This paper presents an efficient integral transform technique for evaluatin
g the singular part of the scalar and vector potentials due to a uniform cu
rrent subdipole. By performing several transformations, the original double
integral 1/R-s with a singular kernal can be represented as a finite one-d
imensional integral whose integrand possesses an analytically integrable lo
garithmic singularity. The results of the newly driven integral are compare
d with those using other available numerical methods and checked the validi
ty of the proposed method.