Let

Then we can write

We have solved for the junction velocity . The transmitted pressure is then .

Since , the reflected velocity is simply

Thus, we have solved for the transmitted and reflected velocity waves given the incident wave and the two impedances.

Using the Ohm's law relations, the pressure waves follow:

Define

Then we get the following scattering relations in terms of for pressure waves:

Signal power conserved (left-going power negated):

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