Binary Connection Tree Series Adaptor

Suppose we wish to make a series reflection-free connection of adaptors $B$ and $C$ using a new three-port series adaptor $A$ , as shown in Fig.F.9. We make the top port of adaptor $A$ reflection free by matching its wave impedance $R_A$ to the series combination of all other connected adaptors, i.e., $R_A=R_B+R_C$ in this case. We mark the top port of $A$ as being reflection-free using the `$\perp$ ' symbol.

Figure F.9: Series connection of adaptors $B$ and $C$ using a reflection-free three-port series adaptor $A$ .