Exact-Kernel Thin-Wire MoM with Geometric Representation by Bezier Curves

Abstract

Electromagnetic field simulation of wire structures is important to high-frequency electromagnetic engineering applications, including antenna design and electromagnetic compatibility studies. This paper exploits the electric field integral equation to solve for the induced current on a curved thin-wire, which is modelled as a perfect electric conductor (PEC). The singular part of the Green's function is integrated by means of the complete elliptic integral of the first kind. The geometry of the curved wire is described by Bezier-curve segments, where this approach is particularly useful for problems where a smooth wire-geometry requires better representation than the current at (typically) low frequencies. The formulation is tested on the scattering from a closed PEC ring shaped as a circle for three different frequencies. As the number of elements is increased, the induced currents tend toward the reference solution provided by FEKO.