OSA's Digital Library

Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 3, Iss. 1 — Jul. 6, 1998
  • pp: 12–18

Novel approach to photonic bands with frequency-dependent dielectric constants

Kazuaki Sakoda and Jun Kawamata  »View Author Affiliations

Optics Express, Vol. 3, Issue 1, pp. 12-18 (1998)

View Full Text Article

Enhanced HTML    Acrobat PDF (362 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We formulated a novel method to calculate the dispersion relations of arbitrary photonic crystals with frequency-dependent dielectric constants based on the numerical simulation of dipole radiation. As an example, we applied this method to a two-dimensional square lattice of metallic cylinders and obtained a good agreement with the previous result by means of the plane-wave expansion method by Kuzmiak et al. [Phys. Rev. B 50, 16 835 (1994)]. In addition to the dispersion relations, we could obtain the symmetries and the wave functions of the eigenmodes.

© Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(350.3950) Other areas of optics : Micro-optics

ToC Category:
Focus Issue: Photonic crystals

Original Manuscript: March 23, 1998
Revised Manuscript: February 16, 1998
Published: July 6, 1998

Kazuaki Sakoda and Jun Kawamata, "Novel approach to photonic bands with frequency-dependent dielectric constants," Opt. Express 3, 12-18 (1998)

Sort:  Journal  |  Reset  


  1. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals, (Princeton University Press, Princeton, 1995).
  2. Photonic Band Gaps and Localization, edited by C. M. Soukoulis (Plenum, New York, 1993).
  3. Photonic Band Gap Materials, edited by C. M. Soukoulis (Kluwer, Dordrecht, 1996).
  4. S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, and S. Schultz, "Microwave propagation in two-dimensional dielectric lattices," Phys. Rev. Lett. 67, 2017-2020 (1991). [CrossRef] [PubMed]
  5. E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, "Donor and acceptor modes in photonic band structure," Phys. Rev. Lett. 67, 3380-3383 (1991). [CrossRef] [PubMed]
  6. E. Yablonovitch, "Photonic band-gap structures," J. Opt. Soc. Am. B 10, 283-295 (1993). [CrossRef]
  7. V. Kuzmiak, A. A. Maradudin, and F. Pincemin, "Photonic band structures of two-dimensional systems containing metallic components," Phys. Rev. B 50, 16 835-16 844 (1994). [CrossRef]
  8. K. Sakoda and H. Shiroma, "Numerical method for localized defect modes in photonic lattices," Phys. Rev. B 56, 4830-4835 (1997). [CrossRef]
  9. K. Sakoda, T. Ueta, and K. Ohtaka, "Numerical analysis of eigenmodes localized at line defects in photonic lattices," Phys. Rev. B 56, 14 905-14 908 (1997). [CrossRef]
  10. K. Sakoda and K. Ohtaka, "Optical response of three-dimensional photonic lattices: Solutions of inhomogeneous Maxwell's equations and their applications," Phys. Rev. B 54, 5732-5741 (1996). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited