Analytical approach to low-frequency scattering and homogenisation of split ring elements

Konferenz: EuCAP 2009 - 3rd European Conference on Antennas and Propagation
23.03.2009 - 27.03.2009 in Berlin, Germany

Tagungsband: EuCAP 2009

Seiten: 3Sprache: EnglischTyp: PDF

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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)

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.