Numerical Design of Testing Functions for the Magnetic-Field Integral Equation

We present a novel numerical approach to design testing functions for the magnetic-field integral equation (MFIE). Enforcing the compatibility of matrix equations derived from MFIE and the electric-field integral equation (EFIE) for the same problem, testing weights for MFIE are determined on given templates of testing functions. The resulting MFIE systems produce more accurate results that the conventional MFIE implementations, without increasing the number of iterations and processing time. The design procedure can also be used for more general cases, e.g., for dielectric objects, where the behavior of different integral equations have been well studied and identified.