On the fully numerical evaluation of 4-D Singular and near singular integrals in the Method of Moments

This paper presents a simple and efficient, fully numerical integration scheme for the accurate evaluation of 4-D reaction integrals in the Method of Moments. The source integral is evaluated by a proper singularity cancellation scheme and the test integral via a quadrature formula specialized for the logarithmic singular behavior of the source integral near source domain boundaries. The proposed method is applied to the magnetic field integral equation (MFIE), where the gradient of the Helmholtz potential is present in the source integral. Numerical results demonstrate the accuracy of the proposed integration scheme.