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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 17 — Aug. 20, 2007
  • pp: 10935–10946

Simulations and realizations of active right-handed metamaterials with negative refractive index

Bertil Nistad and Johannes Skaar  »View Author Affiliations

Optics Express, Vol. 15, Issue 17, pp. 10935-10946 (2007)

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The theory of determining the sign of the refractive index in active materials is discussed. Animations of numerical simulations are presented, supporting the claim that negative refractive index may occur in right-handed media. An example of such a medium, in the form of a lumped circuit model with active and passive resonances, is presented.

© 2007 Optical Society of America

OCIS Codes
(160.4670) Materials : Optical materials
(160.4760) Materials : Optical properties
(260.2030) Physical optics : Dispersion
(260.2110) Physical optics : Electromagnetic optics
(350.4010) Other areas of optics : Microwaves
(260.2065) Physical optics : Effective medium theory

ToC Category:

Original Manuscript: July 9, 2007
Revised Manuscript: August 14, 2007
Manuscript Accepted: August 14, 2007
Published: August 15, 2007

Bertil Nistad and Johannes Skaar, "Simulations and realizations of active right-handed metamaterials with negative refractive index," Opt. Express 15, 10935-10946 (2007)

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  1. V. G. Veselago, "The electrodynamics of substances with simultaneously negative ε and μ," Sov. Phys. Usp. 10(4), 509-514 (1968). [CrossRef]
  2. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys.: Condens. Matter 10(22), 4785-4809 (1998). [CrossRef]
  3. J. B. Pendry, A. J. Holden, D. J. Robbins, andW. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47(11), 2075-2084 (1999). [CrossRef]
  4. 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(18), 4184-4187 (2000). [CrossRef]
  5. G. V. Eleftheriades, A. K. Iyer, and P. C. Kremer, "Planar negative refractive index media using periodically L-C loaded transmission lines," IEEE Trans. Microwave Theory Tech. 50(12), 2702-2712 (2002). [CrossRef]
  6. S. A. Ramakrishna and J. B. Pendry, "Removal of absorption and increase in resolution in a near-field lens via optical gain," Phys. Rev. B 67(20), 201101 (2003). [CrossRef]
  7. M. A. Noginov, G. Zhu, M. Bahoura, J. Adegoke, C. E. Small, B. A. Ritzo, V. P. Drachev, and V. M. Shalaev, "Enhancement of surface plasmons in an Ag aggregate by optical gain in a dielectric medium," Opt. Lett. 31, 3022 (2006). [CrossRef] [PubMed]
  8. A. K. Popov and V. M. Shalaev, "Compensating losses in negative-index metamaterials by optical parametric amplification," Opt. Lett. 31, 2169 (2006). [CrossRef] [PubMed]
  9. V. M. Shalaev, "Optical negative-index metamaterials," Nat. Photonics 1, 41-48 (2007). [CrossRef]
  10. Y.-F. Chen, P. Fischer, and F.W. Wise, "Negative refraction at optical frequencies in nonmagnetic two-component molecular media," Phys. Rev. Lett. 95(6), 067402 (2005). [CrossRef]
  11. J. Skaar, "Fresnel equations and the refractive index of active media," Phys. Rev. E 73, 026605 (2006). [CrossRef]
  12. Y.-F. Chen, P. Fischer, and F. W. Wise, "Sign of the refractive index in a gain medium with negative permittivity and permeability," J. Opt. Soc. Am. B 23, 45-50 (2006). [CrossRef]
  13. T. G. Mackay and A. Lakhtakia, "Comment on "Negative refraction at optical frequencies in nonmagnetic twocomponent molecular media," Phys. Rev. Lett. 96(15), 159701 (2006). [CrossRef]
  14. Y.-F. Chen, P. Fischer, and F.W. Wise, "Chen, Fischer, and Wise reply," Phys. Rev. Lett. 96, 159702 (2006). [CrossRef]
  15. S. A. Ramakrishna, "Comment on "Negative refraction at optical frequencies in nonmagnetic two-component molecular media"," Phys. Rev. Lett. 98(5), 059701 (2007). [CrossRef]
  16. Y.-F. Chen, P. Fischer, and F.W. Wise, "Chen, Fischer, and Wise reply," Phys. Rev. Lett. 98(5), 059702 (2007). [CrossRef]
  17. S. A. Ramakrishna and O. J. F. Martin, "Resolving the wave vector in negative refractive index media," Opt. Lett. 30, 2626 (2005). [CrossRef] [PubMed]
  18. A. N. Grigorenko, "Negative refractive index in artificial metamaterials," Opt. Lett. 31, 2483 (2006). [CrossRef] [PubMed]
  19. J. Skaar, "On resolving the refractive index and the wave vector," Opt. Lett. 31, 3372 (2006). [CrossRef] [PubMed]
  20. L. Brillouin, Wave propagation and group velocity (Academic Press, New York and London, 1960).
  21. L. D. Landau and E. M. Lifshits, Electrodynamics of continuous media, chap. IX.62 (Pergamon Press, 1960).
  22. In general, we can set © =0+ provided the refractive index is analytic in the upper half-plane and the denominator in the Fresnel equations is nonzero in the upper half-plane. Excluding media with absolute instabilities, the refractive index can always be identified as an analytic function in the upper half-plane.
  23. Poles in the upper half-plane mean that the slab will start lasing.
  24. T. Koschny, P. Markos, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, "Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials," Phys. Rev. B 71(24), 245105 (2005). [CrossRef]
  25. B. Nistad and J. Skaar, in Photonic metamaterials: From random to periodic, V. M. Shalaev and A. Genack, eds. (OSA, 2006). ISBN:1-55752-808-X.
  26. J.-S. Lee and Y.-S. Kwon, "Negative resistance circuit for monolithic resonators using gate-to-source resistive feedback," Electron. Lett. 34(18), 1758-1760 (1998). [CrossRef]
  27. L. O. Chua, J. Yu, and Y. Yu, "Bipolar-JFET-MOSFET negative resistance devices," IEEE Trans. Circuits Syst. 31(1), 46-61 (1985). [CrossRef]
  28. D. M. Pozar, Microwave engineering, chap. 4, 2nd ed. (Wiley, 1998).
  29. M. Born and E. Wolf, Principles of Optics, chap. 1.6.5, pp. 66-67, 3rd ed. (Pergamon Press, 1965).

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