A separation of the logarithmic singularity in the exact kernel of the cylindrical antenna integral equation

The well-known logarithmic behavior of the singular "exact" kernel of cylindrical antenna integral equations is explicitly separated. The elliptic integral partitioning of the kernel by Schelkunoff is the point of departure in the development. The result is an expression for the kernel comprising the logarithmic term and a well-behaved economically computable residual term. This result is readily amenable to numerical solutions of integral equations of cylindrical geometries. Numerical results obtained from method-of-moments solutions to cylindrical antennas are given to verify the result.