K.p theory of photonic band structures in periodic dielectrics

N. F. Johnson; P. M. Hui

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

K.p theory of photonic band structures in periodic dielectrics

N. F. Johnson, P. M. Hui

Physics

Research output: Contribution to journal › Article › peer-review

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
Pages (from-to)	L355-L360
Journal	Journal of Physics: Condensed Matter
Volume	5
Issue number	29
DOIs	https://doi.org/10.1088/0953-8984/5/29/002
State	Published - Dec 1 1993

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics

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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.",

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N2 - 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.

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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