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Resonance Properties of Metallic Ring Systems: A Single Ring

Chapter

Abstract

In 1968, Veselago proposed that a medium with simultaneously negative permittivity and permeability possesses a negative refractive index, and exhibits many unusual EM properties [1]. This proposal did not attract immediate attention, since it is well accepted that a natural material shows no magnetism at high frequencies [2]. A breakthrough appeared in 1999, when Pendry showed that a split-ring resonator (SRR) could provide magnetic responses at any desired frequency [3]. Metamaterials with negative refractive index were then successfully fabricated by combining SRRs and electric wires [4], and later the concept of metamaterial was greatly expanded to beyond negative-index materials. Many unusual EM phenomena were subsequently demonstrated based on metamaterials, such as negative refraction [4, 5, 6, 7, 8, 9, 10], super focusing [11, 12, 13, 14], and subwavelength resonant cavities [15, 16, 17].

Keywords

Resonance Mode Fourier Component Localize Electric Field Magnetic Dipole Moment Circuit Parameter 
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.

References

  1. 1.
    V.G. Veselago, Sov. Phys. Usp. 10, 509 (1968)CrossRefGoogle Scholar
  2. 2.
    L. Landau, E.M. Lifschitz, Electrodynamics of Continuous Media (Elsevier, New York, 1984)Google Scholar
  3. 3.
    J.B. Pendry, A.J. Holden, D.J. Robbins, W.J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999)CrossRefGoogle Scholar
  4. 4.
    D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, S. Schultz, Phys. Rev. Lett. 84, 4184 (2000)CrossRefGoogle Scholar
  5. 5.
    R.A. Shelby, D.R. Smith, S. Schultz, Science 292, 77 (2001)CrossRefGoogle Scholar
  6. 6.
    H.O. Moser, B.D.F. Casse, O. Wilhelmi, B.T. Saw, Phys. Rev. Lett. 94, 063901 (2005)CrossRefGoogle Scholar
  7. 7.
    G. Dolling, M. Wegener, C.M. Soukoulis, S. Linden, Opt. Lett. 32, 53 (2007)CrossRefGoogle Scholar
  8. 8.
    G. Dolling, C. Enkrich, M. Wegener, C.M. Soukoulis, S. Linden, Opt. Lett. 31, 1800 (2006)CrossRefGoogle Scholar
  9. 9.
    S. Zhang, W. Fan, N.C. Panoiu, K.J. Malloy, R.M. Osgood, S.R.J. Brueck, Phys. Rev. Lett. 95, 137404 (2005)CrossRefGoogle Scholar
  10. 10.
    V.M. Shalaev, W. Cai, U.K. Chettiar, H. Yuan, A.K. Sarychev, V.P. Drachev, A.V. Kildishev, Opt. Lett. 30, 3356 (2005)CrossRefGoogle Scholar
  11. 11.
    J.B. Pendry, Phys. Rev. Lett. 85, 3966 (2000)CrossRefGoogle Scholar
  12. 12.
    N. Fang, H. Lee, C. Sun, X. Zhang, Science 308, 534 (2005)CrossRefGoogle Scholar
  13. 13.
    A. Ono, J. Kato, S. Kawata, Phys. Rev. Lett. 95, 267407 (2005)CrossRefGoogle Scholar
  14. 14.
    P.A. Belov, Y. Hao, S. Sudhakaran, Phys. Rev. B 73, 033108 (2006)CrossRefGoogle Scholar
  15. 15.
    N. Engheta, IEEE Antennas Wireless Propag. Lett. 1, 10 (2002)CrossRefGoogle Scholar
  16. 16.
    L. Zhou, H. Q. Li, Y. Q. Qin, Z. Y. Wei, and C. T. Chan, Appl. Phys. Lett. 86 101101 (2005)Google Scholar
  17. 17.
    H. Li, J. Hao, L. Zhou, Z. Wei, L. Gong, H. Chen, C. T. Chan, Appl. Phys. Lett. 89, 104101 (2006)Google Scholar
  18. 18.
