An efficient integral transform technique of a singular wire antenna kernel

Abstract

This paper presents an efficient integral transform technique for evaluating the singular part of the scalar and vector potentials due to a uniform current subdipole. By performing several transformations, the original double integral 1/R-s with a singular kernal can be represented as a finite one-dimensional integral whose integrand possesses an analytically integrable logarithmic singularity. The results of the newly driven integral are compared with those using other available numerical methods and checked the validity of the proposed method.