Ae. Yilmaz et al., A fast Fourier transform accelerated marching-on-in-time algorithm for electromagnetic analysis, ELECTROMAGN, 21(3), 2001, pp. 181-197
A fast algorithm is presented for solving a time-domain electric field inte
gral equation (EFIE) pertinent to the analysis of scattering from uniformly
meshed, perfectly conducting structures. The marching-on-in-time (MOT) sch
eme that results from discretizing this EFIE is accelerated by using the fa
st Fourier transform to perform spatial convolutions. The computational cos
t and storage requirements of this algorithm scale as O(NtNs1.5) and O(N-s(
1.5)), respectively, as opposed to O(NtNs2) and O(N-s(2)) for classical MOT
methods. Simulation results demonstrate the accuracy and efficiency of the
approach and suggestions for extending the technique are proffered.