Super-algebraically Convergent Algorithm for 2D TM Wave Scattering from Dielectric Cylinders with Smoothly Parametrized Cross Section Boundaries

Abstract

Scattering of an incident TM wave from multiple dielectric cylinders with arbitrary cross sections is elaborated. Parametrization of each cross section is assumed to be infinitely smooth, i.e. it is infinitely differentiable according to its argument. We suggest the super-algebraically convergent algorithm to solve both electric/magnetic field integral equations (EFIE/MFIE) by proper factorization of their kernels as the infinitely smooth and singular functions in addition to extraction of its singularities involving hyper-singular ones. Solutions obtained via an entire domain Galerkin procedure are given showing physical relevance and numerical stability.