A comparison of methods to evaluate potential integrals

Several methods are developed and used to evaluate potential integrals which occur in the numerical solution of electromagnetic scattering or radiation from electrically thin elements. Exact and approximate representations are obtained for potential integrals with constant, trigonometric, or polynomial distribution functions. Each integrand and integral is displayed graphically over a broad range of parameters. The computational accuracy and efficiency of these representations are compared with direct numerical quadrature.