A hybrid method for solving time-domain integral equations in transient scattering

The authors proposed a hybrid method that combines the advantages of the frequency-domain techniques and the marching-on-in-time method while avoiding their disadvantages. As in the marching-on-in-time method, the time-domain integral equations are discretized in space. This results in a system of linear time-domain equations of a fixed dimension. This system, in turn, is solved by the frequency-domain procedure of subjecting it to a temporal Laplace or Fourier transformation. Using this approach, the authors solved three scalar scattering problems for which benchmark results obtained by alternative methods were available.<>