OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 24 — Nov. 22, 2010
  • pp: 25371–25378

Effective description of THz localized waveguide resonance through metal film with split ring resonator holes: zero refractive index

Jin-Kyu Yang, Chul Kang, Ikbu Sohn, and Chul-Sik Kee  »View Author Affiliations

Optics Express, Vol. 18, Issue 24, pp. 25371-25378 (2010)

View Full Text Article

Enhanced HTML    Acrobat PDF (1159 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Using a periodic array of split ring resonator holes within a terahertz range, we numerically and experimentally confirmed a zero refractive index at localized waveguide resonant frequency of aluminum film. The effective index was directly calculated from the phase difference of electromagnetic waves passing through film and air. Thickness-independent resonant frequency, as well as spatially static hole resonant modes, clearly verified a zero refractive index. For experimentation, we fabricated samples by means of a femtosecond laser machining system and employed a terahertz time domain spectroscopy system to measure transmitted terahertz pulses. Further, the effective index of refraction extracted from phases and amplitude of measured transmitted pulses confirmed a zero refraction index at resonant frequency.

© 2010 OSA

OCIS Codes
(240.7040) Optics at surfaces : Tunneling
(310.6628) Thin films : Subwavelength structures, nanostructures

ToC Category:
Optics at Surfaces

Original Manuscript: September 30, 2010
Revised Manuscript: November 8, 2010
Manuscript Accepted: November 11, 2010
Published: November 19, 2010

Jin-Kyu Yang, Chul Kang, Ikbu Sohn, and Chul-Sik Kee, "Effective description of THz localized waveguide resonance through metal film with split ring resonator holes: zero refractive index," Opt. Express 18, 25371-25378 (2010)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. B. Pendry, L. Martín-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science 305(5685), 847–848 (2004). [CrossRef] [PubMed]
  2. J. T. Shen, P. B. Catrysse, and S. Fan, “Mechanism for designing metallic metamaterials with a high index of refraction,” Phys. Rev. Lett. 94(19), 197401 (2005). [CrossRef] [PubMed]
  3. T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through subwavelength hole arrays,” Nature 391(6668), 667–669 (1998). [CrossRef]
  4. F. J. García-Vidal, L. Martín-Moreno, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys. 82(1), 729–787 (2010). [CrossRef]
  5. Z. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett. 96(23), 233901 (2006). [CrossRef] [PubMed]
  6. Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401 (2008). [CrossRef] [PubMed]
  7. D. R. Smith, S. Schultz, P. Markos, and C. M. Soukoulis, “Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients,” Phys. Rev. B 65(19), 195104 (2002). [CrossRef]
  8. H.-T. Chen, J. F. O’Hara, A. J. Taylor, R. D. Averitt, C. Highstrete, M. Lee, and W. J. Padilla, “Complementary planar terahertz metamaterials,” Opt. Express 15(3), 1084–1095 (2007). [CrossRef] [PubMed]
  9. T. Zentgraf, T. P. Meyrath, A. Seidel, S. Kaiser, H. Giessen, C. Rockstuhl, and F. Lederer, “Babinet's principle for optical frequency metamaterials and nanoantennas,” Phys. Rev. B 76(3), 033407 (2007). [CrossRef]
  10. J. W. Lee, M. A. Seo, J. Y. Sohn, Y. H. Ahn, D. S. Kim, S. C. Jeoung, Ch. Lienau, and Q.-H. Park, “Invisible plasmonic meta-materials through impedance matching to vacuum,” Opt. Express 13(26), 10681–10687 (2005). [CrossRef] [PubMed]
  11. J. Lee, M. Seo, D. Park, D. Kim, S. Jeoung, Ch. Lienau, Q. H. Park, and P. Planken, “Shape resonance omni-directional terahertz filters with near-unity transmittance,” Opt. Express 14(3), 1253–1259 (2006). [CrossRef] [PubMed]
  12. J. W. Lee, M. A. Seo, D. J. Park, S. C. Jeoung, Q. H. Park, Ch. Lienau, and D. S. Kim, “Terahertz transparency at Fabry-Perot resonances of periodic slit arrays in a metal plate: experiment and theory,” Opt. Express 14(26), 12637–12643 (2006). [CrossRef] [PubMed]
  13. J.-K. Yang, I.-K. Hwang, M.-K. Seo, S.-H. Kim, and Y.-H. Lee, “Plasmon-suppressed vertically-standing nanometal structures,” Opt. Express 16(3), 1951–1957 (2008). [CrossRef] [PubMed]
  14. D. Y. Smith, E. Shiles, and M. Inokuti, “Aluminum (Al)” in Handbook of Optical Constant of Solids, E. D. Palik, ed. (Academic, Orlando, Fla., 1985).
  15. G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Simultaneous negative phase and group velocity of light in a metamaterial,” Science 312(5775), 892–894 (2006). [CrossRef] [PubMed]
  16. P. Yeh, Optical Waves in Layered Media (Jhon Wesley & Sons, New Jersey, 1998).
  17. R. W. Ziolkowski, “Propagation in and scattering from a matched metamaterial having a zero index of refraction,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(4), 046608 (2004). [CrossRef] [PubMed]
  18. I.-B. Sohn, M.-J. Ko, Y.-S. Kim, and Y.-C. Noh, “Direct femtosecond laser lithography for photoresist patterning,” Opt. Eng. 48(2), 024301 (2009). [CrossRef]
  19. S.-H. Lee, S. Gee, C. Kang, and C.-S. Kee, “Terahertz Wave Transmission Properties of Metallic Periodic Structures Printed on a Photo-paper,” J. Opt. Soc. Korea 14(3), 282–285 (2010). [CrossRef]
  20. L. Duvillaret, F. Garet, and J.-L. Coutaz, “A reliable method for extraction of material parameters in terahertz time-domain spectroscopy,” IEEE J. Sel. Top. Quantum Electron. 2(3), 739–746 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited