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Resonant and antiresonant frequency dependence of the effective parameters of metamaterials
Open accessAbstract
We present a numerical study of the electromagnetic response of the metamaterial elements that are used to construct materials with negative refractive index. For an array of split ring resonators (SRR) we find that the resonant behavior of the effective magnetic permeability is accompanied by an antiresonant behavior of the effective permittivity. In addition, the imaginary parts of the effective permittivity and permeability are opposite in sign. We also observe an identical resonant versus antiresonant frequency dependence of the effective materials parameters for a periodic array of thin metallic wires with cuts placed periodically along the length of the wire, with roles of the permittivity and permeability reversed from the SRR case. We show in a simple manner that the finite unit cell size is responsible for the antiresonant behavior.
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Cites
Classical Electrodynamics, 3rd ed .
Jackson, J. D., & Fox, R. F. (1999) · American Journal of Physics · doi:10.1119/1.19136 · Cited by 3,073
Cited by
Homogenization of metamaterials by field averaging (invited paper)
Smith, D. R., & Pendry, J. B. (2006) · Journal of the Optical Society of America B · doi:10.1364/josab.23.000391 · Cited by 608
Self-citationEffective Medium Theory of Left-Handed Materials
Koschny, T., Kafesaki, M., Economou, E. N., & Soukoulis, C. M. (2004) · Physical Review Letters · doi:10.1103/physrevlett.93.107402 · Cited by 353
Self-citationLiu, R., Cui, T. J., Huang, D., Zhao, B., & Smith, D. R. (2007) · Physical Review E · doi:10.1103/physreve.76.026606 · Cited by 217
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Metadata
- Authors
- Koschny, T., Markoš, P., Smith, D. R., & Soukoulis, C. M.
- Venue
- Physical Review E
- Publisher
- American Physical Society (APS)
- Published
- 2003-12-15
- Volume
- 68
- Issue
- 6
- Pages
- 065602-065602
- ISSN
- 1063-651X (ISSN-L)
- 1095-3787
- OpenAlex
- W2083146943
- Cited by
- 467
- References
- 1
- FWCI
- 10.81
- Type
- journal article
- Language
- en
- Open access
- green
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- Koschny, T., Markoš, P., Smith, D. R., & Soukoulis, C. M. (2003). Resonant and antiresonant frequency dependence of the effective parameters of metamaterials. Physical Review E. https://doi.org/10.1103/physreve.68.065602
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