#### Physical Derivation of Series Reflection Coefficient

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

denote this series combination. Then we must have, as in Eq.(F.25),

(F.36) |

Let's check this ``physical'' derivation against the formal definition Eq.(F.31) leading to in Eq.(F.33). Define the total junction impedance as

*all*impedances connected to the junction. Then by Eq.(F.35), for all . From Eq.(F.26), the

*velocity*reflection coefficient is given by

Since

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Reflection Coefficient, Series Case