Use of Generalized Sheet Transition Conditions to Model Guided Waves on Metasurfaces/Metafilms

Published

October 26, 2012

Author(s)

Christopher L. Holloway, Derik Love, Joshua A. Gordon, David A. Hill, Edward E. Kuester

Abstract

In this paper we use generalized sheet transition conditions (GSTCs) to investigate the existence of surface waves on a metasurface (also referred to as a metafilm). A metasurface is the two-dimensional equivalent of a metamaterial, and is essentially a surface distribution of electrically small scatterers characterized by electric and magnetic surface susceptibilities. In this work, both an electric and magnetic line current are investigated. The characteristics of the surface waves for both these polarizations are expressed in terms of the electric and magnetic surface susceptibilities of the metasurface (which are directly related to the electric and magnetic polarizabilities of the scatterers composing the surface). We will show that the surface waves can have unique behaviors for judicious choices of the scatterers in the metasurface. These types of behaviors of the surface waves are not found in classical interface situations, for example, unlike conventual slab geometries, three independent surface waves can be excited simultaneously on the metasurface, which is a direct result of the unique properties of engineered scatterers. In order to validate the predictions presented here, we show numerical results for a magnetic-line source placed above a metasurface composed of spherical particles.

Citation

IEEE Transactions on Antennas and Propagation

Volume

60

Issue

11

Pub Type

Journals

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DOI Link

Keywords

Metafilm, metasurface, metamaterials, surface waves, polarizability density, surface susceptibility, generalized transition boundary condition

Citation

Holloway, C. , Love, D. , Gordon, J. , Hill, D. and Kuester, E. (2012), Use of Generalized Sheet Transition Conditions to Model Guided Waves on Metasurfaces/Metafilms, IEEE Transactions on Antennas and Propagation, [online], https://doi.org/10.1109/TAP.2012.2207668 (Accessed October 7, 2025)