Integration of the Thin Wire Kernel

A procedure for evaluating the potential integrals on wires as the distance between the source and observation points decreases is presented. The new approach employs a recent technique for numerically evaluating an expression for the exact wire kernel. The formulation is accurate for extremely thin and for closely coupled-wires. Since the procedure is not dependent on the form of the basis function, it is readily adapted to algorithms using higher-order basis functions. Furthermore, the formulation sets the stage for using higher-order wire geometry modeling without singularity extraction as well