  A prior work (see Chapter 8 of the book, ``Graphs and Networks: Transfinite
and Nonstandard,'' Birkhauser-Boston, Cambridge, Mass., USA, 2004) examined the
propagation of an electromagnetic wave on a transfinite transmission line,
transfinite in the sense that infinitely many one-way infinite transmission
lines are connected in cascade. That there are infinitely many such one-way
infinite lines results in the wave propagating without ever reflecting at some
discontinuity. The present work examines the cascade where the cascade
terminates after only finitely many one-way infinite transmission lines, with
the result that reflected waves are now produced at both the far end as well as
at the initial end of the transfinite transmission line. The question of
whether the reflected waves are infini tesimal or appreciable and whether they
sum to an infinitesimal or appreciable amount are resolved for both
distortionless and lossless lines. Finally, the generalizations to higher ranks
of transfiniteness is briefly summarized.
