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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 2 — Jan. 28, 2013
  • pp: 1593–1598

Complex band structure of nanostructured metal-dielectric metamaterials

Alexey Orlov, Ivan Iorsh, Pavel Belov, and Yuri Kivshar  »View Author Affiliations

Optics Express, Vol. 21, Issue 2, pp. 1593-1598 (2013)

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We study complex eigenmodes of layered metal-dielectric metamaterials. Varying losses from weak to realistic, we analyze band structure of the metamaterial and clarify effect of lossess on its intrinsic electromagnetic properties. The structure operates in a regime with infinite numbers of eigenmodes, whereas we analyze dominant ones.

© 2013 OSA

OCIS Codes
(260.2030) Physical optics : Dispersion
(160.3918) Materials : Metamaterials
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:

Original Manuscript: October 22, 2012
Revised Manuscript: December 6, 2012
Manuscript Accepted: December 18, 2012
Published: January 15, 2013

Alexey Orlov, Ivan Iorsh, Pavel Belov, and Yuri Kivshar, "Complex band structure of nanostructured metal-dielectric metamaterials," Opt. Express 21, 1593-1598 (2013)

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  1. A. A. Orlov, P. M. Voroshilov, P. A. Belov, and Y. S. Kivshar, “Engineered optical nonlocality in nanostructured metamaterials,” Phys. Rev. B84, 045424 (2011). [CrossRef]
  2. I. V. Lindell, S. A. Tretyakov, K. I. Nikoskinen, and S. Ilvonen, “BW media - media with negative parameters, capable of supporting backward waves,” Microw. Opt. Technol. Lett.31, 129133 (2001). [CrossRef]
  3. A. N. Poddubny, P. A. Belov, and Y. S. Kivshar, “Spontaneous radiation of a finite-size dipole emitter in hyperbolic media,” Phys. Rev. A84, 023807 (2011). [CrossRef]
  4. I. Iorsh, A. Poddubny, A. Orlov, P. Belov, and Y. S. Kivshar, “Spontaneous emission enhancement in metaldi-electric metamaterials,” Phys. Lett. A376, 185187 (2012). [CrossRef]
  5. J. Elser, V. A. Podolksiy, I. Salakhutdinov, and I. Avrutsky, “Nonlocal effects in effective-medium response of nanolayered metamaterials,” Appl. Phys. Lett.90, 191109 (2007). [CrossRef]
  6. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Oxford, Pergamon Press, 1964).
  7. D. Smith and D. Schurig, “Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors,” Phys. Rev. Lett.90, 077405 (2003). [CrossRef] [PubMed]
  8. M. A. Noginov, Y. A. Barnakov, G. Zhu, T. Tumkur, H. Li, and E. E. Narimanov, “Bulk photonic metamaterial with hyperbolic dispersion,” Appl. Phys. Lett.94, 151105 (2009). [CrossRef]
  9. Z. Jacob, J.-Y. Kim, G. V. Naik, A. Boltasseva, E. E. Narimanov, and V. M. Shalaev, “Engineering photonic density of states using metamaterials,” Appl. Phys. B100, 215–218 (2010). [CrossRef]
  10. A. Poddubny, P. Belov, and Y. Kivshar, “Spontaneous radiation of a finite-size dipole emitter in hyperbolic media,” Phys. Rev. A84, 023807 (2011). [CrossRef]
  11. O. Kidwai, S. V. Zhukovsky, and J. E. Sipe, “Dipole radiation near hyperbolic metamaterials: applicability of effective-medium approximation,” Opt. Lett.36, 2530–2532 (2011). [CrossRef] [PubMed]
  12. A. V. Chebykin, A. A. Orlov, A. V. Vozianova, S. I. Maslovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective medium model for multilayered metal-dielectric metamaterials,” Phys. Rev. B84, 115438 (2011). [CrossRef]
  13. A. V. Chebykin, A. A. Orlov, C. R. Simovski, Y. S. Kivshar, and P. A. Belov, “Nonlocal effective parameters of multilayered metal-dielectric metamaterials,” Phys. Rev. B86, 115420 (2012). [CrossRef]
  14. L. Shen, T.-J. Yang, and Y.-F. Chau, “Effect of internal period on the optical dispersion of indefinite-medium materials,” Phys. Rev. B77, 205124 (2008). [CrossRef]
  15. A. P. Vinogradov, A. V. Dorofeenko, and I. A. Nechpurenko, “Analysis of plasmonic bloch waves and band structures of 1d plasmonic photonic crystals,” Metamaterials4, 181–200 (2010). [CrossRef]
  16. A. Davoyan, W. Liu, A. Miroshnichenko, I. Shadrivov, Y. Kivshar, and S. Bozhevolnyi, “Mode transformation in waveguiding plasmonic structures,” Phot. Nano. Fund. Appl.9, 207–212 (2011). [CrossRef]
  17. A. A. Andreev, A. A. Mak, and N. A. Solov’ev, An Introduction to Hot Laser Plasma Physics (Huntington, NY: Nova Science Publishers, 2000).
  18. A. A. Bogdanov and R. A. Suris, “Effect of the anisotropy of a conducting layer on the dispersion law of electromagnetic waves in layered metal-dielectric structures,” JETP Lett.96, 49–55 (2012). [CrossRef]

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