Dispersion properties of one-dimensional magnetized ferrite photonic crystals in transverse magnetization configuration for transverse magnetic modes

  • Yogesh Sharma
  • Surendra PrasadEmail author
Regular Article


The dispersion characteristics of electromagnetic wave in one-dimensional magnetized ferrite photonic crystals containing yttrium iron garnets and nickel ferrite in a unit cell is investigated for transverse magnetic mode when external magnetic field is perpendicular to the plane of wave propagation. The dispersion relation is derived using transfer matrix method based on the continuity conditions of tangential electric and magnetic field components. It is observed that dispersion properties and phase index are strongly dependent on the normalized parallel wave vector and the filling factor. At the Brewster angle, width of photonic band gap shrinks to zero. Also, the considered structure indicates its dielectric behavior for electromagnetic wave propagation.

Graphical abstract


Optical Phenomena and Photonics 


  1. 1.
    A.J. Baden Fuller et al., Ferrite at Microwave Frequency, 2nd edn. (Wiley Publication, New York, 1989) Google Scholar
  2. 2.
    D.M. Pozar et al., Microwave Engineering, 3rd edn. (Wiley Publication, New York, 2004) Google Scholar
  3. 3.
    Y.A. Vlasov, X.Z. Bo, J.C. Sturm, D.J. Norris, Nature 414, 289 (2001) ADSCrossRefGoogle Scholar
  4. 4.
    E. Yablonovitch et al., Sci. Am. 285, 46 (2001) CrossRefGoogle Scholar
  5. 5.
    M. Inoue, K. Arai, T. Fujii, M. Abe, J. Appl. Phys. 85, 5768 (1999) ADSCrossRefGoogle Scholar
  6. 6.
    M.M. Sigalas, C.M. Soukoulis, R. Biswas, K.M. Ho, Phys. Rev. A 56, 959 (1997) ADSGoogle Scholar
  7. 7.
    S. Linden, M. Decker, M. Wegener, Phys. Rev. Lett. 97, 083902 (2006) ADSCrossRefGoogle Scholar
  8. 8.
    E. Takeda, N. Todoroki, Y. Kitamoto, M. Abe, J. Appl. Phys. 87, 6782 (2000) ADSCrossRefGoogle Scholar
  9. 9.
    G. Mumcu, K. Sertel, J.L. Volakis, L. Vitebskiy, A. Figotin, IEEE Trans Antenn Propag, 53, 4026 (2005) ADSCrossRefGoogle Scholar
  10. 10.
    M.F. Ubeid, M.M. Shabat, Int. Lett. Chem., Phys. Astron. 14, 86 (2014) CrossRefGoogle Scholar
  11. 11.
    V. Dmitriev, D. Zimmer, G. portela, Micro. Opt. Technol. Lett., 58, 86 (2016) CrossRefGoogle Scholar
  12. 12.
    N. dib, A. Omar, IEEE Trans. Microw. Theory Tech. 50, 1730 (2002) ADSCrossRefGoogle Scholar
  13. 13.
    F. Fan, S.-J. Chang, C. Niu, Y. Hou, X.-H. Wang, Opt. Commun. 285, 3763 (2012) ADSCrossRefGoogle Scholar
  14. 14.
    M.M. Sigalas, C.M. Soukoulis, R. Biswas, K.M. Ho, Phys. Rev. B 56, 959 (1997) ADSCrossRefGoogle Scholar
  15. 15.
    W. Tong, J. Wang, T. Qiu, Z. Liu, W. Wang, S. Qu, in Progress In Electromagnetic Research Symposium (PIERS), Shangai, China, 8–11 August 2016 (IEEE, 2016), p. 409 Google Scholar
  16. 16.
    K. Bi, K. Huang, L.Y. Zeng, M.H. Zhou, Q.M. Wang, Y.G. Wang, M. Lei, PLoS One 10, 1 (2015) Google Scholar
  17. 17.
    L. Qing-Bo, W. Rui-Xin, Y. Yan, S. Hui-Ling, Chin. Phys. Lett. 30, 074208 (2013) ADSCrossRefGoogle Scholar
  18. 18.
    J.-X. Liu, H.-Y. Xu, Z.-K. Yang, X. Xie, Y. Zhang, H.-W. Yang, Plasmonics 12, 971 (2017) CrossRefGoogle Scholar
  19. 19.
    G. Singh, E.L. Tan, Z.N. Chen, Opt. Lett. 36, 1494 (2011) ADSCrossRefGoogle Scholar
  20. 20.
    R. Kekesi, F. Royer, D. Jamon, M.F. Blanc Mignon, E. Abou-Diwan, J. P. Chatelon, S. Neveu, E. Tombacz, Opt. Mater. Exp. 3, 935 (2013) ADSCrossRefGoogle Scholar
  21. 21.
    T.-C. King, W.-K. Kuo, T.J. Yang, T. Bian, C.-J. Wu, IEEE Photonics. J. 5, 4700110 (2013) ADSCrossRefGoogle Scholar
  22. 22.
    T.Van Duzer, C.W. Turner, Principles of Superconductive Device and Circuits, 2nd edn. (Edward Arnold Press, London, 1981) Google Scholar
  23. 23.
    J.D. Joannopoulos, P.R. Villeneuve, S. Fan, Solid State Commun. 102, 165 (1997) ADSCrossRefGoogle Scholar
  24. 24.
    J.-M. Lourtioz, in New Concepts for Nanophotonics and Nano-electronics (Comptes Rendus Physique, 2008) Vol. 9, p. 4 Google Scholar
  25. 25.
    H. Mehdian, Z. Mohammadzahery, A. Hasanbeigi, J. Phys. D.: Appl. Phys. 48, 305101 (2015) CrossRefGoogle Scholar
  26. 26.
    L. Qi, Z.Yang, F. Lan, X. Gao, Z. Shi, Phys. Plasmas 17, 042501 (2010) ADSCrossRefGoogle Scholar
  27. 27.
    H. Kato, T. Matsushita, A. Takayama, M. Egawa, K. Nishimura, M. Inoue, J. Appl. Phys. 93, 3906 (2003) ADSCrossRefGoogle Scholar
  28. 28.
    P. Yeh et al., Optical Waves in Layered Media, 1st edn. (John Wiley Interscience Publication California, California, 1988) Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Institute of SciencesBanaras Hindu UniversityVaranasiIndia

Personalised recommendations