Theory of propagation of scalar waves in periodic and disordered composite structures

N. F. Johnson, P. M. Hui

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

A band-structure formalism is presented to describe dispersion relations of scalar waves in periodic composite structures. We develop a scalar-wave version of kp theory, a technique that has been successfully used for calculating electronic band structures in semiconductors. Analogs of semiconductor impurities are considered. The scalar-wave analog of semiconductor effective-mass theory is derived to describe the effect of a slowly varying perturbation (shallow impurity). The case of a highly localized perturbation (deep impurity) is discussed via a tight-binding theory. Application of the formalism to describe vector waves and hence photonic band structures in periodic dielectric systems is discussed.

Original languageEnglish (US)
Pages (from-to)10118-10123
Number of pages6
JournalPhysical Review B
Volume48
Issue number14
DOIs
StatePublished - Jan 1 1993

ASJC Scopus subject areas

  • Condensed Matter Physics

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