Abstract

We demonstrate theoretically an analog of electromagnetically induced transparency (EIT) in the plasmonic metamaterial with the unit cell consisting of three parallel metallic rods. The electromagnetic mechanism for the EIT-like transmission is discussed based on our investigation of the localized surface plasmon resonances in three trirod configurations. We find that the transmission minima surrounding the transparency window on both sides correspond to two detuned magnetic resonances, which arise respectively from the antiphase plasmon couplings between a long rod and a short rod and between two short rods. A decrease of more than 10 times in the group velocity can be achieved for the trirod structure at the transparency window in the optical regime, and the EIT-like response can be well described by the theoretical model of two harmonic oscillators. This work not only reveals the EIT-like transmission in plasmonic metamaterial consisting of detuned magnetic “atoms,” but also provides further insight into the plasmons’ interactions, especially for metallic nanostructures comprising multiple metallic elements.

© 2012 Optical Society of America

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  1. S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36–42 (1997).
    [CrossRef]
  2. N. Papasimakis and N. I. Zheludev, “Metamaterial-induced transparency: sharp Fano resonances and slow light,” Opt. Photon. News 20, 22–27 (2009).
    [CrossRef]
  3. S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
    [CrossRef]
  4. N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
    [CrossRef]
  5. H. Xu, Y. Lu, Y. Lee, and B. S. Ham, “Studies of electromagnetically induced transparency in metamaterials,” Opt. Express 18, 17736–17747 (2010).
    [CrossRef]
  6. N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
    [CrossRef]
  7. N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
    [CrossRef]
  8. V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
    [CrossRef]
  9. P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
    [CrossRef]
  10. P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
    [CrossRef]
  11. Y. Ma, Z. Li, Y. Yang, R. Huang, R. Singh, S. Zhang, J. Gu, Z. Tian, J. Han, and W. Zhang, “Plasmon-induced transparency in twisted Fano terahertz metamaterials,” Opt. Mater. Express 1, 391–399 (2011).
    [CrossRef]
  12. V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80, 035104 (2009).
    [CrossRef]
  13. N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
    [CrossRef]
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  15. C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
    [CrossRef]
  16. B. Tang, L. Dai, and C. Jiang, “Electromagnetically induced transparency in hybrid plasmonic-dielectric system,” Opt. Express 19, 628–637 (2011).
    [CrossRef]
  17. R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon-induced transparency,” Phys. Rev. Lett. 104, 243902 (2010).
    [CrossRef]
  18. S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
    [CrossRef]
  19. C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband slow light metamaterial based on a double-continuum Fano resonance,” Phys. Rev. Lett. 106, 107403 (2011).
    [CrossRef]
  20. M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
    [CrossRef]
  21. A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
    [CrossRef]
  22. J. Zhou, E. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31, 3620–3622 (2006).
    [CrossRef]
  23. J. Cao, H. Liu, T. Li, S. Wang, S. Zhu, and X. Zhang, “Steering polarization of infrared light through hybridization effect in a trirod structure,” J. Opt. Soc. Am. B 26, B96–B101 (2009).
    [CrossRef]
  24. F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
    [CrossRef]
  25. V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
    [CrossRef]
  26. T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
    [CrossRef]
  27. M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
    [CrossRef]
  28. P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
    [CrossRef]

2011

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband slow light metamaterial based on a double-continuum Fano resonance,” Phys. Rev. Lett. 106, 107403 (2011).
[CrossRef]

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

B. Tang, L. Dai, and C. Jiang, “Electromagnetically induced transparency in hybrid plasmonic-dielectric system,” Opt. Express 19, 628–637 (2011).
[CrossRef]

Y. Ma, Z. Li, Y. Yang, R. Huang, R. Singh, S. Zhang, J. Gu, Z. Tian, J. Han, and W. Zhang, “Plasmon-induced transparency in twisted Fano terahertz metamaterials,” Opt. Mater. Express 1, 391–399 (2011).
[CrossRef]

2010

2009

T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
[CrossRef]

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80, 035104 (2009).
[CrossRef]

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

N. Papasimakis and N. I. Zheludev, “Metamaterial-induced transparency: sharp Fano resonances and slow light,” Opt. Photon. News 20, 22–27 (2009).
[CrossRef]

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
[CrossRef]

J. Cao, H. Liu, T. Li, S. Wang, S. Zhu, and X. Zhang, “Steering polarization of infrared light through hybridization effect in a trirod structure,” J. Opt. Soc. Am. B 26, B96–B101 (2009).
[CrossRef]

2008

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

2007

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

2006

2005

M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
[CrossRef]

1997

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36–42 (1997).
[CrossRef]

1972

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

Aizpurua, J.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

Albrektsen, O.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Alivisatos, A. P.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

Anlage, S. M.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

Barnard, E. S.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon-induced transparency,” Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Bozhevolnyi, S. I.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Brongersma, M. L.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon-induced transparency,” Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Buchwald, W. R.

