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) |
|---|---|
| Pages (from-to) | 10118-10123 |
| Number of pages | 6 |
| Journal | Physical Review B |
| Volume | 48 |
| Issue number | 14 |
| DOIs | |
| State | Published - 1993 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Theory of propagation of scalar waves in periodic and disordered composite structures
AU - Johnson, Neil F
AU - Hui, P. M.
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0342832070&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0342832070&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.48.10118
DO - 10.1103/PhysRevB.48.10118
M3 - Article
AN - SCOPUS:0342832070
VL - 48
SP - 10118
EP - 10123
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 1098-0121
IS - 14
ER -