An efficient yet rigorous application of diakoptics to TLM simulation
of discontinuities in homogeneously filled waveguides is proposed. The
method, based on the expansion of the time-domain Green's function in
to frequency independent eigenfunctions, leads to a dramatic reduction
of the numerical effort when compared to the standard Johns Matrix ap
proach. Numerical results show that this new approach provides wide ba
nd absorbing boundaries for waveguide problems where several modes (wh
ether propagating or evanescent) are present. In this way, the computa
tional domain is also reduced to just a small region around the discon
tinuity, with the absorbing boundaries placed just a few cells away.