A Stable Solution of Time Domain Electric Field Integral Equation Using Weighted Laguerre Polynomials

In this article, 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, which means that the unknown surface currents are expanded by these basis functions. The proposed algorithm is based on the Galerkin’s scheme that involves separate spatial and temporal testing procedures. By introducing the temporal testing procedure, the conventional marching-on in time procedure can be replaced by a recursive relation between the different orders of the weighted Laguerre polynomials. In this article, by deriving the integral formulation using the weighted Laguerre polynomials, we solve for the surface current density as the unknown directly. To verify the accuracy of the proposed method, we have compared the results with the inverse discrete Fourier transform of the frequency domain solutions for the electric field integral equation. © 2007 Wiley Periodicals, Inc. Microwave Opt Technol Lett 49: 2789–2793, 2007; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop. 22835