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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 17 — Aug. 16, 2010
  • pp: 17940–17949

Fishnet Metamaterials - Rules for Refraction and Limits of Homogenization

L. Jelinek, R. Marques, and J. Machac  »View Author Affiliations

Optics Express, Vol. 18, Issue 17, pp. 17940-17949 (2010)

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The perfectly conducting stacked fishnet metamaterial is studied in this paper. The analysis is based on a combination of the mode matching method together with the generalized eigenvalue problem, and takes into account wave propagation along all three Cartesian axes. The analysis has been developed for a fishnet of square lateral periodicity and for two particular polarizations, namely TE and TM, corresponding to the two most common excitations. The 1D and 2D dispersion characteristics are calculated for both polarizations, showing that the TM waves undergo negative refraction in a narrow frequency band just below Wood’s anomaly, whereas TE polarized waves exhibit ordinary positive refraction. Finally, possible homogenization of the fishnet metamaterial is considered, showing that only for small angles of incidence and in the immediate vicinity of Wood’s anomaly can the fishnet be seen as homogenizable uniaxial medium.

© 2010 Optical Society of America

OCIS Codes
(160.1245) Materials : Artificially engineered materials
(050.2065) Diffraction and gratings : Effective medium theory
(160.3918) Materials : Metamaterials
(160.5298) Materials : Photonic crystals

ToC Category:

Original Manuscript: June 15, 2010
Revised Manuscript: July 21, 2010
Manuscript Accepted: July 26, 2010
Published: August 5, 2010

Lukas Jelinek, Ricardo Marques, and Jan Machac, "Fishnet Metamaterials - Rules for refraction and limits of homogenization," Opt. Express 18, 17940-17949 (2010)

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