The use of the frill generator in thin-wire integral equations

For a frill-generator feed, certain fundamental mathematical properties of Hallen´s and Pocklington´s equations with the approximate kernel are stated and derived. For a particular moment-method procedure (Galerkin´s method with pulse functions applied to Hallen´s equation), the consequences to the numerical solutions are carefully examined. Generalizations to other numerical methods with subsectional basis functions are discussed. Many of our results come from studying the simpler problem of the infinite dipole analytically and applying the understanding thus obtained to the case of the finite dipole.