Singularity expansion method analysis of regular polygonal loops

The singularity expansion method parameters (natural frequencies, natural modes, and coupling coefficients) for regular planar polygonal loops (equilateral triangle, square, regular pentagon, and regular hexagon) are computed and compared to those determined for the regular 60-gon (pseudo-circular) loop. Common characteristics of these geometries are compared and contrasted with respect to their use as radiating antenna structures or scatterers. The approach results in new insights for these canonical loop structures.<>