A hybrid method of moments-marching on in time method for the solution of electromagnetic scattering problems

This work proposes a new time domain integral equation (TDIE) solution technique that uses a much larger time step than the method of Weile et al.. Specifically, the method presented in the previous work required the discretization of time based upon the highest frequency in the band of interest. In this work, analytic signal theory and Hilbert transforms are used in such a way the temporal discretization can be accomplished based only on the bandwidth of the signal of interest. Finally, it is be seen that the procedure is equivalent to a hybridization of the TDIE technique with the frequency domain method of moments.