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 - 1994 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Materials Science(all)
- Condensed Matter Physics
Cite this
Theory of scalar wave propagation in periodic composites : A k·p approach. / Hui, P. M.; Lee, W. M.; Johnson, Neil F.
In: Solid State Communications, Vol. 91, No. 1, 1994, p. 65-69.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Theory of scalar wave propagation in periodic composites
T2 - A k·p approach
AU - Hui, P. M.
AU - Lee, W. M.
AU - Johnson, Neil F
PY - 1994
Y1 - 1994
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0028464123&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0028464123&partnerID=8YFLogxK
U2 - 10.1016/0038-1098(94)90844-3
DO - 10.1016/0038-1098(94)90844-3
M3 - Article
VL - 91
SP - 65
EP - 69
JO - Solid State Communications
JF - Solid State Communications
SN - 0038-1098
IS - 1
ER -