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Low-frequency scattering analysis and homogenisation of split-ring elements

In English

Författare

Summary, in English

A key structure in so-called metamaterial mediums is the elementary split-ring resonator. We consider in this paper the low-frequency electromagnetic scattering by a split-ring particle modelled as a perfectly conducting wire ring, furnished with a narrow gap, and derive analytical solutions for the electric and magnetic dipole moments for different kinds of incidence and polarisation in the quasi-static approximation. Through a vectorial homogenisation process, the expressions discovered for the dipole moments and the related polarisability dyadics are linked with the macroscopic constitutive equations for the medium. We further show that the condition for resonance of a medium consisting of simple split-rings cannot be achieved by means of the given quasi-static terms without violating the underlying assumptions of homogenisation. Nevertheless, the results are applicable for sparse medium of rings, and we derive numerical guidelines for the applicability with some examples of the effect of the considered split-ring medium on electromagnetic wave propagation.

Publiceringsår

2011

Språk

Engelska

Sidor

187-212

Publikation/Tidskrift/Serie

Progress In Electromagnetics Research B

Volym

35

Dokumenttyp

Artikel i tidskrift

Förlag

Electromagnetics Academy

Ämne

  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

Forskningsgrupp

  • Electromagnetic theory

ISBN/ISSN/Övrigt

  • ISSN: 1937-6472