Resistor Reflectance

Finally, for a resistor of $R$ Ohms, we get

$$\hat{\rho}_R(s) = \frac{R-R_0}{R+R_0} = \frac{1 - R_0/R }{ 1 + R_0/R } \protect$$ (F.4)

Note that both the capacitor and inductor reflectances are stable allpass filters, as they must be. Also, the resistor reflectance is always less than 1, no matter what waveguide impedance $R_0>0$ we choose.