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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 11582–11593

Analytical theory of wave propagation through stacked fishnet metamaterials

R. Marqués, L. Jelinek, F. Mesa, and F. Medina  »View Author Affiliations


Optics Express, Vol. 17, Issue 14, pp. 11582-11593 (2009)
http://dx.doi.org/10.1364/OE.17.011582


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Abstract

This work analyzes the electromagnetic wave propagation through periodically stacked fishnets from zero frequency to the first Wood’s anomaly. It is shown that, apart from Fabry-Perot resonances, these structures support two transmission bands that can be backward under the appropriate conditions. The first band starts at Wood’s anomaly and is closely related to the well-known phenomena of extraordinary transmission through a single fishnet. The second band is related to the resonances of the fishnet holes. In both cases, the in-plane periodicity of the fishnet cannot be made electrically small, which prevents any attempt of homogenization of the structure along the fishnet planes. However, along the normal direction, even with very small periodicity transmission is still possible. An homogenization procedure can then be applied along this direction, thus making that the structure can behave as a backward-wave transmission line for such transmission bands. Closed-form design formulas will be provided by the analytical formulation here presented. These formulas have been carefully validated by intensive numerical computations.

© 2009 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:
Metamaterials

History
Original Manuscript: May 5, 2009
Revised Manuscript: June 17, 2009
Manuscript Accepted: June 17, 2009
Published: June 25, 2009

Citation
R. Marqués, L. Jelinek, F. Mesa, and F. Medina, "Analytical theory of wave propagation through stacked fishnet metamaterials," Opt. Express 17, 11582-11593 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-14-11582


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References

  1. S. Zhang,W. Fan, K. J. Malloy, and S. R. J. Brueck, "Near-infrared double negative metamaterials," Opt. Express 13, 4922-4930 (2005). [CrossRef] [PubMed]
  2. S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Metamaterials," Phys. Rev. Lett. 95, 137404 (2005). [CrossRef] [PubMed]
  3. M. Beruete, M. Sorolla, and I. Campillo "Left-handed extraordinary optical transmission through a photonic crystal of subwavelength hole arrays," Opt. Express 14, 5445-5455 (2006). [CrossRef] [PubMed]
  4. M. Beruete, I. Campillo, M. Navarro-Cıa, F. Falcone, and M. Sorolla "Molding left- or right-handed metamaterials by stacked cutoff metallic hole arrays," IEEE Trans. Microwave Theory Tech. 55, 1514-1521 (2007).
  5. M. Navarro-Cıa, M. Beruete, M. Sorolla, and I. Campillo, "Negative refraction in a prism made of stacked subwavelength hole arrays," Opt. Express 16, 560-566 (2008). [CrossRef] [PubMed]
  6. G. Dolling, Ch. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden "Low-loss negative-index metamaterial at telecommunication wavelengths," Opt. Lett. 31, 1800-1802 (2005). [CrossRef]
  7. J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, "Three-dimensional optical metamaterial with a negative refractive index," Nature (London) 455, 299-300 (2008). [CrossRef]
  8. G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780 nm wavelength," Opt. Lett. 32, 53-55 (2007). [CrossRef]
  9. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, "Extraordinary optical transmission through sub-wavelength hole arrays," Nature (London) 391, 667-669 (1998). [CrossRef]
  10. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000). [CrossRef] [PubMed]
  11. A. Mary, S. G. Rodrigo, F. J. Garcia-Vidal, and L. Martin-Moreno, "Theory of negative-refractive-index response of double-fishnet structures," Phys. Rev. Lett. 101, 103902 (2008). [CrossRef] [PubMed]
  12. F. Medina, F. Mesa, and R. Marques, "Extraordinary transmission through arrays of electrically small holes from a circuit theory perspective," IEEE Trans. Microwave Theory Tech. 56, 3108-3120 (2008). [CrossRef]
  13. R. Marques, F. Mesa, L. Jelinek, and F. Medina "Analytical theory of extraordinary transmission through metallic diffraction screens perforated by small holes," Opt. Express 17, 5571-5579 (2009) [CrossRef] [PubMed]
  14. J. D. Jackson, Classical Electrodynamics, (Wiley, New York 1999), 3rd Ed.
  15. R. Gordon, "Bethe’s aperture theory for arrays," Phys. Rev. A 76, 053806 (2007). [CrossRef]
  16. R. F. CollinField Theory of Guided Waves, (IEEE Press, New York 1991), 2nd Ed.,
  17. S. Ramo, J. R. Whinnery, and T. Van Duzer, Fields and Waves in Communication Electronics, (Wiley, New York 1994), 3rd Ed., pp. 263-264.
  18. G. V. Eleftheriades, O. Siddiqui, and A. K. Iyer, "Transmission line models for negative refractive index media and associated implementations without excess resonators," IEEE Microwave Wirel. Compon. Lett. 13, 51-53 (2003). [CrossRef]

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