Discretization of the Electric-Magnetic Field Integral Equation with the Divergence-Taylor-Orthogonal basis functions

We present the discretization in Method of Moments of the Electric-Magnetic Field Integral Equation (EMFIE) with the divergence-Taylor-Orthogonal basis functions, a facet-oriented set of basis functions. The EMFIE stands for a second kind Integral Equation for the scattering analysis of Perfectly conducting (PeC) objects, like the Magnetic-Field Integral Equation (MFIE). We show for a sharp-edged conducting object that the computed RCS with the divergence-Taylor-Orthogonal discretization of the EMFIE offers better accuracy than the conventional RWG discretization. Moreover, we present the discretization with the divergence-Taylor-Orthogonal basis functions of two second kind Integral Equations for penetrable objects: (i) the well-known Müller formulation and (ii) the new Müller Electric-Magnetic-Magnetic-Electric (Müller-EMME) formulation. The dominant terms in the resulting matrices from these formulations are derived, respectively, from the MFIE and the EMFIE in the PeC case. We show RCS results for both formulations for a dielectric sphere and validate them against the computed RCS with the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) dielectric formulation.