Accuracy of Near-Singularity Cancellation Quadrature Schemes for the Dynamic MoM Kernel

Near-singularity cancellation quadrature schemes are used for certain surface integrals in the method of moments (MoM). Schemes are typically derived for the static kernel, but then applied to the dynamic kernel in practice. In this letter, the effect upon quadrature error of adding the complex exponential factor to the integrand is evaluated for various schemes. Both theoretical and numerical results are presented. Integration of a weakly near-singular test kernel over a triangular surface is considered. It is found that a number of schemes can handle the dynamic factor well. The Radial-Angular-R1-Sqrt scheme is found to be the most efficient for the weak near-singularity. Results also show that for weak near-singularities, schemes tailored to strong near-singularities are less efficient.