On the location and number of expansion centers for the generalized multipole technique

Abstract

The generalized multipole technique is investigated from the perspective of determining a scheme for placing the multipole sources. The multipole technique is described using only the monopole current filament model. A limiting process is developed to determine the location and number of sources correlated to the radius of curvature of the scatterer. The ideas presented are verified by analyzing the convergence of the method using circular and elliptical cylinders. It is shown that ellipses with major to minor axis ratios up to 5:1 converge in a fashion comparable to the circular case.