A New Stable Solution for TD-EFIE using weighted Laguerre Polynomials as Temporal Basis Functions

In this paper, we propose a new stable solution for the time domain electric field integral equation (TD-EFIE) for arbitrarily shaped conducting structures, which utilizes weighted Laguerre polynomials as temporal basis functions. The proposed algorithm is based on the Gerlerkin´s scheme that involves separate spatial and temporal testing procedures. RWG triangular vector basis functions are used for spatial expansion and testing functions for arbitrarily shaped 3-D conducting structures. In order to verify the proposed method, we compared the results with the inverse discrete Fourier transform (IDFT) of the analytic solutions or the electric field integral equation solutions in frequency domain