Variational expression for the analysis of photonic crystal devices

Yasuo Ohtera, Kaneyuki Kurokawa, Shojiro Kawakami

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


Variational expressions of the eigenfrequencies for photonic crystals are presented. We demonstrate that, by combining the expression with the conventional FDTD algorithm, the features of photonic band structures can be obtained efficiently. The proposed method can also be applied to the dispersion curves of photonic crystal waveguides. By employing the Rayleigh-Ritz method, anti-crossing features of the dispersion curves caused by the coupling of eigenmodes can be also successfully treated.

Original languageEnglish
Pages (from-to)919-926
Number of pages8
JournalIEEE Journal of Quantum Electronics
Issue number7
Publication statusPublished - 2002 Jul
Externally publishedYes


  • Dispersion relation
  • Photonic crystal
  • Rayleigh-Ritz method
  • Variational expression

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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