Skip to main content
Log in

Design of a Selective Filter Based on One-dimensional Superconductor Photonic Crystal

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

In this paper, we present a new design and analysis of one-dimensional superconductor photonic crystal (1D-SPC).The transmission spectrum and dispersion relation of this structure are obtained by the use of the transfer matrix method and Bloch theorem. The defective layers existence allows obtaining a new composite structure with tunable optical properties. Considering the transmission matrix of each layer, we can obtain the transmission matrix of the entire structure. The obtained results are presented in terms of the transmission spectra for both TE and TM modes. Numerical results of the effects of temperature, superconductor layer’s thickness, and incident angle on the transmission spectra are presented. We discuss the effect of defect layers inserted between 1D-SPC structure on the transmission spectra. The number of defect modes can be controlled by adjusting the number of defect layers in the structure. The proposed approach is approved by comparison of computed results with previous published data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig.2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. Sakoda, K.: Optical Properties of Photonic Crystals. Springer-Verlag, Berlin (2001)

    Book  Google Scholar 

  2. Wu, C.J., Chung, Y.H., Syu, B.J., Yang, T.J.: Band gap extension in a one-dimensional ternary metal-dielectric photonic crystal. Prog. Electromagn. Res. 102, 81–93 (2010)

    Article  Google Scholar 

  3. Kumar, V., Suthar, B., Kumar, A., Singh, K.S., Bhargava, A., Ojha, S.P.: Silicon based one-dimensional photonic crystal as a TM-mode filter. Springer science Silicon. 6, 73–78 (2014)

    Google Scholar 

  4. Shadrivov, I.V., Sukhorukov, A.A., Kivshar, Y.S.: Complete band gaps in one-dimensional left-handed periodic structures. Phys. Rev. Lett. 95, 1–4 (2005)

    Article  Google Scholar 

  5. Tang, L., Gao, L., Fang, J.: Characterization for defect modes of one-dimensional photonic crystals containing metamaterials. Chin. Opt. Lett. 6, 201–203 (2008)

    Article  Google Scholar 

  6. Aly, A. H., Ameen, A. A., Elsayed, H. A., Mohamed, S. H., Singh, M. R.: One-dimensional metallo-superconductor photonic crystals as a smart window. J. Supercond. Nov. Magn. 1–6 (2019)

  7. Lotfi, E., Jamshidi-Ghaleh, K., Moslem, F., Masalehdan, H.: Comparison of photonic crystal narrow filters with metamaterials and dielectric defects. The European Physical Journal D.60, 369–372 (2010)

    Article  ADS  Google Scholar 

  8. Gaspar, J.A.: Photonic crystal to photonic crystal surface modes: narrow-band pass filters. Opt. Express. 12, 2338–2355 (2004)

    Article  ADS  Google Scholar 

  9. Kumar, V., Suthar, B., Kumar, A., Bhargava, A.: Design of a wavelength division demultiplexer using Si-based one-dimensional photonic crystal with a defect. Elsevier, Optik.124, 2527–2530 (2013)

    Article  Google Scholar 

  10. Wu, C.J., Chen, M.S., Yang, T.J.: Photonic band structure for a superconductor dielectric superlattice. Physica C. 432, 133–139 (2005)

    Article  ADS  Google Scholar 

  11. Dai, X.Y., Xiang, Y.J., Wen, S.C.: Boad omnidirectional reflector in the one-dimensional ternary photonic crystals containing superconductor. Prog. Electromagn. Res. 120, 17–34 (2011)

    Article  Google Scholar 

  12. Ismail, M., Badawy, Z.M., Abdel-Rahman, E.: Electromagnetic wave propagation through a high temperature superconductor-dielectric photonic crystal. Arab J. Nucl. Sci. Appl. 48, 68–74 (2015)

    Google Scholar 

  13. Chang, T.W., Liu, J.W., Yang, T.J.W., J, C.: Analysis of transmission properties in a photonic quantum well containing super-conducting materials. Prog. Electromagn. Res. 140, 327–340 (2013)

    Article  Google Scholar 

  14. Pendr, J.B., Mackinnon, A.: Calculation of photon dispersion. Phys. Rev. Lett. 69, 2772–2775 (1992)

    Article  ADS  Google Scholar 

  15. Scotognella, F.: Four-material one dimensional photonic crystals. Elsevier, Opt. Mater. 34, 1610–1613 (2012)

    Article  Google Scholar 

  16. Oraizi, H., Abdolali, A.: Several theorems for reflection and transmission coefficients of plane wave incidence on planar multilayer metamaterial structures. IET Microw. Antennas Propag. 4, 1870–1879 (2010)

    Article  Google Scholar 

  17. Lee, H.M., Wu, J.C.: Transmittance spectra in one-dimensional superconductor-dielectric photonic crystal. J. Appl. Phys.107, 09E149–09E149-3 (2010)

    Article  Google Scholar 

  18. Chung-An, H., Jia-Wei, L., Wu, C.J., Tzong-Jer, Y., Su-Lin, Y.: Effects of super-conducting film on the defect mode in dielectric photonic crystal heterostructure. Solid State Commun. 157, 54–57 (2013)

    Article  ADS  Google Scholar 

  19. Aly, A.H., Sabra, W., Abdel-Rahman, E.: Investigation of the transmittance in superconducting photonic crystal, pp. 27–30. Progress in electromagnetics research symposium proceedings, KL, Malaysia (2012)

    Google Scholar 

  20. Aly, A.H.: Metallic and superconducting photonic crystal. J. Supercond. Nov. Magn. 21, 421–425 (2008)

    Article  Google Scholar 

  21. Jang, W.C.: Transmission and Reflection in a Periodic Superconductor/Dielectric Film Multilayer Structure, pp. 22–26. Progress in Electromagnetic Research Symposium 2005, Hangzhou, China (2005)

    Google Scholar 

  22. Srivastava, S.K.: Study of defect modes in 1D photonic crystal structure containing high and low-Tc superconductor as a defect layer. J. Supercond. Nov. Magn. 27, 101–114 (2014)

    Article  Google Scholar 

  23. Xiang, Y., Dai, X., Wen, S., Tang, Z., Fan, D.: Extending the zero-effective-phase photonic bandgap by one-dimensional ternary photonic crystals. Appl. Phys. B Lasers Opt. 103, 897–906 (2011)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ouarda Barkat.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mamri, B., Barkat, O. Design of a Selective Filter Based on One-dimensional Superconductor Photonic Crystal. J Supercond Nov Magn 32, 3397–3405 (2019). https://doi.org/10.1007/s10948-019-5118-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-019-5118-0

Keywords

Navigation