@article{8857f580863040a7902e07d129f80f57,
title = "Theory of propagation of scalar waves in periodic and disordered composite structures",
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.",
author = "Johnson, {Neil F} and Hui, {P. M.}",
year = "1993",
doi = "10.1103/PhysRevB.48.10118",
language = "English (US)",
volume = "48",
pages = "10118--10123",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Institute of Physics Publising LLC",
number = "14",
}