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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Autoren:
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)

Inhalt:
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.