Physically, the force-wave reflection coefficient seen at port
of a series adaptor is due to an impedance step from
, that
of the port interface, to a new impedance consisting of the series
combination of all other port impedances meeting at the
junction. Let
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(F.43) |
Let's check this ``physical'' derivation against the formal definition
Eq.(F.38) leading to
in Eq.(F.40).
Define the total junction impedance as
This is the series combination of all impedances connected to the junction. Then by Eq.(F.42),
Since
the result follows.