Recent Progress in Unifying the Time- and Frequency-Domain Methods

Along with other numerical methods such as finite-difference methods, Method of Moments (MoM) or Method of Weighted Residual (MWR) has traditionally been applied in the frequency domain and has been shown to be very effective and efficient in computing open structure problems. It is generally considered to be a numerical method that is different from other numerical methods. In this paper, we summarize our recent progress in using the MoM as a general framework to unify most of numerical methods developed so far, either in frequency-domain or in time-domain. As the result, numerical issues can now be understood and derived with a common procedure. The significance of such unification is that new grid-based numerical methods, particularly effective and efficient for specific structures, can now be developed with the MoM procedure using new expansion and testing functions.