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

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