Light propagation in finite-sized photonic crystals: Multiple scattering using an electric field integral equation

We present an accurate, stable and efficient solution to the Lippmann-Schwinger equation for electromagnetic scattering in two dimensions. The method is well suited for multiple scattering problems and may be applied to problems with scatterers of arbitrary shape or non-homogenous background materials. We illustrate the method by calculating light emission from a line source in a finite sized photonic crystal waveguide.