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 language | English (US) |
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Pages (from-to) | 10118-10123 |
Number of pages | 6 |
Journal | Physical Review B |
Volume | 48 |
Issue number | 14 |
DOIs | |
State | Published - Jan 1 1993 |
ASJC Scopus subject areas
- Condensed Matter Physics