Extensions to the contour integral method for efficient modeling of TM scattering in two-dimensional photonic crystals

We present an extension to the contour integral method (CIM) for the treatment of two-dimensional scattering problems from circular inclusions with plane wave excitation. CIM is an integral equation approach to planar problems whose efficiency can be greatly enhanced by semi-analytical treatment of circular scatterers. It is related to the boundary element method (BEM) and shows promising domain decomposition capabilities. The performance and accuracy is compared to the full-wave finite integral technique (FIT) by studying the scattering of an array of dielectric rods.