Skip to main content
SpringerLink
Log in

Interference of additional modes in spectra of opal-like photonic crystals in the multiple diffraction regime

  • Proceedings of the All-Russian Conference with Elements of the Scientific School for the Youth “opal-Like Structures” (St. Petersburg, Russia, May 12–14, 2010)
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The mechanisms of formation of Bragg reflectance and transmittance spectra have been investigated for films of three-dimensional opal-like photonic crystals. Attention has been drawn to the fact that the spectra exhibit an additional short-period interference structure of the novel type due to the multiple Bragg diffraction of light. The spectra have been calculated in the framework of the dynamical three-wave diffraction model taking into account strong spatial modulation of the dielectric function. It has been found that short-period oscillations appear in the spectra due to the spatial quantization of additional modes with a low group velocity.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. E. Yablonovitch and T. J. Gmitter, Phys. Rev. Lett. 63, 1950 (1989).

    Article  ADS  Google Scholar 

  4. V. Mizeikis, S. Juodkazis, A. Marcinkevičius, S. Matsuo, and H. Misawa, J. Photochem. Photobiol., C 2, 35 (2001).

    Article  Google Scholar 

  5. C. López, Adv. Mater. (Weinheim) 15, 1679 (2003).

    Article  Google Scholar 

  6. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University Press, Princeton, New Jersey, United States, 2008).

    MATH  Google Scholar 

  7. K. Sakoda, in Springer Series in Optical Sciences, Vol. 80: Optical Properties of Photonic Crystals, 2nd ed. (Springer, Berlin, 2005).

    Google Scholar 

  8. H. M. van Driel and W. L. Vos, Phys. Rev. B: Condens. Matter 62, 9872 (2000).

    Article  ADS  Google Scholar 

  9. S. G. Romanov, T. Maka, C. M. Sotomayor-Torrès, M. Müller, R. Zentel, D. Cassagne, J. Manzanares-MartÍnez, and C. Jouanin, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 63, 056603 (2001).

    Article  ADS  Google Scholar 

  10. J. F. Galisteo-López, E. Palacios-Lidón, E. Castillo-Martínez, and C. López, Phys. Rev. B: Condens. Matter 68, 115109 (2003).

    Article  ADS  Google Scholar 

  11. A. Tikhonov, J. Bohn, and S. A. Asher, Phys. Rev. B: Condens. Matter 80, 235125 (2009).

    Article  ADS  Google Scholar 

  12. A. V. Baryshev, A. B. Khanikaev, H. Uchida, M. Inoue, and M. F. Limonov, Phys. Rev. B: Condens. Matter 73, 033103 (2006).

    Article  ADS  Google Scholar 

  13. A. V. Baryshev, A. B. Khanikaev, R. Fujikawa, H. Uchida, and M. Inoue, Phys. Rev. B: Condens. Matter 76, 014305 (2007).

    Article  ADS  Google Scholar 

  14. B. W. Batterman and H. Cole, Rev. Mod. Phys. 36, 681 (1964).

    Article  MathSciNet  ADS  Google Scholar 

  15. S.-L. Chang, in Springer Series in Solid-State Sciences, Vol. 50: Multiple Diffraction of X-Rays in Crystals (Springer, Berlin, 1984).

    Google Scholar 

  16. A. V. Sel’kin, in Proceedings of the 12th International Symposium “Nanostructures: Physics and Technology,” St. Petersburg, Russia, June 21–25, 2004 (St. Petersburg, 2004), p. 111.

  17. V. G. Fedotov, A. V. Sel’kin, A. Yu. Men’shikova, N. N. Shevchenko, and A. V. Yakimanskiy, in Proceedings of the 17th International Symposium “Nanostructures: Physics and Technology,” Minsk, Belarus, June 22–26, 2009 (Minsk, 2009), p. 109.

  18. K. B. Samusev, G. N. Yushin, M. V. Rybin, and M. F. Limonov, Fiz. Tverd. Tela (St. Petersburg) 50(7), 1230 (2008) [Phys. Solid State 50 (7), 1280 (2008)].

    Google Scholar 

  19. A. V. Baryshev, A. B. Khanikaev, M. Inoue, P. B. Lim, A. V. Sel’kin, G. Yushin, and M. F. Limonov, Phys. Rev. Lett. 99, 063906 (2007).

    Article  ADS  Google Scholar 

  20. A. V. Baryshev, A. A. Kaplyanskii, V. A. Kosobukin, K. B. Samusev, D. E. Usvyat, and M. F. Limonov, Phys. Rev. B: Condens. Matter 70, 113104 (2004).

    Article  ADS  Google Scholar 

  21. A. G. Bazhenova, A. V. Sel’kin, A. Yu. Men’shikova, and N. N. Shevchenko, Fiz. Tverd. Tela (St. Petersburg) 49(11), 2010 (2007) [Phys. Solid State 49 (11), 2109 (2007)].

    Google Scholar 

  22. V. M. Agranovich and V. L. Ginzburg, Spatial Dispersion in Crystal Optics and the Theory of Excitons (Nauka, Moscow, 1965; Wiley, New York, 1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Saint Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia

    V. G. Fedotov & A. V. Sel’kin

  2. Ioffe Physical-Technical Institute, Russian Academy of Sciences, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia

    V. G. Fedotov & A. V. Sel’kin

Authors
  1. V. G. Fedotov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Sel’kin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. G. Fedotov.

Additional information

Original Russian Text © V.G. Fedotov, A.V. Sel’kin, 2011, published in Fizika Tverdogo Tela, 2011, Vol. 53, No. 6, pp. 1077–1080.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fedotov, V.G., Sel’kin, A.V. Interference of additional modes in spectra of opal-like photonic crystals in the multiple diffraction regime. Phys. Solid State 53, 1140–1144 (2011). https://doi.org/10.1134/S1063783411060102

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783411060102

Keywords

Search

Navigation