Modification of the Method of EFIE in 2D Problem of H-Polarized Wave Scattering by PEC Cylinder of Arbitrary Cross-Section

The modification proposed in the paper includes approximation of the contour of the cylinder cross-section by a polygon and use of the EFIE method for the PEC polygonal cylinder. The EFIE is reduced to a system of algebraic equations using a uniform current distribution on each polygon side and collocation method with collocation points located in the midpoints of the polygon sides. All the diagonal matrix elements and elements located near them are represented by analytical expressions based on the small argument approximation of the kernel with subsequent analytical integration. The integrals for corresponding to the other matrix elements are analytically represented using the centroid approximation. The effectiveness of the proposed modification is demonstrated using H-polarized plane wave scattering by the PEC cylinders of elliptical and square cross-sections.