Choosing Impedance to Simplify Element Reflectance

Observe that there is a natural choice for each waveguide impedance which will give us a normalized, ``universal reflectance'' for each element:

• For the capacitor, setting $R_0 = 1/C$ gives

  $$\fbox{$\displaystyle \hat{\rho}_C(s) = \frac{1 - s}{1 + s}$} \protect$$ (F.5)

  
  

• For the inductor, setting $R_0=L$ gives

  $$\fbox{$\displaystyle \hat{\rho}_L(s) = - \frac{1 - s}{1 + s}$} \protect$$ (F.6)

  
  

• And for the resistor, we set $R_0 = R$ to obtain

  $$\fbox{$\displaystyle \hat{\rho}_R(s) = 0$} \protect$$ (F.7)