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Phys. Rev. Lett. 101, 267401 (2008) [4 pages]

From Scattering Parameters to Snell’s Law: A Subwavelength Near-Infrared Negative-Index Metamaterial

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Xuhuai Zhang1, Marcelo Davanço1, Yaroslav Urzhumov2, Gennady Shvets2, and Stephen R. Forrest1,3
1Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
2Department of Physics, University of Texas, Austin, Texas 78712-0264, USA
3Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, Michigan 48109-2122, USA

Received 5 June 2008; revised 18 November 2008; published 22 December 2008

A general relation is derived between the band structure of an arbitrary low-loss unit cell and its effective index of refraction. In addition, we determine the maximum unit cell size that defines the “metamaterial regime” [ D. R. Smith et al. Phys. Rev. E 71 036617 (2005)]. Furthermore, these general rules allow for the design of a subwavelength near-infrared negative-index material, where the negative refractive index is verified by band calculations to be a bulk property. Full-wavelength simulations of prisms consisting of these unit cells suggest behavior consistent with Snell’s law in the negative-index regime.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.267401
DOI:
10.1103/PhysRevLett.101.267401
PACS:
78.20.Ci, 73.20.Mf, 75.50.Cc, 78.20.Bh