Negative refraction in two-dimensional photonic crystals

Abstract

A two-dimensional, square-lattice photonic crystal model possessing analytical solutions is investigated to ascertain the requirements for negative refraction to occur. The refraction properties are presented for both polarizations assuming in-plane propagation and phase matching conditions across a surface perpendicular to the ΓM-direction of the crystal. It is shown that the most isotropic and highest effective refractive index is obtained near the maximum of the lowest band for a crystal with a high refractive index contrast between its constituent materials.

Acknowledgments

This work was carried out as part of the Electronic Systems Domain of the MoD Research Programme.