An Analytical Solution for the Logarithmic Singularity Associated with MoM Applied to Dielectrics and MFIE and Its Optimal Evaluation with Polynomial Quadratures

摘要

Two complete analytical solutions are presented for the double integral with 1/R3 singularity occurring in electromagnetic problems involving the MFIE-f and MFIE-nxf. These analytical solutions are used to assess the accuracy obtained with high efficiency polynomial quadratures in the evaluation of the singular outer integral. It is shown that a 16 nodes gaussian quadrature integration can provide the required accuracy.