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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 14 — Jul. 6, 2009
  • pp: 12183–12188

Multi-passband Tunneling Effect in Multilayered Epsilon-Near-Zero Metamaterials

Liyuan Liu, Chenggang Hu, Zeyu Zhao, and Xiangang Luo  »View Author Affiliations

Optics Express, Vol. 17, Issue 14, pp. 12183-12188 (2009)

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Recently, several experimental results verified the tunneling effect theory of that the electromagnetic energy can be squeezed through an ultra-narrow channel filled with epsilon-near-zero (ENZ) medium. However, the energy squeezing can be only achieved in a narrow region. Here, we present a full-wave simulation of the tunneling effect in multilayered channels full of thin ENZ metamaterials with different plasma frequencies. Thin metallic wires arrays with different radiuses are employed to form these effective ENZ media, whose plasma frequencies are different. The appearance of several passbands in the transmission curve verifies that multi-passband energy tunneling effect can be implemented by multilayer ENZ channels. There are two possible reasons for these peaks, one is the ENZ tunneling effect, and the other is the Fabry-Pérot resonance. For each transmission peak corresponding two-spatial maps of electric field are given, in order to distinguish the causes.

© 2009 OSA

OCIS Codes
(050.2230) Diffraction and gratings : Fabry-Perot
(160.0160) Materials : Materials
(230.7380) Optical devices : Waveguides, channeled
(160.3918) Materials : Metamaterials

ToC Category:

Original Manuscript: May 14, 2009
Revised Manuscript: June 29, 2009
Manuscript Accepted: June 29, 2009
Published: July 2, 2009

Liyuan Liu, Chenggang Hu, Zeyu Zhao, and Xiangang Luo, "Multi-passband tunneling effect in multilayered Epsilon-Near-Zero Metamaterials," Opt. Express 17, 12183-12188 (2009)

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  1. 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]
  2. M. G. Silveirinha and N. Engheta, “Design of matched zero-index metamaterials using nonmagnetic inclusions in epsilon-near-zero media,” Phys. Rev. B 75(7), 075119 (2007). [CrossRef]
  3. M. G. Silveirinha and N. Engheta, “Tunneling of electromagnetic energy through subwavelength channels and bends using ε-near-zero materials,” Phys. Rev. Lett. 97(15), 157403 (2006). [CrossRef]
  4. M. G. Silveirinha and N. Engheta, “Theory of supercoupling, squeezing wave energy, and field confinement in narrow channels and tight bends using ε near-zero metamaterials,” Phys. Rev. B 76(24), 245109 (2007). [CrossRef]
  5. Q. Cheng, R. Liu, D. Huang, T. J. Cui, and D. R. Smith, “Circuit verification of tunneling effect in zero permittivity medium,” Appl. Phys. Lett. 91(23), 234105 (2007). [CrossRef]
  6. R. Liu, Q. Cheng, T. Hand, J. J. Mock, T. J. Cui, S. A. Cummer, and D. R. Smith, “Experimental demonstration of electromagnetic tunneling through an epsilon-near-zero metamaterial at microwave frequencies,” Phys. Rev. Lett. 100(2), 023903 (2008). [CrossRef]
  7. B. Edwards, A. Alù, M. E. Young, M. Silveirinha, and N. Engheta, “Experimental verification of epsilon-near-zero metamaterial coupling and energy squeezing using a microwave waveguide,” Phys. Rev. Lett. 100(3), 033903 (2008). [CrossRef]
  8. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, “Extremely Low Frequency Plasmons in Metallic Mesostructures,” Phys. Rev. Lett. 76(25), 4773 (1996). [CrossRef]
  9. 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]
  10. D. R. Smith, D. C. Vier, Th. Koschny, and C. M. Soukoulis, “Electromagnetic parameter retrieval from inhomogeneous metamaterials,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 71(33 Pt 2B), 036617 (2005). [CrossRef]
  11. D. R. Smith, S. Schultz, P. Markoš, 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]
  12. M. David, Pozar, “transmission lines and waveguides,” in Microwave Engineering (John Wiley & Sons, New York, 2004).
  13. M. G. Silveirinha and C. A. Fernandes, “Homogenization of 3-D-connected and nonconnected wire metamaterials,” IEEE Trans. Microw. Theory Tech. 53(4), 1418–1430 (2005). [CrossRef]
  14. J. Hupert, “Evanescent Mode Guide Filter and Tunnel-Effect Analogy,” IEEE Trans. Circ. Syst. 15, 279–280 (1968).
  15. G. Craven, “Waveguide bandpass filters using evanescent modes,” Electron. Lett. 2(7), 251–252 (1966). [CrossRef]

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