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.
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics