensor averaging in smooth field approximation

Kofi Edee
J. Opt. Soc. Am. B 37(5) 1379-1387 (2020)