The evaluation of MFIE integrals with the use of vector triangle basis functions

Formulas that provide an efficient and reliable numerical evaluation of the magnetic field integral equation (MFIE) with the use of vector triangular basis functions are developed. The MFIE integrals for the three basis functions on a triangular facet are converted from three vector integrals to three scalar integrals, which are evaluated simultaneously. The 1/R2 singular behavior is extracted from the integral, and closed-form expressions are given for the singular terms. Consequently, the formulas are valid for all observation points and are suitable for general-purpose modeling.