    I. Gil, J. Garcia–Garcia, J. Bonache, F. Martin, M. Sorolla, R. Marques, Electron. Lett. 40, 1347 (2004)CrossRefGoogle Scholar
  19. 19.
    K. Aydin1, I. Bulu1, K. Guven1, M. Kafesaki, C. M Soukoulis, and E. Ozbay, New J. Phys. 7, 168 (2005).Google Scholar
  20. 20.
    A. Radkovskaya, M. Shamonin, C.J. Stevens, G. Faulkner, D.J. Edwards, E. Shamonina, L. Solymar, Microwave Opt. Technol. Lett. 46, 473 (2005)CrossRefGoogle Scholar
  21. 21.
    K.A. Boulais, D.W. Rule, S. Simmons, F. Santiago, V. Gehman, K. Long, A. Rayms-Keller, Appl. Phys. Lett. 93, 043518 (2008)CrossRefGoogle Scholar
  22. 22.
    K. Aydina, E. Ozbay, J. Appl. Phys. 101, 024911 (2007)CrossRefGoogle Scholar
  23. 23.
    K. Aydin, K. Guven, N. Katsarakis, C.M. Soukoulis, E. Ozbay, Opt. Express 12, 5896 (2004)CrossRefGoogle Scholar
  24. 24.
    B. Sauviac, C.R. Simovski, S.A. Tretyakov, Electromagnetics 24, 317 (2004)CrossRefGoogle Scholar
  25. 25.
    M. Shamonin, E. Shamonina, V. Kalinin, L. Solymar, J. Appl. Phys. 95, 3778 (2004)CrossRefGoogle Scholar
  26. 26.
    R. Marqués, F. Mesa, J. Martel, F. Medina, IEEE Trans. Antennas Propag. 51, 2572 (2003)CrossRefGoogle Scholar
  27. 27.
    F. Aznar, J. Bonache, F. Martin, Appl. Phys. Lett. 92, 043512 (2008)CrossRefGoogle Scholar
  28. 28.
    V. Zhurbenko, T. Jensen, V. Krozer, P. Meincke, Microwave Opt. Technol. Lett. 50, 511 (2008)CrossRefGoogle Scholar
  29. 29.
    M. Shamonin, E. Shamonina, V. Kalinin, L. Solymar, Microwave Opt. Technol. Lett. 44, 133 (2005)CrossRefGoogle Scholar
  30. 30.
    J. García-García, F. Martín, J.D. Baena, R. Marqués, L. Jelinek, J. Appl. Phys. 98, 033103 (2005)CrossRefGoogle Scholar
  31. 31.
    J.D. Baena, R. Marques, F. Medina, J. Martel, Phys. Rev. B 69, 014402 (2004)CrossRefGoogle Scholar
  32. 32.
    R. Marques, F. Medina, R. Rafii-El-Idrissi, Phys. Rev. B 65, 144440 (2002)CrossRefGoogle Scholar
  33. 33.
    L. Zhou, S.T. Chui, Phys. Rev. B 74, 035419 (2006)CrossRefGoogle Scholar
  34. 34.
    L. Zhou, S.T. Chui, Appl. Phys. Lett. 90, 041903 (2007)CrossRefGoogle Scholar
  35. 35.
    X.Q. Huang, Y. Zhang, S.T. Chui, L. Zhou, Phys. Rev. B 77, 235105 (2008)CrossRefGoogle Scholar
  36. 36.
    S.T. Chui, Y. Zhang, L. Zhou, J. Appl. Phys. 104, 034305 (2008)CrossRefGoogle Scholar
  37. 37.
    N. Katsarakis, T. Koschny, M. Kafesaki, E.N. Economou, C.M. Soukoulis, Appl. Phys. Lett. 84, 2943 (2004)CrossRefGoogle Scholar
  38. 38.
    P. Markos, C.M. Soukoulis, Phys. Rev. E 65, 036622 (2002)CrossRefGoogle Scholar
  39. 39.
    J. Zhou, Th Koschny, M. Kafesaki, E.N. Economou, J.B. Pendry, C.M. Soukoulis, Phys. Rev. Lett. 95, 223902 (2005)CrossRefGoogle Scholar
  40. 40.
    T.J. Yen, W.J. Padilla, N. Fang, D.C. Vier, D.R. Smith, J.B. Pendry, D.N. Basov, X. Zhang, Science 303, 1494 (2004)CrossRefGoogle Scholar
  41. 41.
    S. Linden, C. Enkrich, M.n Wegener, J. Zhou, T. Koschny, C. M. Soukoulis, Science 306, 1351 (2004)Google Scholar
  42. 42.
    J. Zhou, T. Koschny, C.M. Soukoulis, Opt. Express 15, 17881 (2007)CrossRefGoogle Scholar
  43. 43.
    M.W. Klein, C. Enkrich, M. Wegener, C.M. Soukoulis, S. Linden, Opt. Lett. 31, 1259 (2006)CrossRefGoogle Scholar
  44. 44.
