Fast PMCHWT Solution Based on Spectral Integral Method for 2-D Scattering Problem of a Cylinder

Starting from surface integral equations in the 2-D case, this paper reports transform to the well-known Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulations from the spatial domain into the spectral domain with a spectral integral method. With explicit formula deductions, this method provides fast solutions for a classic scattering problem of a single dielectric cylinder incident by a plane wave, efficiently eliminating interior resonance problems with high accuracy. Numerical experiments demonstrate the exponential convergence of the method and its merits going beyond the first-order method of moments.