Time-domain methods have the advantage to easily model media or bounda
ries which can be described or characterized in time-domain. However,
constitutive parameters or impedance for instance are usually frequenc
y-domain concepts and cannot be readily modeled with time-domain metho
ds, Some investigation regarding the TLM modeling of a class of disper
sive media, namely conducting media which have high conductivity, is p
roposed. Starting with a review of different techniques for modeling r
eflected signals from highly conducting boundaries,a procedure which u
ses an analytical formulation via Laplace transform is described in de
tails. The interface with the TLM algorithm is discussed for transmitt
ed as well as reflected signals. Asymptotic behavior of solutions is i
nvestigated and simplified formulae proposed. Some examples are given
and compared to analytical solutions for validation.