Abstract
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.
Original language | English |
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Pages (from-to) | 187-212 |
Journal | Progress In Electromagnetics Research B |
Volume | 35 |
DOIs | |
Publication status | Published - 2011 |
MoE publication type | A1 Journal article-refereed |