Higher order method of moments solution of the new vector single-source surface integral equation for 2D TE scattering by dielectric objects

The traditional volume electric field integral equation can be reduced to a single-source surface integral equation by representing the electric field inside the scatterer as a superposition of elementary waves emanating from its boundary. Such new integral equation formulation has been previously developed for both the TM- and TE-waves scattering by 2D dielectric cylinders. This paper introduces a higher order method of moments solution of this new vector single-source surface integral equation in the case of TE-waves scattering. The error-controlled method of moments solution is validated against analytic Mie series solution for a circular cylinder with exact geometrical representation. Numerical solutions with maximum relative error in the computed fields not exceeding 10
^-5
are achieved, hence, validating the rigorous nature of the new single source integral equation formulation.