Abstract

We introduce a plasmon hybridization picture to understand the optical properties of double split-ring resonator metamaterials. The analysis is based on the calculated reflectance spectra from a finite-integration time-domain algorithm. Field distributions of the double split-ring resonators at the resonant frequencies confirm the results from the plasmon hybridization analysis. We demonstrate that the plasmon hybridization is a simple and powerful tool for understanding and designing metamaterials in the near infrared and visible regime.

© 2007 Optical Society of America

Full Article  |  PDF Article
Related Articles
The origin of magnetic polarizability in metamaterials at optical frequencies - an electrodynamic approach

Carsten Rockstuhl, Thomas Zentgraf, Ekaterina Pshenay-Severin, Jörg Petschulat, Arkadi Chipouline, Jürgen Kuhl, Thomas Pertsch, Harald Giessen, and Falk Lederer
Opt. Express 15(14) 8871-8883 (2007)

Amplitude- and phase-resolved optical near fields of split-ring-resonator-based metamaterials

T. Zentgraf, J. Dorfmüller, C. Rockstuhl, C. Etrich, R. Vogelgesang, K. Kern, T. Pertsch, F. Lederer, and H. Giessen
Opt. Lett. 33(8) 848-850 (2008)

Asymmetric coupling between subradiant and superradiant plasmonic resonances and its enhanced sensing performance

Chia-Yun Chen, Ieng-Wai Un, Nyan-Hwa Tai, and Ta-Jen Yen
Opt. Express 17(17) 15372-15380 (2009)

References

  • View by:
  • |
  • |
  • |

  1. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
    [Crossref]
  2. R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
    [Crossref] [PubMed]
  3. D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
    [Crossref] [PubMed]
  4. R. Marques, F. Medina, and R. Raffi-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
    [Crossref]
  5. P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).
    [Crossref]
  6. K. Aydin, K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, “Experimental observation of true left-handed transmission peak in metamaterials,” Opt. Lett. 29, 2623–2625 (2004).
    [Crossref] [PubMed]
  7. T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
    [Crossref] [PubMed]
  8. N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
    [Crossref]
  9. N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
    [Crossref] [PubMed]
  10. M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
    [Crossref]
  11. 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]
  12. M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31, 1259–1261 (2006).
    [Crossref] [PubMed]
  13. C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
    [Crossref]
  14. T. P. Meyrath, T. Zentgraf, and H. Giessen, “Lorentz model for metamaterials: optical frequency resonance circuits,” Phys. Rev. B 75, 205102 (2007).
    [Crossref]
  15. N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
    [Crossref]
  16. W. J. Padilla, “Group theoretical description of artificial electromagnetic metamaterials,” Opt. Express 15, 1639–1646 (2007).
    [Crossref] [PubMed]
  17. C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
    [Crossref] [PubMed]
  18. H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
    [Crossref]
  19. E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
    [Crossref] [PubMed]
  20. H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
    [Crossref] [PubMed]
  21. N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).
  22. M. A. Ordal, L. L. Long, R. J. Bell, S. E. Bell, R. R. Bell, R. W. Alexander, and C. A. Ward, “Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared,” Appl. Opt. 22, 1099–1120 (1983).
    [Crossref] [PubMed]
  23. We have used ε∞=1, ωp=2π×2175 THz, and ωτ=2π×19.5 THz in the Drude model dielectric function of [22].

2007 (5)

T. P. Meyrath, T. Zentgraf, and H. Giessen, “Lorentz model for metamaterials: optical frequency resonance circuits,” Phys. Rev. B 75, 205102 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

W. J. Padilla, “Group theoretical description of artificial electromagnetic metamaterials,” Opt. Express 15, 1639–1646 (2007).
[Crossref] [PubMed]

2006 (4)

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31, 1259–1261 (2006).
[Crossref] [PubMed]

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

2005 (2)

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

2004 (4)

K. Aydin, K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, “Experimental observation of true left-handed transmission peak in metamaterials,” Opt. Lett. 29, 2623–2625 (2004).
[Crossref] [PubMed]

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]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
[Crossref]

2003 (1)

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
[Crossref] [PubMed]

2002 (2)

R. Marques, F. Medina, and R. Raffi-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).
[Crossref]

2001 (1)

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[Crossref] [PubMed]

2000 (1)

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

1999 (1)

B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[Crossref]

1983 (1)

Alexander, R. W.

Aydin, K.

Basov, D. N.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Bell, R. J.

Bell, R. R.

Bell, S. E.

Brandl, D. W.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

Economou, E. N.

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
[Crossref]

Enkrich, C.

M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31, 1259–1261 (2006).
[Crossref] [PubMed]

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]

Etrich, C.

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

Fang, N.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Fu, L.

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

Giessen, H.

