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Electric toroidal dipole response in split-ring resonator metamaterials

  • L. Y. Guo
  • M. H. Li
  • Q. W. Ye
  • B. X. Xiao
  • H. L. YangEmail author
Regular Article

Abstract

Toroidal dipoles are usually masked by other stronger effects of classical electric and magnetic multipoles, such as dipoles, quadrupoles, octupoles and so forth. So observation of the toroidal response is extremely rare. For the first time we present an electric toroidal dipole model based on metamaterials, which is composed of split-ring resonators. The transmission and reflection spectra show that there are two resonances at the frequency of 5.0 GHz and 11.2 GHz. Calculated radiated power dispersion for various multipole moments derived from the current density proved that these two resonances are electric dipole response and elusive electric toroidal dipole response respectively. Our experimental evidence of electric toroidal dipole response brings attentions to the often ignored toroidal multipoles.

Keywords

Solid State and Materials 

References

  1. 1.
    I.B. Zel’dovich, Sov. Phys. JETP 6, 1184 (1958)ADSGoogle Scholar
  2. 2.
    V.M. Dubovik, V.V. Tugushev, Phys. Rep. 187, 145 (1990) ADSCrossRefGoogle Scholar
  3. 3.
    N.V. Hud, I.D. Vilfan, Annu. Rev. Biophys. Biomol. Struct. 34, 295 (2005)CrossRefGoogle Scholar
  4. 4.
    M.M. Hingorani, M. O’Donnell, Nat. Rev. Mol. Cell Biol. 1, 22 (2000)CrossRefGoogle Scholar
  5. 5.
    A. Ceulemans, L.F. Chibotaru, P.W. Fowler, Phys. Rev. Lett. 80, 1861 (1998) ADSCrossRefGoogle Scholar
  6. 6.
    I.I. Naumov, L. Bellaiche, H.X. Fu, Nature 432, 737 (2004) ADSCrossRefGoogle Scholar
  7. 7.
    M. Fiebig, J. Phys. D 38, R123 (2005) ADSCrossRefGoogle Scholar
  8. 8.
    T. Arima, J.-H. Jung, M. Matsubara, M. Kubota, J.-P. He, Y. Kaneko, Y. Tokura, J. Phys. Soc. Jpn 74, 1419 (2005) ADSCrossRefGoogle Scholar
  9. 9.
    K. Sawada, N. Nagaosa, Phys. Rev. Lett. 95, 237402 (2005) ADSCrossRefGoogle Scholar
  10. 10.
    B.B. Van Aken, J.-P. Rivera, H. Schmid, M. Fiebig, Nature 449, 702 (2007) ADSCrossRefGoogle Scholar
  11. 11.
    S. Prosandeev, I. Ponomareva, I. Kornev, I. Naumov, L. Bellaiche, Phys. Rev. Lett. 96, 237601 (2006) ADSCrossRefGoogle Scholar
  12. 12.
    M. Klaui, C.A.F. Vaz, L.L. Diaz, J.A.C. Bland, J. Phys.: Condens. Matter 15, R985 (2003) ADSCrossRefGoogle Scholar
  13. 13.
    A. Soncini, L.F. Chibotaru, Phys. Rev. B 77, 220406 (2008) ADSCrossRefGoogle Scholar
  14. 14.
    L.F. Chibotaru, L. Ungur, A. Soncini, Ang. Chem. Int. Ed. 47, 4126 (2008) CrossRefGoogle Scholar
  15. 15.
    J. Luzon, K. Bernot, I.J. Hewitt, C.E. Anson, A.K. Powell, R. Sessoli, Phys. Rev. Lett. 100, 247205 (2008) ADSCrossRefGoogle Scholar
  16. 16.
    A.K. Zvezdin, V.V. Kostyuchenko, A.I. Popov, A.F. Popkov, A. Ceulemans, Phys. Rev. B 80, 172404 (2009) ADSCrossRefGoogle Scholar
  17. 17.
    A.B. Harris, Phys. Rev. B 82, 184401 (2010) ADSCrossRefGoogle Scholar
  18. 18.
    V.A. Fedotov, K. Marinov, A.D. Boardman, N.I. Zheludev, New J. Phys. 9, 95 (2007)ADSCrossRefGoogle Scholar
  19. 19.
    S. Alborghetti, E. Puppin, M. Brenna, E. Pinotti, P. Zanni, J.M.D. Coey, New J. Phys. 10, 063019 (2008) ADSCrossRefGoogle Scholar
  20. 20.
    C. Ederer, N.A. Spaldin, Phys. Rev. B 76, 214404 (2007) ADSCrossRefGoogle Scholar
  21. 21.
    Yu.F. Popov, A.M. Kadomtseva, G.P. Vorobev, V.A. Timofeeva, D.M. Ustinin, A.K. Zvezdin, M.M. Tegeranchi, JETP 87, 146 (1998)ADSCrossRefGoogle Scholar
  22. 22.
    Yu.F. Popov, A.M. Kadomtseva, D.V. Belov, G.P. Vorobev, A.K. Zvezdin, JETP Lett. 69, 330 (1999)ADSCrossRefGoogle Scholar
  23. 23.
    V. Ermolov, T. Lindstrom, H. Nieminen, M. Olsson, M. Read, T. Ryhanen, S. Silanto, S. Uhrberg, IEEE Trans. Microw. Theory Tech. 52, 29 (2004)ADSCrossRefGoogle Scholar
  24. 24.
    N. Papasimakis, V.A. Fedotov, K. Marinov, N.I. Zheludev, Phys. Rev. Lett. 103, 093901 (2009) ADSCrossRefGoogle Scholar
  25. 25.
    T. Kaelberer, V.A. Fedotov, N. Papasimakis, D.P. Tsai, N.I. Zheludev, Science 330, 1510 (2010) ADSCrossRefGoogle Scholar
  26. 26.
    Y.-W. Huang, W.T. Chen, P.C. Wu, V. Fedotov, V. Savinov, Y.Z. Ho, Y.-F. Chau, N.I. Zheludev, D.P. Tsai, Opt. Expr. 20, 1760 (2012) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • L. Y. Guo
    • 1
  • M. H. Li
    • 1
  • Q. W. Ye
    • 1
  • B. X. Xiao
    • 2
  • H. L. Yang
    • 1
    Email author
  1. 1.College of Physical Science and TechnologyCentral China Normal UniversityWuhanHubei, P.R. China
  2. 2.Engineering Geophysical Research CenterYangtze UniversityHubeiP.R. China

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