Theory of scalar wave propagation in periodic composites: A k·p approach

P. M. Hui, W. M. Lee, N. F. Johnson

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

A simple, yet accurate, band structure formalism is presented to describe dispersion relations of scalar waves in periodic composite structures. We develop a scalar wave version of k·p theory, a technique which has been successfully used for calculating electronic band structures in semiconductors. The formalism permits easy description of the band structure around some interesting points in k-space without intensive computation. The accuracy of the method is demonstrated by considering numerical examples for the case of a square array of dielectric cylinders embedded in a host medium.

Original languageEnglish (US)
Pages (from-to)65-69
Number of pages5
JournalSolid State Communications
Volume91
Issue number1
DOIs
StatePublished - Jul 1994

ASJC Scopus subject areas

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

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