Advances in the Formulations and Accuracy of the Method of Moments Applied to Electromagnetics

The success of electromagnetic analysis and design during the past century would not have been possible without an accurate and complete theory, optimized numerical techniques and computers. In this work we solve the scattering by mixed homogeneous linear and isotropic three-dimensional materials with the Method of Moments in the harmonic case. New general methods, expressions and theorems have been derived to this end.
They allowed to introduce a new numerical formulation able to fully solve metallic sheets. To perform the singular numerical integrations, high efficiency quadratures have been selected for their ease of implementation in a general purpose code. After careful assessment of their accuracy, the electric and magnetic field integral equations (EFIE/MFIE) have been compared. A great similarity was observed, except in the vicinity of sharp edges.
A closer look revealed severe limitations inherent to the RWG basis functions. Future work will aim at unifying the EFIE and MFIE solutions everywhere.