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The European Physical Journal B

, Volume 79, Issue 2, pp 163–167 | Cite as

Strong dynamic magnetoelectric coupling in metamaterial

  • A. M. Shuvaev
  • S. Engelbrecht
  • M. Wunderlich
  • A. Schneider
  • A. PimenovEmail author
Article

Abstract.

Magnetoelectric susceptibility (ξ) of classical magnetoelectrics is always substantially smaller that the geometric average of the electric (χ e ) and magnetic (χ m ) susceptibilities. Materials reaching the equality ξ 2 = χ e χ m as a limiting value may thus be considered as ideal magnetoelectrics. Here we investigate the magnetoelectric susceptibility of a metamaterial built from split ring resonators both experimentally and within an equivalent circuit model. Due to a direct proportionality between electric polarization and magnetization, the magnetoelectric susceptibility of this metamaterial fulfils the equality ξ 2 = χ e χ m at least in the dynamic regime.

Keywords

Equivalent Circuit Model Split Ring Resonator Split Ring Magnetoelectric Coupling Left Bottom Panel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    T.H. O’Dell, The electrodynamics of magneto-electric media (North-Holland Publishing, Amsterdam, 1970) Google Scholar
  2. 2.
    M. Fiebig, J. Phys. D: Appl. Phys. 38, R123 (2005) CrossRefADSGoogle Scholar
  3. 3.
    N.A. Hill, J. Phys. Chem. B 104, 6694 (2000) CrossRefGoogle Scholar
  4. 4.
    W.F. Brown, R.M. Hornreich, S. Shtrikman, Phys. Rev. 168, 574 (1968) CrossRefADSGoogle Scholar
  5. 5.
    S.-W. Cheong, M. Mostovoy, Nat. Mater. 6, 13 (2007) CrossRefADSGoogle Scholar
  6. 6.
    W. Eerenstein, N.D. Mathur, J.F. Scott, Nature 442, 759 (2006) CrossRefADSGoogle Scholar
  7. 7.
    T.H.O. Dell, Phil. Mag. 8, 411 (1963) CrossRefADSGoogle Scholar
  8. 8.
    D.R. Smith, J.B. Pendry, M.C.K. Wiltshire, Science 305, 788 (2004) CrossRefADSGoogle Scholar
  9. 9.
    W.J. Padilla, D.N. Basov, D.R. Smith, Materials Today 9, 28 (2006) CrossRefGoogle Scholar
  10. 10.
    V.M. Shalaev, W. Cai, U.K. Chettiar, H.-K. Yuan, A.K. Sarychev, V.P. Drachev, A.V. Kildishev, Opt. Lett. 30, 3356 (2005) CrossRefADSGoogle Scholar
  11. 11.
    J.B. Pendry, D.R. Smith, Physics Today 57, 37 (2004) CrossRefGoogle Scholar
  12. 12.
    U. Leonhardt, Science 312, 1777 (2006) CrossRefMathSciNetADSzbMATHGoogle Scholar
  13. 13.
    J.B. Pendry, D. Schurig, D.R. Smith, Science 312, 1780 (2006) CrossRefMathSciNetADSzbMATHGoogle Scholar
  14. 14.
    J.B. Pendry, Phys. Rev. Lett. 85, 3966 (2000) CrossRefADSGoogle Scholar
  15. 15.
    A. Grbic, G.V. Eleftheriades, Phys. Rev. Lett. 92, 117403 (2004) CrossRefADSGoogle Scholar
  16. 16.
    A. Serdyukov, I. Semchenko, S. Tretyakov, A. Sihvola, Electromagnetics of bi-anisotropic materials: Theory and applications, 1st edn. (Gordon and Breach, Amsterdam, 2001) Google Scholar
  17. 17.
    M. Kuwata-Gonokami, N. Saito, Y. Ino, M. Kauranen, K. Jefimovs, T. Vallius, J. Turunen, Y. Svirko, Phys. Rev. Lett. 95, 227401 (2005) CrossRefADSGoogle Scholar
  18. 18.
    E. Plum, V.A. Fedotov, A.S. Schwanecke, N.I. Zheludev, Y. Chen, Appl. Phys. Lett. 90, 223113 (2007) CrossRefADSGoogle Scholar
  19. 19.
    M. Thiel, M. Decker, M. Deubel, M. Wegener, S. Linden, G. von Freymann, Adv. Mat. 19, 207 (2007) CrossRefGoogle Scholar
