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

Neil F Johnson, P. M. Hui

Research output: Contribution to journalArticle

22 Citations (Scopus)

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 - 1993
Externally publishedYes

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composite structures
Composite structures
Band structure
scalars
propagation
Impurities
Semiconductor materials
impurities
analogs
formalism
perturbation
Photonics
photonics
electronics

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Theory of propagation of scalar waves in periodic and disordered composite structures. / Johnson, Neil F; Hui, P. M.

In: Physical Review B, Vol. 48, No. 14, 1993, p. 10118-10123.

Research output: Contribution to journalArticle

Johnson, Neil F ; Hui, P. M. / Theory of propagation of scalar waves in periodic and disordered composite structures. In: Physical Review B. 1993 ; Vol. 48, No. 14. pp. 10118-10123.
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