Cai, W.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon-induced transparency,” Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Cao, J.

Christy, R. W.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

Crozier, K.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

Dai, L.

Davis, T. J.

A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
[CrossRef]

de Abajo, F. J. G.

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Economon, E.

Economou, E. N.

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
[CrossRef]

Evlyukhin, A. B.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Fedotov, V. A.

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Fleischhauer, M.

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Fu, Y. H.

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

Funston, A. M.

A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
[CrossRef]

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

García-Etxarri, A.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

Genov, D. A.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Giessen, H.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Gu, J.

Ham, B. S.

Han, J.

Harris, S. E.

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36–42 (1997).
[CrossRef]

Hentschel, M.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

Hillenbrand, R.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

Huang, R.

Huber, A. J.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

Jiang, C.

Johnson, P. B.

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

K’Stel, J.

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Kekatpure, R. D.

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon-induced transparency,” Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

Khanikaev, A. B.

C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband slow light metamaterial based on a double-continuum Fano resonance,” Phys. Rev. Lett. 106, 107403 (2011).
[CrossRef]

Kim, J.

Klein, M. W.

M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
[CrossRef]

Koschny, T.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
[CrossRef]

J. Zhou, E. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31, 3620–3622 (2006).
[CrossRef]

Kurter, C.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

Langguth, L.

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Lee, Y.

Li, T.

J. Cao, H. Liu, T. Li, S. Wang, S. Zhu, and X. Zhang, “Steering polarization of infrared light through hybridization effect in a trirod structure,” J. Opt. Soc. Am. B 26, B96–B101 (2009).
[CrossRef]

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

Li, Z.

Linden, S.

M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
[CrossRef]

Liu, H.

J. Cao, H. Liu, T. Li, S. Wang, S. Zhu, and X. Zhang, “Steering polarization of infrared light through hybridization effect in a trirod structure,” J. Opt. Soc. Am. B 26, B96–B101 (2009).
[CrossRef]

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

Liu, M.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Liu, N.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Liz-Marzan, L. M.

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Lu, Y.

Ma, Y.

Mulvaney, P.

A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
[CrossRef]

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Myroshnychenko, V.

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Nielsen, M. G.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Novo, C.

A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
[CrossRef]

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Oulton, R. F.

T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
[CrossRef]

Papasimakis, N.

N. Papasimakis and N. I. Zheludev, “Metamaterial-induced transparency: sharp Fano resonances and slow light,” Opt. Photon. News 20, 22–27 (2009).
[CrossRef]

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Paspalakis, E.

V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80, 035104 (2009).
[CrossRef]

Pastoriza-Santos, I.

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Pfau, T.

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Pors, A.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Prosvirnin, S. L.

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Rodriguez-Fernandez, J.

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

Rose, M.

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Schnell, M.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

Shvets, G.

C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband slow light metamaterial based on a double-continuum Fano resonance,” Phys. Rev. Lett. 106, 107403 (2011).
[CrossRef]

Singh, R.

Soref, R.

Soukoulis, C. M.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
[CrossRef]

J. Zhou, E. Economon, T. Koschny, and C. M. Soukoulis, “Unifying approach to left-handed material design,” Opt. Lett. 31, 3620–3622 (2006).
[CrossRef]

Tang, B.

Tassin, P.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
[CrossRef]

Tian, Z.

Tritschler, T.

M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
[CrossRef]

Tsai, D. P.

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

Ustinov, A. V.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

Vitanov, N. V.

V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80, 035104 (2009).
[CrossRef]

Wang, F. M.

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

Wang, S.

Wang, Y.

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Wegener, M.

M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
[CrossRef]

Weiss, T.

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Willatzen, M.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Wu, C.

C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband slow light metamaterial based on a double-continuum Fano resonance,” Phys. Rev. Lett. 106, 107403 (2011).
[CrossRef]

Xu, H.

Yang, Y.

Yannopapas, V.

V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80, 035104 (2009).
[CrossRef]

Zentgraf, T.

T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
[CrossRef]

Zhang, L.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Planar designs for electromagnetically induced transparency in metamaterials,” Opt. Express 17, 5595–5605 (2009).
[CrossRef]

Zhang, S.