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

T. P. Meyrath, T. Zentgraf, and H. Giessen, “Lorentz model for metamaterials: optical frequency resonance circuits,” Phys. Rev. B 75, 205102 (2007).
[Crossref]

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

Gundogdu, T. F.

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

Guo, H.

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

Guo, H. C.

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

Guven, K.

Halas, N. J.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
[Crossref] [PubMed]

Holden, A. J.

B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[Crossref]

Kafesaki, M.

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

K. Aydin, K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, “Experimental observation of true left-handed transmission peak in metamaterials,” Opt. Lett. 29, 2623–2625 (2004).
[Crossref] [PubMed]

N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
[Crossref]

Kaiser, S.

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

Katsarakis, N.

Klein, M. W.

Konstantinidis, G.

Koschny, T.

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
[Crossref]

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]

Kostopoulos, A.

Kuhl, J.

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

Le, F.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

Lederer, F.

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

Linden, S.

M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31, 1259–1261 (2006).
[Crossref] [PubMed]

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]

Liu, N.

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

Loa, I.

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

Long, L. L.

Markoš, P.

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).
[Crossref]

Marques, R.

R. Marques, F. Medina, and R. Raffi-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

Medina, F.

R. Marques, F. Medina, and R. Raffi-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

Meyrath, T. P.

T. P. Meyrath, T. Zentgraf, and H. Giessen, “Lorentz model for metamaterials: optical frequency resonance circuits,” Phys. Rev. B 75, 205102 (2007).
[Crossref]

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Nordlander, P.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
[Crossref] [PubMed]

Ordal, M. A.

Ozbay, E.

Padila, W. J.

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Padilla, W. J.

W. J. Padilla, “Group theoretical description of artificial electromagnetic metamaterials,” Opt. Express 15, 1639–1646 (2007).
[Crossref] [PubMed]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Penciu, R. S.

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

Pendry, B.

B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[Crossref]

Pendry, J. B.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Prodan, E.

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
[Crossref] [PubMed]

Radloff, C.

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
[Crossref] [PubMed]

Raffi-El-Idrissi, R.

R. Marques, F. Medina, and R. Raffi-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

Robbins, D. J.

B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[Crossref]

Rockstuhl, C.

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[Crossref] [PubMed]

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Schweizer, H.

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[Crossref] [PubMed]

Smith, D. R.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[Crossref] [PubMed]

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Soukoulis, C. M.

M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31, 1259–1261 (2006).
[Crossref] [PubMed]

N. Katsarakis, G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, “Magnetic response of split-ring resonators in the far-infrared frequency regime,” Opt. Lett. 30, 1348–1350 (2005).
[Crossref] [PubMed]

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
[Crossref]

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]

K. Aydin, K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, “Experimental observation of true left-handed transmission peak in metamaterials,” Opt. Lett. 29, 2623–2625 (2004).
[Crossref] [PubMed]

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).
[Crossref]

Stewart, W. J.

B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[Crossref]

Syassen, K.

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

Vier, D. C.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Wang, H.

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

Ward, C. A.

Wegener, M.

M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31, 1259–1261 (2006).
[Crossref] [PubMed]

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]

Yen, T. J.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Zentgraf, T.

T. P. Meyrath, T. Zentgraf, and H. Giessen, “Lorentz model for metamaterials: optical frequency resonance circuits,” Phys. Rev. B 75, 205102 (2007).
[Crossref]

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

C. Rockstuhl, F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, “On the reinterpretation of resonances in split-ring-resonators at normal incidence,” Opt. Express 14, 8827 (2006).
[Crossref] [PubMed]

Zhang, L.

Zhang, X.

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Zhou, J.

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]

Appl. Opt. (1)

Appl. Phys. B (1)

C. Rockstuhl, T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, “Resonances of split-ring resonator metamaterials in the near infrared,” Appl. Phys. B 84, 219–227 (2006).
[Crossref]

Appl. Phys. Lett. (1)

N. Katsarakis, T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, “Electric coupling to the magnetic resonance of split ring resonators,” Appl. Phys. Lett. 84, 2943 (2004).
[Crossref]

IEEE Trans. Microwave Theory Tech. (1)

B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
[Crossref]

J. Opt. A: Pure Appl. Opt. (1)

M. Kafesaki, T. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, “Left-handed metamaterials: detailed numerical studies of the transmission properties,” J. Opt. A: Pure Appl. Opt. 7, S12–S22 (2005).
[Crossref]

Nano Lett. (1)

H. Wang, D. W. Brandl, F. Le, P. Nordlander, and N. J. Halas, “Nanorice: a hybrid plasmonic nanostructure,” Nano Lett. 6, 827–832 (2006).
[Crossref] [PubMed]

Opt. Express (2)

Opt. Lett. (3)

Phys. Rev. B (2)

