Schelkunoff integrals for vertical dipoles

In this paper, the problem of Sommerfeld integral tails which plagued the electromagnetic community for years is totally abolished. This is achieved by exploiting Schelkunoff integrals. As opposed to Sommerfeld integrals, the integrands in Schelkunoff´s formulation exhibit a fast and monotonic decreasing behavior. Thus, the numerical convergence of Schelkunoff integrals is guaranteed as compared to Sommerfeld´s which involve the integration of highly-oscillatory and slowly decaying functions over a semi-infinite contour. The new integrals are applied to formulate a solution for the problem of a vertical Hertzian dipole over an infinite imperfect ground plane.