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 language | English (US) |
|---|---|
| Pages (from-to) | 65-69 |
| Number of pages | 5 |
| Journal | Solid State Communications |
| Volume | 91 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1994 |
ASJC Scopus subject areas
- Chemistry(all)
- Condensed Matter Physics
- Materials Chemistry
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Hui, P. M., Lee, W. M., & Johnson, N. F. (1994). Theory of scalar wave propagation in periodic composites: A k·p approach. Solid State Communications, 91(1), 65-69. https://doi.org/10.1016/0038-1098(94)90844-3