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Averaged Transition Conditions for Electromagnetic Fields at a Metafilm



Edward Kuester, Mohamed Mohamed, Christopher L. Holloway, Melinda Picket-May


This work derives generalized sheettransition conditions (GSTCs) for the average electromagnetic fields across a surface distribution of electrically small scatterers characterized by electric and magnetic polarization densities. We cann such an arrangement of scatterers a metafilm - the two-dimensional equivalent of a metamaterial. The derivation is based on a replacement of the discrete distribution of scatterers by a continuous one, resulting in a continuous distribution of electric and magnetic polarization densities in the surface. This is done in a manner analogous to the Clausius-Mossotti-Lorentz-Lorenz procedure for determining the dielectric constant of a volume distribution of small scatterers. The result contains as special cases many perticular ones found throughout the literature. The GSTCs are expected to have wide application to the design and analysis ofantennas, reflectors and other devices where controllable scatterers are used to form a "smart" surface.
IEEE Transactions on Antennas and Propagation


generalized sheet transition conditions (GSTCs), magnetic and electric polarization densities, metafilm


Kuester, E. , Mohamed, M. , Holloway, C. and Picket-May, M. (2003), Averaged Transition Conditions for Electromagnetic Fields at a Metafilm, IEEE Transactions on Antennas and Propagation (Accessed July 12, 2024)


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Created September 30, 2003, Updated October 12, 2021