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dc.contributor.authorZhang, Xiujuan
dc.contributor.authorWu, Ying
dc.date.accessioned2015-08-24T08:34:42Z
dc.date.available2015-08-24T08:34:42Z
dc.date.issued2015-01-20
dc.identifier.citationZhang, X., & Wu, Y. (2015). Effective medium theory for anisotropic metamaterials. Scientific Reports, 5(1). doi:10.1038/srep07892
dc.identifier.issn2045-2322
dc.identifier.pmid25599847
dc.identifier.doi10.1038/srep07892
dc.identifier.urihttp://hdl.handle.net/10754/575635
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.
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.
dc.publisherSpringer Nature
dc.relation.urlhttps://www.nature.com/articles/srep07892.pdf
dc.relation.urlhttps://www.nature.com/articles/srep07892.pdf
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercialShareAlike 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material
dc.rightsThis file is an open access version redistributed from: https://www.nature.com/articles/srep07892.pdf
dc.rights.urihttps://creativecommons.org/licenses/by-nc-sa/4.0
dc.titleEffective medium theory for anisotropic metamaterials
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentWaves in Complex Media Research Group
dc.identifier.journalScientific Reports
dc.eprint.versionPublisher's Version/PDF
dc.identifier.arxivid1409.0996
kaust.personWu, Ying
kaust.personZhang, Xiujuan
refterms.dateFOA2020-06-30T12:16:34Z
dc.date.published-online2015-01-20
dc.date.published-print2015-07


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This work is licensed under a Creative Commons Attribution-NonCommercialShareAlike 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder
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Except where otherwise noted, this item's license is described as This work is licensed under a Creative Commons Attribution-NonCommercialShareAlike 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material