Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

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



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


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.
IEEE Transactions on Antennas and Propagation


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


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], (Accessed May 27, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created October 26, 2012, Updated January 27, 2020