Skip to main content
Log in

Localized electromagnetic eigenmodes in three-dimensional metallic photonic fractals

  • Charles M. Bowden Memorial Issue
  • Published:
Laser Physics

Abstract

The existence of localized electromagnetic eigenmodes in a three-dimensional metallic fractal of stage three was verified theoretically for the first time. Eigenfrequencies and the field distribution of the localized modes were successfully calculated by the numerical simulation of dipole radiation based on the finite-difference time-domain method. The 90° light-scattering spectra agreed well with the eigenfrequencies and satisfied the selection rule due to the symmetry of the eigenmodes.

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.

Similar content being viewed by others

References

  1. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, 1982).

    MATH  Google Scholar 

  2. J. Feder, Fractals (Plenum, New York, 1988).

    MATH  Google Scholar 

  3. X. Sun and D. L. Jaggard, J. Appl. Phys. 70, 2500 (1991).

    Article  ADS  Google Scholar 

  4. W. Wen, J. Zhou, J. Li, et al., Phys. Rev. Lett. 89, 223901 (2002).

    Article  ADS  Google Scholar 

  5. M. Bertolotti, P. Masciulli, and C. Sibilia, Opt. Lett. 19, 777 (1994).

    Article  ADS  Google Scholar 

  6. M. Bertolotti, P. Masciulli, P. Ranieri, and C. Sibilia, J. Opt. Soc. Am. B 13, 1517 (1996).

    ADS  Google Scholar 

  7. S. Alexander and R. Orbach, J. Phys. Lett. 43, 625 (1982).

    Google Scholar 

  8. J. W. Kantelhardt, A. Bunde, and L. Schweitzer, Phys. Rev. Lett. 81, 4907 (1998).

    Article  ADS  Google Scholar 

  9. S. Kanehira, S. Kirihara, Y. Miyamoto, et al., J. Mat. Res. 18, 2214 (2003).

    ADS  Google Scholar 

  10. S. Kanehira, S. Kirihara, Y. Miyamoto, et al., J. Am. Ceram. Soc. 86, 1691 (2003).

    Article  Google Scholar 

  11. M. Wada-Takeda, S. Kirihara, Y. Miyamoto, et al., Phys. Rev. Lett. 92, 093902 (2004).

    Google Scholar 

  12. K. Sakoda, S. Kirihara, Y. Miyamoto, et al., Appl. Phys. B 81, 321 (2005).

    Article  ADS  Google Scholar 

  13. K. Sakoda, Phys. Rev. B 72, 184201 (2005).

    Article  ADS  Google Scholar 

  14. K. Sakoda, Opt. Express 13, 9585 (2005).

    Article  ADS  Google Scholar 

  15. T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics (Springer, Berlin, 1990).

    MATH  Google Scholar 

  16. K. Sakoda, Phys. Rev. B 52, 7982 (1995).

    Article  ADS  Google Scholar 

  17. K. Sakoda, Optical Properties of Photonic Crystals, 2nd ed. (Springer, Berlin, 2004).

    Google Scholar 

  18. K. Sakoda and H. Shiroma, Phys. Rev. B 56, 4830 (1997).

    Article  ADS  Google Scholar 

  19. A. Taflove, Computational Electrodynamics (Artech House, Boston, 1995).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Text © Astro, Ltd., 2006.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sakoda, K. Localized electromagnetic eigenmodes in three-dimensional metallic photonic fractals. Laser Phys. 16, 897–901 (2006). https://doi.org/10.1134/S1054660X06060016

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1054660X06060016

PACS numbers

Navigation