An effective method for the analysis of propagation in polygonal cross-section dielectric waveguides

In this paper, a fast (and) convergent method to analyze propagation in polygonal cross-section dielectric waveguides is presented. The problem formulated as an homogeneous surface integral equation in the spectral domain is discretized by means of Galerkin method with analytically Fourier transformable expansion functions reconstructing the behavior of the fields on the wedges. Moreover, the elements of the obtained coefficients' matrix are efficiently evaluated by means of a suitable analytical asymptotic acceleration technique and an optimized C++ code implementation.