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Dispersion properties of glide-symmetric corrugated metasurface waveguides

Published online by Cambridge University Press:  02 March 2023

Boris Fischer
Affiliation:
Sorbonne Université, CNRS, Laboratoire de Génie Electrique et Electronique de Paris (GeePs), 75252, Paris, France Université Paris-Saclay, CentraleSupélec, CNRS, GeePs, 91192, Gif-sur-Yvette, France
Guido Valerio
Affiliation:
Sorbonne Université, CNRS, Laboratoire de Génie Electrique et Electronique de Paris (GeePs), 75252, Paris, France Université Paris-Saclay, CentraleSupélec, CNRS, GeePs, 91192, Gif-sur-Yvette, France

Abstract

In this paper, a mode-matching procedure is used to prove for the first time the dispersionless behavior of glide symmetry (GS) in corrugated metasurface waveguides. Depending on their field symmetry, the Floquet harmonics have a different impact onto the frequency dispersion, which is reduced with GS when the gap between the surfaces is small. Indeed, the glide-symmetric waveguide is shown to have the same effective propagation features as a scaled mirror-symmetric waveguide with half the period and a doubled gap. We propose closed-form formulas for the effective refractive index of the glide-symmetric waveguide in the first Brillouin zone, having a small groove compared to the period. The closed-form expressions analytically prove the dispersionless behavior of GS.

Type
Research Paper
Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press in association with the European Microwave Association

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