Meixner's Current Edge Behaviors and their Appearances in MoM Solutions: A Novel Step-Like Structure Creating Edges and Inner and Outer Wedges

Step-like PEC structures are studied in electrodynamics cases implementing Method of Moments (MoM). The canonical geometries included in these step-like structures such as edges, inner and outer wedges wedges and corners as well as the unique current behaviors are characterized and discussed. Meixner's [1] analytical canonical wedge scattering wedge current behaviors are referenced to explain the appearance of singular surface current near the step's edges and inner and outer wedges. Physical Optics approximation is also utilized as a comparison to MoM in solving the step-like scattering problems. MoM as a numerical technique solving integral equations has become a powerful tool tackling electromagnetic problems [2]. Through decades of development, MoM is now capable of solving various complex structures and abundant MoM commercialized software has also been developed; however, revisiting some simple but representative structures with MoM could be very interesting and may even direct attention to some problems that has been overlooked. Step-like structures as shown in the figure are very good examples since they consist of a series of canonical geometries such as edges, inner and outer wedges and corners, making them appropriate candidates to observe and discuss unique charge and current behaviors.