K.p theory of photonic band structures in periodic dielectrics

Neil F Johnson; P. M. Hui

doi:10.1088/0953-8984/5/29/002

K.p theory of photonic band structures in periodic dielectrics

Neil F Johnson, P. M. Hui

Research output: Contribution to journal › Article

12 Scopus citations

Abstract

A k.p band-structure formalism is presented to describe photonic dispersion relations in periodic dielectric structures, within the scalar wave approximation. A reciprocal effective dielectric tensor is defined and an expression analogous to the f-sum rule for semiconductors is derived. Application of the present formalism is discussed using a two-band model. The generalization to vector waves is outlined.

Original language	English (US)
Article number	002
Journal	Journal of Physics Condensed Matter
Volume	5
Issue number	29
DOIs	https://doi.org/10.1088/0953-8984/5/29/002
State	Published - 1993
Externally published	Yes

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ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

Cite this

Johnson, N. F., & Hui, P. M. (1993). K.p theory of photonic band structures in periodic dielectrics. Journal of Physics Condensed Matter, 5(29), [002]. https://doi.org/10.1088/0953-8984/5/29/002

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AB - A k.p band-structure formalism is presented to describe photonic dispersion relations in periodic dielectric structures, within the scalar wave approximation. A reciprocal effective dielectric tensor is defined and an expression analogous to the f-sum rule for semiconductors is derived. Application of the present formalism is discussed using a two-band model. The generalization to vector waves is outlined.

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Access to Document

10.1088/0953-8984/5/29/002