  20. 20.
    Na Liu, Hui Liu, Shining Zhu, Harald Giessen, Nat. Photon. 3, 157 (2009) CrossRefADSGoogle Scholar
  21. 21.
    J.B. Pendry, Science 306, 1353 (2004) CrossRefADSGoogle Scholar
  22. 22.
    S. Tretyakov, I. Nefedov, A. Sihvola, S. Maslovski, C. Simovski, J. Electromagn. Waves Appl. 17, 695 (2003) CrossRefGoogle Scholar
  23. 23.
    C. Monzon, D.W. Forester, Phys. Rev. Lett. 95, 123904 (2005) CrossRefADSGoogle Scholar
  24. 24.
    Shuang Zhang, Yong-Shik Park, Jensen Li, Xinchao Lu, Weili Zhang, Xiang Zhang, Phys. Rev. Lett. 102, 023901 (2009) CrossRefADSGoogle Scholar
  25. 25.
    Jiangfeng Zhou, Jianfeng Dong, Bingnan Wang, T. Koschny, M. Kafesaki, C.M. Soukoulis, Phys. Rev. B (Condensed Matter and Materials Physics) 79, 121104 (2009) CrossRefADSGoogle Scholar
  26. 26.
    E. Plum, J. Zhou, J. Dong, V.A. Fedotov, T. Koschny, C.M. Soukoulis, N.I. Zheludev, Phys. Rev. B (Condensed Matter and Materials Physics) 79, 035407 (2009) CrossRefADSGoogle Scholar
  27. 27.
    J.B. Pendry, A.J. Holden, D.J. Robbins, W.J. Stewart, IEEE Trans. Microwave Theor. Tech. 47, 2075 (1999) CrossRefADSGoogle Scholar
  28. 28.
    S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, C.M. Soukoulis, Science 306, 1351 (2004) CrossRefADSGoogle Scholar
  29. 29.
    R. Marqués, F. Medina, R. Rafii-El-Idrissi, Phys. Rev. B 65, 144440 (2002) CrossRefADSGoogle Scholar
  30. 30.
    Xudong Chen, Bae-Ian Wu, Jin Au Kong, T.M. Grzegorczyk, Phys. Rev. E 71, 046610 (2005) CrossRefADSGoogle Scholar
  31. 31.
    N. Katsarakis, T. Koschny, M. Kafesaki, E.N. Economou, C.M. Soukoulis, Appl. Phys. Lett. 84, 2943 (2004) CrossRefADSGoogle Scholar
  32. 32.
    D.R. Smith, J. Gollub, J.J. Mock, W.J. Padilla, D. Schurig, J. Appl. Phys. 100, 024507 (2006) CrossRefADSGoogle Scholar
  33. 33.
    A. Schneider, A. Shuvaev, S. Engelbrecht, S.O. Demokritov, A. Pimenov, Phys. Rev. Lett. 103, 103907 (2009) CrossRefADSGoogle Scholar
  34. 34.
    E. Plum, V.A. Fedotov, N.I. Zheludev, Appl. Phys. Lett. 93, 191911 (2008) CrossRefADSGoogle Scholar
  35. 35.
    E. Plum, X.-X. Liu, V.A. Fedotov, Y. Chen, D.P. Tsai, N.I. Zheludev, Phys. Rev. Lett. 102, 113902 (2009) CrossRefADSGoogle Scholar
  36. 36.
    G.V. Kozlov, A.A. Volkov, in Millimeter and Submillimeter Wave Spectroscopy of Solids, edited by G. Grüner (Springer, Berlin, 1998), p. 51 Google Scholar
  37. 37.
    A. Pimenov, S. Tachos, T. Rudolf, A. Loidl, D. Schrupp, M. Sing, R. Claessen, V.A.M. Brabers, Phys. Rev. B 72, 035131 (2005) CrossRefADSGoogle Scholar
  38. 38.
    L. Jelinek, R. Marqués, F. Mesa, J.D. Baena, Phys. Rev. B 77, 205110 (2008) CrossRefADSGoogle Scholar
  39. 39.
    M.I. Oksanen, S.A. Tretiakov, I.V. Lindell, J. Electromagn. Waves Appl. 4, 613 (1990) Google Scholar
  40. 40.
    D.W. Berreman, J. Opt. Soc. Am. 62, 502 (1972) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • A. M. Shuvaev
    • 1
  • S. Engelbrecht
    • 1
  • M. Wunderlich
    • 2
  • A. Schneider
    • 3
  • A. Pimenov
    • 1
    Email author
  1. 1.Institute of Solid State PhysicsVienna University of TechnologyViennaAustria
  2. 2.Experimentelle Physik IVUniversität WürzburgWürzburgGermany
  3. 3.Fachbereich 1Universität BremenBremenGermany

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