    E.N. Economou, Th Koschny, C.M. Soukoulis, Phys. Rev. B 77, 092401 (2008)CrossRefGoogle Scholar
  45. 45.
    Q. Zhao, L. Kang, B. Du, B. Li, J. Zhou, H. Tang, X. Liang, B. Zhang, Appl. Phys. Lett. 90, 011112 (2007)CrossRefGoogle Scholar
  46. 46.
    C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J.F. Zhou, Th Koschny, C.M. Soukoulis, Phys. Rev. Lett. 95, 203901 (2005)CrossRefGoogle Scholar
  47. 47.
    F. Bilotti, A. Toscano, L. Vegni, IEEE Trans. Antennas Propag. 55, 2258 (2007)CrossRefGoogle Scholar
  48. 48.
    A.K. Azad, A.J. Taylor, E. Smirnova, J.F. O’Hara, Appl. Phys. Lett. 92, 011119 (2008)CrossRefGoogle Scholar
  49. 49.
    D.R. Smith, D.C. Vier, N. Kroll, S. Schultz, Appl. Phys. Lett. 77, 2246 (2000)CrossRefGoogle Scholar
  50. 50.
    D.R. Smith, S. Schultz, P. Markos, C.M. Soukoulis, Phys. Rev. B 65, 195104 (2002)CrossRefGoogle Scholar
  51. 51.
    B. Popa, S.A. Cummer, Phys. Rev. B 72, 165102 (2005)CrossRefGoogle Scholar
  52. 52.
    K.B. Alicia, E. Ozbay, J. Appl. Phys. 101, 083104 (2007)CrossRefGoogle Scholar
  53. 53.
    B.E. Little, S.T. Chu, H.A. Haus, J. Foresi, J.-P. Laine, J. Lightwave Technol. 15, 998 (1997)CrossRefGoogle Scholar
  54. 54.
    R. Marques, J. Martel, F. Mesa, F. Medina, Phys. Rev. Lett. 89, 183901 (2002)CrossRefGoogle Scholar
  55. 55.
    H. Xu, Z. Wang, J. Hao, J. Dai, L. Ran, J.A. Kong, L. Zhou, Appl. Phys. Lett. 92, 041122 (2008)CrossRefGoogle Scholar
  56. 56.
    M.C.K. Wiltshire, J.B. Pendry, I.R. Young, D.J. Larkman, D.J. Gilderdale, J.V. Hajnal, Science 291, 849 (2001)CrossRefGoogle Scholar
  57. 57.
    M.C.K. Wiltshire, J.V. Hajnal, J.B. Pendry, D.J. Edwards, C.J. Stevens, Opt. Express 11, 709 (2003)CrossRefGoogle Scholar
  58. 58.
    E. Verney, B. Sauviaca, C.R. Simovski, Phys. Lett. A 331, 244 (2004)MATHCrossRefGoogle Scholar
  59. 59.
    J.D. Baena, L. Jelinek, R. Marqués, J. Zehentner, Appl. Phys. Lett. 88, 134108 (2006)CrossRefGoogle Scholar
  60. 60.
    J.D. Baena, L. Jelinek, R. Marqués, J.J. Mock, J. Gollub, D.R. Smith, Appl. Phys. Lett. 91, 191105 (2007)CrossRefGoogle Scholar
  61. 61.
    J.D. Baena, L. Jelinek, R. Marqués, Phys. Rev. B 76, 245115 (2007)CrossRefGoogle Scholar
  62. 62.
    P. Gay-Balmaz, O.J.F. Martin, Appl. Phys. Lett. 81, 939 (2002)CrossRefGoogle Scholar
  63. 63.
    Q. Zhao, L. Kang, B. Du, H. Zhao, Q. Xie, X. Huang, B. Li, J. Zhou, L. Li, Phys. Rev. Lett. 101, 027402 (2008)CrossRefGoogle Scholar
  64. 64.
    Th Koschny, L. Zhang, C.M. Soukoulis, Phys. Rev. B 71, 121103 (2005)CrossRefGoogle Scholar
  65. 65.
    J.D. Jackson, Classical Electromagnetic, 3rd edn. (Wiley, New York, 1999)Google Scholar
  66. 66.
    CONCERTO 4.0, Vector Fields Limited, England, 2005Google Scholar
  67. 67.
    See, for example, Matthews and Walker, Mathematical Physics, Benjamin, New York, 1965, pp. 50–51, Eq. (2.33)Google Scholar
  68. 68.
    Handbook of Mathematical functions by Abramowitz and Stegun Eq. (8.6.1)Google Scholar

Copyright information

© Springer-Verlag London 2013

Authors and Affiliations

  1. 1.Department of Physics and AstronomyUniversity of DelawareNewarkUSA
  2. 2.Department of PhysicsFudan UniversityShanghaiChina

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