Nonlinear photonic crystals

Abstract

In this paper, we describe a theoretical approach by which we can qualitatively and quantitatively determine the nonlinear optical properties of a photonic crystals. We start by accurately characterizing the linear properties of the structure, using a recently developed multigrid method to efficiently compute the photonic bandstructure and Bloch functions of the PC. This results in a generalization of the slowly varying envelope approximation to the case of nonlinear PCs.