Skip to main content

Defect mode in periodic and quasiperiodic one-dimensional photonic structures

Abstract

The properties of one-dimensional periodic and quasiperiodic photonic crystals with a defect layer have been investigated. Transfer matrix method (TMM) has been used throughout this study. For periodic photonic crystals, results demonstrate the independence of the defect mode frequency on the defect layer while the defect mode transmission coefficient varies with the position of the defect layer position. On the other hand, defect mode frequency is not that responsive to the index of refraction of the defect layer. The quality factor of the defect mode has been studied as a function of the defect layer position as well as its thickness. For quasiperiodic photonic crystals, the frequency of the defect mode is very sensitive to the defect layer position as well as its thickness. An enhancement of the quality factor of the defect mode has been observed. This study may be valuable in designing optical devices and it may also provide a more accurate method to measure the index of refraction.

This is a preview of subscription content, access via your institution.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

References

  1. 1.

    J.W.S. Rayleigh, On the remarkable phenomenon of crystalline reflexion described by Prof. Stokes. Phil. Magn. 26, 256–265 (1888)

    Google Scholar 

  2. 2.

    E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987)

    PubMed  Article  ADS  CAS  Google Scholar 

  3. 3.

    S. John, Phys. Rev. Lett. 58, 2486 (1987)

    PubMed  Article  ADS  CAS  Google Scholar 

  4. 4.

    C.M. Soukoulis (ed.), Photonic Band Gaps and Localization, (Plenum, New York, 1993)

  5. 5.

    C.M. Soukoulis (ed.), Photonic Band Gap Materials, (Kluwer, Dordrecht, The Netherlands, 1996)

  6. 6.

    H. Pier, E. Kapon, M. Moser, Nat. London 407, 880 (2000)

    Article  ADS  CAS  Google Scholar 

  7. 7.

    S.G. Johnson, S.H. Fan, P.R. Villeneuve, J.D. Joannopoulos, L.A. Kolodziejski, Phys. Rev. B 60, 5751 (1999)

    Article  ADS  CAS  Google Scholar 

  8. 8.

    S. Olivier, M. Rattier, H. Benisty, C. Weisbuch, C.J. Smith, R.M. De La Rue, T.F. Krauss, U. Oesterle, R. Houdre, Phys. Rev. B 63, 113311 (2001)

    Article  ADS  Google Scholar 

  9. 9.

    T. Ochiai, K. Sakoda, Phys. Rev. B 64, 045108 (2001)

    Article  ADS  Google Scholar 

  10. 10.

    C.J. Jin, B.Y. Cheng, Z.L. Li, D.Z. Zhang, L.M. Li, Z.Q. Zhang, Opt. Commun. 166, 9 (1999)

    Article  ADS  CAS  Google Scholar 

  11. 11.

    Y.V. Rostovtsev, A.B. Matsko, M.O. Scully, Phys. Rev. A 57, 4919 (1998)

    Article  ADS  CAS  Google Scholar 

  12. 12.

    N.A. Nicorovici, R.C. McPhedren, L.C. Botten, Phys. Rev. E 52, 1135 (1995)

    Article  ADS  CAS  Google Scholar 

  13. 13.

    E. Lidorikis, M.M. Sigalas, E.N. Economou, C.M. Soukoulis, Phys. Rev. Lett. 81, 1405 (1998)

    Article  ADS  CAS  Google Scholar 

  14. 14.

    M. Bayindir, B. Temelkuran, E. Ozbay, Phys. Rev. Lett. 84, 2140 (2000)

    PubMed  Article  ADS  CAS  Google Scholar 

  15. 15.

    J.B. Pendry, A. Mackinnon, Phys. Rev. Lett. 69, 2772 (1992)

    PubMed  Article  ADS  CAS  Google Scholar 

  16. 16.

    N.H. Liu, S.Y. Zhu, H. Chen, X. Wu, Phys. Rev. E 65, 046607 (2002)

    Article  ADS  Google Scholar 

  17. 17.

    J. Li, L. Zhou, C.T. Chan, P. Sheng, Phys. Rev. Lett. 90, 083901 (2003)

    PubMed  Article  ADS  Google Scholar 

  18. 18.

    H.T. Jiang, H. Chen, H.Q. Li, Y.W. Zhang, S.Y. Zhu, Appl. Phys. Lett. 83, 5386 (2003)

    Article  ADS  CAS  Google Scholar 

  19. 19.

    Z.-Q. Zhang, Phys Rev. B 52, 7960 (1995)

    Article  ADS  CAS  Google Scholar 

  20. 20.

    J.O. Vasseur, B. Djafari-Rouhani, L. Dobrsynski, A. akjouj, J. Zemmouri, Phys. Rev. B 59, 13446 (1999)

    Article  ADS  CAS  Google Scholar 

  21. 21.

    R.P. Stanley, R. Houdre, U. Oesterle, M. Ilegems, Weisbuch, Phys. Rev. A 48, 2246 (1993)

    Google Scholar 

  22. 22.

    R. Wang, J. Dong, D.Y. Xing, Phys. Stat. Sol. (b) 200, 529 (1997)

    Article  ADS  CAS  Google Scholar 

  23. 23.

    I.V. Kityk, J. Ebothe, A. El Hichou, M. Addou, A. Bougrine, B. Sahraoui, J. Phys.: Condens. Matter V 14, 5407–5417 (2002)

    Article  ADS  CAS  Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to Ehab Abdel-Rahman.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Abdel-Rahman, E., Shaarawi, A. Defect mode in periodic and quasiperiodic one-dimensional photonic structures. J Mater Sci: Mater Electron 20, 153–158 (2009). https://doi.org/10.1007/s10854-007-9496-x

Download citation

Keywords

  • Refractive Index
  • Photonic Crystal
  • Defect Mode
  • Defect Layer
  • Photonic Structure