Y. Ma, Z. Li, Y. Yang, R. Huang, R. Singh, S. Zhang, J. Gu, Z. Tian, J. Han, and W. Zhang, “Plasmon-induced transparency in twisted Fano terahertz metamaterials,” Opt. Mater. Express 1, 391–399 (2011).
[CrossRef]

T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Zhang, W.

Zhang, X.

T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
[CrossRef]

J. Cao, H. Liu, T. Li, S. Wang, S. Zhu, and X. Zhang, “Steering polarization of infrared light through hybridization effect in a trirod structure,” J. Opt. Soc. Am. B 26, B96–B101 (2009).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

Zheludev, N. I.

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

N. Papasimakis and N. I. Zheludev, “Metamaterial-induced transparency: sharp Fano resonances and slow light,” Opt. Photon. News 20, 22–27 (2009).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

Zhou, J.

Zhu, S.

Zhu, S. N.

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

Zhuravel, A. P.

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

Appl. Phys. Lett.

N. Papasimakis, Y. H. Fu, V. A. Fedotov, S. L. Prosvirnin, D. P. Tsai, and N. I. Zheludev, “Metamaterial with polarization and direction insensitive resonant transmission response mimicking electromagnetically induced transparency,” Appl. Phys. Lett. 94, 211902 (2009).
[CrossRef]

Chem. Soc. Rev.

V. Myroshnychenko, J. Rodriguez-Fernandez, I. Pastoriza-Santos, A. M. Funston, C. Novo, P. Mulvaney, L. M. Liz-Marzan, and F. J. G. de Abajo, “Modelling the optical response of gold nanoparticles,” Chem. Soc. Rev. 37, 1792–1805(2008).
[CrossRef]

J. Opt. Soc. Am. B

Nano Lett.

A. M. Funston, C. Novo, T. J. Davis, and P. Mulvaney, “Plasmon coupling of gold nanorods at short distances and in different geometries,” Nano Lett. 9, 1651–1658 (2009).
[CrossRef]

Nat. Mater.

N. Liu, L. Langguth, T. Weiss, J. K’Stel, M. Fleischhauer, T. Pfau, and H. Giessen, “Plasmonic analogue of electromagnetically induced transparency at the Drude damping limit,” Nat. Mater. 8, 758–762 (2009).
[CrossRef]

Nat. Photon.

M. Schnell, A. García-Etxarri, A. J. Huber, K. Crozier, J. Aizpurua, and R. Hillenbrand, “Controlling the near-field oscillations of loaded plasmonic nanoantennas,” Nat. Photon. 3, 287–291 (2009).
[CrossRef]

New J. Phys.

S. I. Bozhevolnyi, A. B. Evlyukhin, A. Pors, M. G. Nielsen, M. Willatzen, and O. Albrektsen, “Optical transparency by detuned electrical dipoles,” New J. Phys. 13, 023034 (2011).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Mater. Express

Opt. Photon. News

N. Papasimakis and N. I. Zheludev, “Metamaterial-induced transparency: sharp Fano resonances and slow light,” Opt. Photon. News 20, 22–27 (2009).
[CrossRef]

Phys. Rev. B

V. Yannopapas, E. Paspalakis, and N. V. Vitanov, “Electromagnetically induced transparency and slow light in an array of metallic nanoparticles,” Phys. Rev. B 80, 035104 (2009).
[CrossRef]

T. Zentgraf, S. Zhang, R. F. Oulton, and X. Zhang, “Ultranarrow coupling-induced transparency bands in hybrid plasmonic systems,” Phys. Rev. B 80, 195415 (2009).
[CrossRef]

M. W. Klein, T. Tritschler, M. Wegener, and S. Linden, “Lineshape of harmonic generation by metallic nanoparticles and metallic photonic crystal slabs,” Phys. Rev. B 72, 115113 (2005).
[CrossRef]

P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[CrossRef]

F. M. Wang, H. Liu, T. Li, S. N. Zhu, and X. Zhang, “Omnidirectional negative refraction with wide bandwidth introduced by magnetic coupling in a trirod structure,” Phys. Rev. B 76, 075110 (2007).
[CrossRef]

Phys. Rev. Lett.