R. Marques, F. Medina, and R. Raffi-El-Idrissi, “Role of bianisotropy in negative permeability and left-handed metamaterials,” Phys. Rev. B 65, 144440 (2002).
[Crossref]

T. P. Meyrath, T. Zentgraf, and H. Giessen, “Lorentz model for metamaterials: optical frequency resonance circuits,” Phys. Rev. B 75, 205102 (2007).
[Crossref]

Phys. Rev. E (1)

P. Markoš and C. M. Soukoulis, “Numerical studies of left-handed materials and arrays of split ring resonators,” Phys. Rev. E 65, 036622 (2002).
[Crossref]

Phys. Rev. Lett. (1)

D. R. Smith, W. J. Padila, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
[Crossref] [PubMed]

Phys. Status Solidi B (2)

H. C. Guo, N. Liu, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Thickness dependence of the optical properties of split-ring resonator metamaterials,” Phys. Status Solidi B 244, 1256 (2007).
[Crossref]

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Electromagnetic resonances in single and double split-ring resonator metamaterials in the near infrared,” Phys. Status Solidi B 244, 1251 (2007).
[Crossref]

Science (4)

E. Prodan, C. Radloff, N. J. Halas, and P. Nordlander, “A hybridization model for the plasmon response of complex nanostructures,” Science 302, 419–422 (2003).
[Crossref] [PubMed]

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]

R. A. Shelby, D. R. Smith, and S. Schultz, “Experimental verification of a negative index of refraction,” Science 292, 77–79 (2001).
[Crossref] [PubMed]

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303, 1494–1496 (2004).
[Crossref] [PubMed]

Other (2)

N. Liu, H. C. Guo, L. Fu, H. Schweizer, S. Kaiser, and H. Giessen, “Plasmon hybridization in stacked cut-wire metamaterials,” Adv. Mat., in press (2007).

We have used ε∞=1, ωp=2π×2175 THz, and ωτ=2π×19.5 THz in the Drude model dielectric function of [22].

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (6)

Fig. 1.
Fig. 1.

The energy diagram describes the plasmon hybridization in a DSRR. The interaction between the plasmonic modes (|ω1〉 and |ω2〉) of its constitute outer ring and inner rings results in a new coupled mode pair: an anti-symmetric mode |ω-〉 and a symmetric mode |ω+〉.

Fig. 2.
Fig. 2.

Schematic diagram of a DSRR. t denotes the thickness of the SRR, w the width of the wire, lox (lix ) the length of the wire parallel to the gap bearing side in the outer (inner) ring, and loy (liy ) the length of the wire perpendicular to the gap bearing side in the outer (inner) ring.

Fig. 3.
Fig. 3.

Simulated reflectance spectra for DSRR (dotted blue curves) compared to the outer SRR alone (dashed red curves) and the inner SRR alone (solid black curves) for various inner-ring sizes. |ω1〉 and |ω2〉 present the fundamental plasmonic eigenmodes of the outer and inner rings alone, respectively. For DSRRs, the lower energy anti-symmetric mode and higher energy symmetric modes are denoted as |ω-〉 and |ω+〉, respectively. In the simulations, the outer-ring size (lox =410 nm, loy =380 nm, w=50 nm, t=20 nm) and the array periods (px =py =550 nm) are kept constant. The inner-ring geometry is varied from (a) lix =270 nm and liy =290 nm; (b) lix =210 nm and liy =230 nm; and (c) lix =150 nm and liy =170 nm. The corresponding structure and plasmon hybridization diagrams are shown adjacent to the spectra. The individual spectra are shifted vertically for clarity.

Fig. 4.
Fig. 4.

Calculated reflectance spectra of the DSRRs with two different inner-ring orientations: the gap bearing side of the outer and inner rings are in the opposite direction (configuration A) and in the same direction (configuration B). Resonances at lower and higher energies in configuration A (B) are denoted by |ω-〉 (|ω*-〉) and |ω+〉 (|ω*+〉), respectively. The insets show the dipole oscillations at the corresponding resonances by the plasmon hybridization analysis. The individual spectra are shifted upwards for clarity.

Fig. 5.
Fig. 5.

Simulated electric maximum peak field distribution of Ez in a plane 30 nm above the structure for resonant modes of: (a) |ω-〉, (b) |ω+〉, (c) |ω*-〉, (d) |ω*+〉, corresponding to the peaks shown in Fig. 4. The amplitudes are normalized to that of the incident light field.

Fig. 6.
Fig. 6.

Simulated magnetic maximum peak field distributions of Hz in a plane 30nm above the structure for the resonant modes of (a) |ω-〉 and (b) |ω*-〉 corresponding to the lower energy peaks shown in Fig. 4. The amplitudes are normalized to those of incident field.

Metrics