Analytical approach to low-frequency scattering and homogenisation of split ring elements
Conference: EuCAP 2009 - 3rd European Conference on Antennas and Propagation
03/23/2009 - 03/27/2009 at Berlin, Germany
Proceedings: EuCAP 2009
Pages: 3Language: englishTyp: PDF
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Authors:
Sten, Johan C.-E. (Technical Research Centre of Finland, 02044 VTT Espoo, Finland)
Sjöberg, Daniel (Department of Electrical and Information Technology, Lund University, P.O. Box 118, 221 00 Lund, Sweden)
Abstract:
The elementary split ring resonator is a key structure in so-called “metamaterial” mediums. In this presentation, low-frequency electromagnetic scattering by a split ring, modelled as a perfectly conducting wire ring furnished with a narrow gap, is presented and analytical results are given for the electric and magnetic dipole moments for different kinds of incidence and polarisation in the quasi-static approximation. Through the process of homogenisation, the expressions discovered for the dipole moments and the related polarisation dyadics are linked with the macroscopic constitutive equations for the medium.