C. Wu, A. B. Khanikaev, and G. Shvets, “Broadband slow light metamaterial based on a double-continuum Fano resonance,” Phys. Rev. Lett. 106, 107403 (2011).
[CrossRef]

C. Kurter, P. Tassin, L. Zhang, T. Koschny, A. P. Zhuravel, A. V. Ustinov, S. M. Anlage, and C. M. Soukoulis, “Classical analogue of electromagnetically induced transparency with a metal-superconductor hybrid metamaterial,” Phys. Rev. Lett. 107, 043901 (2011).
[CrossRef]

R. D. Kekatpure, E. S. Barnard, W. Cai, and M. L. Brongersma, “Phase-coupled plasmon-induced transparency,” Phys. Rev. Lett. 104, 243902 (2010).
[CrossRef]

N. Papasimakis, V. A. Fedotov, N. I. Zheludev, and S. L. Prosvirnin, “Metamaterial analog of electromagnetically induced transparency,” Phys. Rev. Lett. 101, 253903 (2008).
[CrossRef]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett. 99, 147401 (2007).
[CrossRef]

P. Tassin, L. Zhang, T. Koschny, E. N. Economou, and C. M. Soukoulis, “Low-loss metamaterials based on classical electromagnetically induced transparency,” Phys. Rev. Lett. 102, 053901 (2009).
[CrossRef]

S. Zhang, D. A. Genov, Y. Wang, M. Liu, and X. Zhang, “Plasmon-induced transparency in metamaterials,” Phys. Rev. Lett. 101, 047401 (2008).
[CrossRef]

Phys. Today

S. E. Harris, “Electromagnetically induced transparency,” Phys. Today 50, 36–42 (1997).
[CrossRef]

Science

N. Liu, M. Hentschel, T. Weiss, A. P. Alivisatos, and H. Giessen, “Three-dimensional plasmon rulers,” Science 332, 1407 (2011).
[CrossRef]

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Figures (7)

Fig. 1.
Fig. 1.

Structural schematic of the metallic trirod metamaterial. (a) Perspective view and (b) top view of the unit cell, where the structural parameters of l1, l2, l3, w, dx, dz are defined. The configurations with rod length following l1>l2=l3, l2>l1=l3, and l3>l1=l2 are denoted by structures A, B and C, respectively.

Fig. 2.
Fig. 2.

Transmission spectra of the metamaterials with the unit cell consisting of (a) rods 1 and 2, (b) rods 1 and 3, (c) rods 2 and 3, and (d) rods 1, 2, and 3, respectively. (e)–(i) Electric field distributions for five resonances denoted by arrow in (a)–(d). Here, the rod lengths are l1=230nm and l2=l3=200nm, corresponding to structure A.

Fig. 3.
Fig. 3.

Transmission spectrum (a) and electric field distributions at first two resonances (b)–(c) for structure B with rod lengths l1=l3=200nm and l2=230nm. The EIT-like transparency window is highlighted by a yellow shadow and the transmission spectra of the constituent elements (rod pairs) are shown for comparisons.

Fig. 4.
Fig. 4.

Transmission spectrum (a) and electric field distributions at resonances (b)–(c) for structure C with rod lengths l1=l2=200nm and l3=230nm. Transmission spectra of the constituent elements (rod pairs) also are shown for comparison.

Fig. 5.
Fig. 5.

Dependence of the phase advance (a) and the group index (b) of trirod metamaterials on frequency for structure A and structure B, whose transmission spectra are shown in Figs. 2(d) and 3(a).

Fig. 6.
Fig. 6.

Simulated absorbance spectra (black solid lines) and the fitting curves calculated by the two-oscillator model (red-dashed lines) for structures A (a) and B (b).

Fig. 7.
Fig. 7.

Transmission spectrum and group index for silver trirod metamaterial with structural parameters of l1=l3=100nm, l2=124nm, dx=30nm, and dz=20nm. The nanorods have a thickness of 30 nm, and a width of 40 nm.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

x¨1+γ1x˙1+ω12x1Ωc2x2=q1E
x¨2+γ2x˙2+ω22x2Ωc2x1=q2E,
P˜(ω)=NE˜0q12(ω22ω2iγ2ω)+q22(ω12ω2iγ1ω)+2q1q2Ωc2(ω12ω2iγ1ω)(ω22ω2iγ2ω)Ωc4.
α(ω)=Nω2c0ε0γ1[q1(ω22ω2)+q2Ωc2]2+γ2[q2(ω12ω2)+q1Ωc2]2+γ1γ2ω2(q12γ2+q22γ1)[(ω12ω2)(ω22ω2)ω2γ1γ2Ωc4]2+[ωγ1(ω22ω2)+ωγ2(ω12ω2)]2,
α(f)f2γ1[q1(f22f2)+q2Ωc2]2+γ2[q2(f12f2)+q1Ωc2]2+γ1γ2f2(q12γ2+q22γ1)[(f12f2)(f22f2)f2γ1γ2Ωc4]2+[fγ1(f22f2)+fγ2(f12f2)]2.

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