On the testing of the magnetic field integral equation with RWG basis functions in method of moments

For electromagnetic analysis using Method of Moments (MoM), three-dimension al (3-D) arbitrary conducting surfaces are often discretized in Rao, Wilton and Glisson basis functions. The MoM Galerkin discretization of the magnet ic field integral equation (MFIE) includes a factor Omega (0) equal to the solid angle external to the surface at the testing points, which is 2 pi ev erywhere on the surface of the object, except at edges or tips that constit ute a set of zero measure. However, the standard formulation of the MFIE wi th Omega (0) = 2 pi leads to inaccurate results for electrically small shar p-edged objects. This paper presents a correction to the Omega (0) factor t hat, using Galerkin testing in the MFIE, gives accuracy comparable to the e lectric field integral equation (EFIE), which behaves very well for small s harp-edged objects and can be taken as a reference.