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

Sten, Johan C.-E. and Sjöberg, Daniel LU (2011) In Progress In Electromagnetics Research B 35. p.187-212
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... (More)
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. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Progress In Electromagnetics Research B
volume
35
pages
187 - 212
publisher
EMW Publishing
external identifiers
  • scopus:84864699163
ISSN
1937-6472
language
English
LU publication?
yes
id
62ebbc38-436b-4559-b471-d32c35ef2c0b (old id 2199776)
alternative location
http://www.jpier.org/pierb/pier.php?paper=11090606
date added to LUP
2011-10-31 11:24:11
date last changed
2017-07-23 04:05:17
@article{62ebbc38-436b-4559-b471-d32c35ef2c0b,
  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.},
  author       = {Sten, Johan C.-E. and Sjöberg, Daniel},
  issn         = {1937-6472},
  language     = {eng},
  pages        = {187--212},
  publisher    = {EMW Publishing},
  series       = {Progress In Electromagnetics Research B},
  title        = {Low-frequency scattering analysis and homogenisation of split-ring elements},
  volume       = {35},
  year         = {2011},
}