Stable marching-on-in-time algorithm capable of handling multiple excitations – application to wire junction problems

In this work, a stable marching-on-in-time method is presented to obtain a scattering response from arbitrary wire structures illuminated by a Gaussian plane wave directly in the time domain (TD). Contrary to all the available TD algorithms until now, the present procedure, besides being stable, is also capable of handling multiple excitations in a trivial manner. The new procedure is based on the conventional method of moments and utilises standard pulse functions for expansion of the space variable and time-shifted Gaussian functions for the time variable. The testing procedure is accomplished by collocation. The numerical results obtained using the new procedure are validated by comparing with the data obtained from the frequency domain solution using the same modelling scheme and performing inverse discrete Fourier transform.