Propagation Of Light In Photonic Crystals

Abstract

The study starts from reviewing historical background and fundamental properties of photonic crystals to analytical analysis of electromagnetism in mixed dielectric media. Light propagation in one-, two- and three-dimensional photonic crystals and how light propagation is inhibited through photonic band gap, along with photonic band gap formation are theoretically studied. The proper e ect of dielectric function, group velocity, group velocity dispersion and group index are studied analytically. Maxwell's equation and Bloch's theorem are introduced to show how the light wave (EMW) propagates in photonic crystals analytically. We show theoretically and analytically slow light and delay bandwidth product with a remarkably low group velocity is a promising solution for bu ering and time-domain processing of optical signals. Photonic-crystal devices are especially attractive for generating slow light, as they are compatible with on-chip integration and room temperature operation, and can o er wide-bandwidth and dispersion-free propagation.