A Fast Marching-on-in-Degree Solution for Analysis of Conductors Coated With Thin Dispersive Dielectric

In this paper, a novel marching-on-in-degree-based time-domain electric field integral equation (TD-EFIE) is proposed for the analysis of conductors coated with thin dispersive dielectric. The algorithm begins with representing the polarization electric current/charge of the dielectric part in terms of the surface electric current of the conductor. Then, the TD-EFIE can only be formulated with the surface electric current by using the thin dielectric sheet approach. Since the spatial unknowns are only assigned to the surface of the conductor, the computational resources can be saved significantly. Besides, the analytical solution can be obtained for the convolution of the medium susceptibility and the divergence of surface electric current. Moreover, the time variables can be eliminated by using the Galerkin testing with the weighted Laguerre polynomials. As a result, the late time stability can be guaranteed. Numerical examples of Debye, Lorentz, and Drude media are given to demonstrate the validity of the proposed algorithm.