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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 12 — Jun. 11, 2007
  • pp: 7720–7729

Towards -1 effective index with one-dimensional metal-dielectric metamaterial: a quantitative analysis of the role of absorption losses

Jinlong Zhang, Haitao Jiang, Boris Gralak, Stefan Enoch, Gérard Tayeb, and Michel Lequime  »View Author Affiliations

Optics Express, Vol. 15, Issue 12, pp. 7720-7729 (2007)

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We propose a theoretical study of the optimization of one dimensional metal-dielectric metamaterials in order to approach -1 effective optical index. Taking into account actual values of dielectric constants of metal (silver) and dielectrics (HfO2, GaP), and taking advantage of the dispersion relation of Bloch modes, we get a silver/HfO2 metamaterial with suitable parameters that possesses a near −1 effective optical index for all angles of incidence at a visible wavelength for H-polarized light (i.e. the magnetic field is parallel to the interfaces). The absorption losses of materials appear to be a crucial factor that affects the effective properties of the metamaterial. We show that the losses not only decrease the transmission of the stack, but also change the negative refraction effect. Then, we propose another silver/GaP structure design that is less sensitive to losses. When considering finite thickness structures, and with adequate thickness for the terminating layers, it is possible to achieve a high transmittance of the structure. A near −1 effective index and high transmittance metal-dielectric metamaterial may pave the way to the realization of negative refraction in the visible or ultraviolet wavelength range.

© 2007 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(310.6860) Thin films : Thin films, optical properties

ToC Category:

Original Manuscript: April 20, 2007
Revised Manuscript: May 18, 2007
Manuscript Accepted: May 28, 2007
Published: June 7, 2007

Jinlong Zhang, Haitao Jiang, Boris Gralak, Stefan Enoch, Gérard Tayeb, and Michel Lequime, "Towards -1 effective index with one-dimensional metal-dielectric metamaterial: a quantitative analysis of the role of absorption losses," Opt. Express 15, 7720-7729 (2007)

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  1. V. G. Veselago, "Electrodynamics of substances with simultaneously negative electrical and magnetic permeabilities," Sov. Phys. Usp. 10, 509-517 (1968). [CrossRef]
  2. J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000). [CrossRef] [PubMed]
  3. R. A. Shelby, D. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001). [CrossRef] [PubMed]
  4. S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic response of metamaterials at 100 Terahertz," Science 306, 1351-1353 (2004). [CrossRef] [PubMed]
  5. B. Gralak, S. Enoch, and G. Tayeb, "Anomalous refractive properties of photonic crystals," J. Opt. Soc. Am. A 17, 1012-1020 (2000). [CrossRef]
  6. M. Notomi, "Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap," Phys. Rev. B 62, 10696 (2000). [CrossRef]
  7. E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, and C. M. Soukoulis, "Electromagnetic waves: Negative refraction by photonic crystals," Nature (London) 423, 604-605 (2003). [CrossRef]
  8. D. O. Melville, R. J. Blaikie, "Super-resolution imaging through a planar silver layer," Opt. Express 13, 2127-2134 (2005). [CrossRef] [PubMed]
  9. N. Fang, H. Lee, C. Sun, and X. Zhang, "Sub-Diffraction-Limited Optical Imaging with a Silver Superlens," Science 308, 534-537 (2005). [CrossRef] [PubMed]
  10. T. Taubner, D. Korobkin, Y. Urzhumov, G. Shvets, and R. Hillenbrand, "Near-field microscopy through a SiC superlens," Science 313, 1595 (2006). [CrossRef] [PubMed]
  11. S. A. Ramakrishna, J. B. Pendry, M. C. K. Wiltshire, and W. J. Stewart, "Imaging the near field," J. Mod. Opt. 50, 1419-1430 (2003).
  12. P. A. Belov and H. Yang, "Subwavelength imaging at optical frequencies using a transmission device formed by a period layered metal-dielectric structure operating in the canalization regime," Phys. Rev. B 73,113110 (2006). [CrossRef]
  13. H. Shin and S. H. Fan, "All-angle negative refraction and evanescent wave amplification using one-dimensional metallodielectric photonic crystals," Appl. Phys. Lett. 89, 151102 (2006). [CrossRef]
  14. M. Scalora, G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. de Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, "Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks," Opt. Express,  15, 508-523 (2007). [CrossRef] [PubMed]
  15. P. Yeh, A. Yariv, and C. S. Hong, "Electromagnetic propagation in periodic stratified media. I. General theory," J. Opt. Soc. Am. 67, 423-438 (1977). [CrossRef]
  16. J. A. Kong, B. L. Wu, Y. Zhang, "A unique lateral displacement of a Gaussian beam transmitted through a slab with negative permittivity and permeability," Microwave Opt. Technol. Lett. 33,136-139 (2002). [CrossRef]
  17. P. B. Johnson and R. W. Christy, "Optical constants of noble metals," Phys. Rev. B 6, 4370-4379 (1972). [CrossRef]
  18. R. Thielsch, A. Gatto, J. Heber, N. Kaiser, "A comparative study of the UV optical and structural properties of SiO2, Al2O3, and HfO2 single layers deposited by reactive evaporation, ion-assisted deposition and plasma ion-assisted deposition," Thin. Solid. Films 410, 86-93 (2002). [CrossRef]
  19. V. Kuzmiak, A. A. Maradudin, "Photonic band structures of one- and two-dimensional periodic systems with metallic components in the presence of dissipation," Phys. Rev. B 55, 7427-7444 (1996). [CrossRef]
  20. A. Tip, A. Moroz and J. M. Combes, "Band structure of absorptive photonic crystals," J. Phys. A: Math. Gen. 33, 6223-6252 (2000). [CrossRef]
  21. J.-M. Combes B. Gralak and A. Tip, "Spectral properties of absorptive photonic crystals,' in Contemporary Mathematics 339, Ed. P. Kuchment, 1-13 (2003). [CrossRef]
  22. E. D. Palik, Handbook of Optical Constants of Solids (Academic Press, New York, 1985).

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