Effective medium theory for anisotropic metamaterials

Handle URI:
http://hdl.handle.net/10754/575635
Title:
Effective medium theory for anisotropic metamaterials
Authors:
Zhang, Xiujuan ( 0000-0002-2375-3449 ) ; Wu, Ying ( 0000-0002-7919-1107 )
Abstract:
Materials with anisotropic material parameters can be utilized to fabricate many fascinating devices, such as hyperlenses, metasolids, and one-way waveguides. In this study, we analyze the effects of geometric anisotropy on a two-dimensional metamaterial composed of a rectangular array of elliptic cylinders and derive an effective medium theory for such a metamaterial. We find that it is possible to obtain a closed-form analytical solution for the anisotropic effective medium parameters, provided the aspect ratio of the lattice and the eccentricity of the elliptic cylinder satisfy certain conditions. The derived effective medium theory not only recovers the well-known Maxwell-Garnett results in the quasi-static regime, but is also valid beyond the long-wavelength limit, where the wavelength in the host medium is comparable to the size of the lattice so that previous anisotropic effective medium theories fail. Such an advance greatly broadens the applicable realm of the effective medium theory and introduces many possibilities in the design of structures with desired anisotropic material characteristics. A real sample of a recently theoretically proposed anisotropic medium, with a near-zero index to control the flux, is achieved using the derived effective medium theory, and control of the electromagnetic waves in the sample is clearly demonstrated.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Applied Mathematics and Computational Science Program; Applied Mathematics and Computational Science Program; Waves in Complex Media Research Group
Publisher:
Nature Publishing Group
Journal:
Scientific Reports
Issue Date:
20-Jan-2015
DOI:
10.1038/srep07892
Type:
Article
ISSN:
2045-2322
Sponsors:
The work described here is supported by King Abdullah University of Science and Technology. The authors would like to thank Prof. P. Sheng, Prof. Z. Q. Zhang, Prof. J. Mei, and Dr. M. Yang for stimulating discussions.
Appears in Collections:
Articles; Applied Mathematics and Computational Science Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorZhang, Xiujuanen
dc.contributor.authorWu, Yingen
dc.date.accessioned2015-08-24T08:34:42Zen
dc.date.available2015-08-24T08:34:42Zen
dc.date.issued2015-01-20en
dc.identifier.issn2045-2322en
dc.identifier.doi10.1038/srep07892en
dc.identifier.urihttp://hdl.handle.net/10754/575635en
dc.description.abstractMaterials with anisotropic material parameters can be utilized to fabricate many fascinating devices, such as hyperlenses, metasolids, and one-way waveguides. In this study, we analyze the effects of geometric anisotropy on a two-dimensional metamaterial composed of a rectangular array of elliptic cylinders and derive an effective medium theory for such a metamaterial. We find that it is possible to obtain a closed-form analytical solution for the anisotropic effective medium parameters, provided the aspect ratio of the lattice and the eccentricity of the elliptic cylinder satisfy certain conditions. The derived effective medium theory not only recovers the well-known Maxwell-Garnett results in the quasi-static regime, but is also valid beyond the long-wavelength limit, where the wavelength in the host medium is comparable to the size of the lattice so that previous anisotropic effective medium theories fail. Such an advance greatly broadens the applicable realm of the effective medium theory and introduces many possibilities in the design of structures with desired anisotropic material characteristics. A real sample of a recently theoretically proposed anisotropic medium, with a near-zero index to control the flux, is achieved using the derived effective medium theory, and control of the electromagnetic waves in the sample is clearly demonstrated.en
dc.description.sponsorshipThe work described here is supported by King Abdullah University of Science and Technology. The authors would like to thank Prof. P. Sheng, Prof. Z. Q. Zhang, Prof. J. Mei, and Dr. M. Yang for stimulating discussions.en
dc.publisherNature Publishing Groupen
dc.titleEffective medium theory for anisotropic metamaterialsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentApplied Mathematics and Computational Science Programen
dc.contributor.departmentWaves in Complex Media Research Groupen
dc.identifier.journalScientific Reportsen
kaust.authorWu, Yingen
kaust.authorZhang, Xiujuanen
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