Analysis of transient scattering from PEC objects using the Generalized Method of Moments

In this work, we develop the GMM scheme for the discretization of the TDIE. We will describe a scheme for the extension of the GMM to time domain using products of GMM functions (for spatial basis functions) and interpolatory polynomials (for temporal basis functions). First, we will show that these basis functions provide accurate scattering results over a wide variety of geometries. Further, we will demonstrate the ability of the GMM scheme to arbitrarily mix basis functions across the geometry. We will show that using different basis functions in different areas of the tessellation can be trivially achieved by simply changing an input flag. While the results obtained in this paper are using the magnetic field equation, it will also be shown at the conference that this scheme leads to a stable discretization scheme for the electric field integral equation (EFIE) as well.