Low-microwave-permeability metamaterials formed by millimeter-sized metal coils

  • Huimin Zhao
  • Yao Ma
  • Lin Yan
  • Jian Xu
  • Jiangwei ChenEmail author
Original Paper


Based on the characteristics of inductance, resistance and capacitance of millimeter-sized metal single-turn (or multi-turn) coil, it is predicted that array formed by millimeter-sized metal coils with high-density distribution may hold near-zero permeability in a broadband of microwave frequency range. Simulations and experiments show that real part of relative permeability of ring-shaped array formed by copper coils is smaller than one and will decrease with the increase in either cross-sectional area or number of the coils; the imaginary part of the permeability remains small always, which is consistent with theoretical analysis. Our work may provide a convenient way to fabricate the broadband low-microwave-permeability metamaterials with low energy losses by using millimeter-sized single-turn (or multi-turn) coils.


Metal coil Array Near-zero permeability 


75.40.Gb 75.40.Mg 75.70.-i 



  1. [1]
    B Wang and K M Huang Prog. Electromag. Res. 106 107 (2010)CrossRefGoogle Scholar
  2. [2]
    N Ding, Y R He and W J Zhang Radio Eng. 45 46 (2015) (in Chinese)Google Scholar
  3. [3]
    M Silveirinha and N Engheta Phys. Rev. Lett. 97 157403 (2006)ADSCrossRefGoogle Scholar
  4. [4]
    G Lipworth, J Ensworth, K Seetharam, et al. Sci. Rep. 5 12764 (2015)ADSCrossRefGoogle Scholar
  5. [5]
    M Silveirinha and N Engheta Phys. Rev. Lett. 102 103902 (2009)ADSCrossRefGoogle Scholar
  6. [6]
    E J R Vesseur, T Coenen, H Caglayan, N Engheta and A Polman Phys. Rev. Lett. 110 013902 (2013)ADSCrossRefGoogle Scholar
  7. [7]
    D C Adams, S Inampudi, T Ribaudo, D Slocum, S Vangala, N A Kuhta, W D Goodhue, V A Podolskiy and D Wasserman Phys. Rev. Lett. 107 133901 (2011)ADSCrossRefGoogle Scholar
  8. [8]
    G V Naik, J Kim and A Boltasseva Opt. Mater. Express 1 1090 (2011)ADSCrossRefGoogle Scholar
  9. [9]
    A Sihvola Electromagnetic Mixing Formulas and Applications (Institution of Electrical Engineers) (1999)Google Scholar
  10. [10]
    A Alu and N Engheta Phys. Rev. Lett. 103 043902 (2009)ADSCrossRefGoogle Scholar
  11. [11]
    E N Economou, T Koschny and C M Soukoulis Phys. Rev. B 77 092401 (2008)ADSCrossRefGoogle Scholar
  12. [12]
    M Lapine, A K Krylova, P A Belov, C G Poulton, R C McPhedran and Y S Kivshar Phys. Rev. B 87 024408 (2013)ADSCrossRefGoogle Scholar
  13. [13]
    P A Belov, A P Slobozhanyuk, D S Filonov, I V Yagupov, P V Kapitanova, C R Simovski, M Lapine and Y S Kivshar Appl. Phys. Lett. 103 211903 (2013)ADSCrossRefGoogle Scholar
  14. [14]
    J B Pendry, A J Hoiden, D J Robbins and W J Stewart IEEE Trans. Microw. Theory 47 2075 (1999)CrossRefGoogle Scholar
  15. [15]
    C Caloz and T Itoh IEEE Trans. Antennas Propag. 52 1159 (2004)ADSCrossRefGoogle Scholar
  16. [16]
    D K Cheng, Field and Wave Electromagnetics (Beijing: Tsinghua University Press) Vol 2, Chapter 7, Section 2, p 309 (2007)Google Scholar
  17. [17]
    D W Feng J. Taiyuan Univ. Technol. 43 683 (2012) (in Chinese)Google Scholar
  18. [18]
    Introduction to the Ansoft Macro Language. Ansoft Corporation (2001)Google Scholar
  19. [19]
    A M Nicolson and G Ross IEEE Trans. Instrum. Meas. 19 377 (1970)CrossRefGoogle Scholar
  20. [20]
    D R Smith, S Schultz, P Markos and C M Soukoulis Phys. Rev. B 65 195104 (2002)ADSCrossRefGoogle Scholar
  21. [21]
    L Pan, H Zhao, B S Zhang, Z K Tao and J W Chen J. Microw. 32 82 (2016) (in Chinese)Google Scholar
  22. [22]
    R F Huang and D M Zhang IEEE Trans. Mag. 44 1703(2008)ADSCrossRefGoogle Scholar
  23. [23]
    A N Lagarkov and A K Sarycgev Phys. Rev. B 53 6318 (1996)ADSCrossRefGoogle Scholar

Copyright information

© Indian Association for the Cultivation of Science 2019

Authors and Affiliations

  • Huimin Zhao
    • 1
  • Yao Ma
    • 2
  • Lin Yan
    • 1
  • Jian Xu
    • 1
  • Jiangwei Chen
    • 1
    Email author
  1. 1.Collage of Electronic and Optical EngineeringNanjing University of Posts and TelecommunicationsNanjingPeople’s Republic of China
  2. 2.National Key Laboratory on Electromagnetic Environmental Effects and Electro-optical EngineeringArmy Engineering University of PLANanjingChina

Personalised recommendations