Theory of photonic band structures: a vector-wave k·p approach

N. F. Johnson, P. M. Hui, K. H. Luk

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


The k·p band-structure formalism, originally developed for electrons in semiconductors is shown to be a powerful method for describing photonic dispersion relations in periodic dielectric structures. An expression analogous to the f-sum rule in electronic problems is derived for the effective refractive index of the composite. Band structures obtained analytically using the method are in excellent agreement with the results of computationally intensive plane-wave calculations.

Original languageEnglish (US)
Pages (from-to)229-232
Number of pages4
JournalSolid State Communications
Issue number4
StatePublished - Apr 1994

ASJC Scopus subject areas

  • Chemistry(all)
  • Condensed Matter Physics
  • Materials Chemistry


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