Exploiting Mirror Symmetry in the 2D MoM Analysis of the Scattering by Conducting Cylinders

In this paper the authors carry out a judicious application of the 2D Method of Moments (MoM) to the analysis of the scattering of plane waves by infinite conducting cylinders in the case where the cylinders show two orthogonal planes of mirror symmetry. In particular, the original MoM scattering problem is replaced by four new MoM scattering problems in which the two mirror symmetry planes behave as perfect electric conductors and/or perfect magnetic conductors. The current densities of the four new MoM problems only have to be obtained in one quarter of the cylinders cross-section, and therefore, the number of MoM matrix entries in each new problem is one sixteenth the number of MoM matrix entries in the original problem, which makes it possible to reduce the CPU time required for the solution of the original problem to roughly one fourth. Results are generated for cylinders where the cross section is a rectangle, a rhombus, an ellipse and an ogive, the one quarter CPU time reduction being confirmed in all cases