Theory of scalar wave propagation in periodic composites

A k·p approach

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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 - 1994
Externally publishedYes

Fingerprint

Band structure
Wave propagation
wave propagation
scalars
composite materials
Composite materials
formalism
composite structures
Composite structures
Semiconductor materials
electronics

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

Theory of scalar wave propagation in periodic composites : A k·p approach. / Hui, P. M.; Lee, W. M.; Johnson, Neil F.

In: Solid State Communications, Vol. 91, No. 1, 1994, p. 65-69.

Research output: Contribution to journalArticle

Hui, P. M. ; Lee, W. M. ; Johnson, Neil F. / Theory of scalar wave propagation in periodic composites : A k·p approach. In: Solid State Communications. 1994 ; Vol. 91, No. 1. pp. 65-69.
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