Choosing Waveguide 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

  $$\fbox{$\displaystyle S_C(s) = \frac{1 - s}{1 + s}$} \protect$$ (N.8)

  
  

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

  $$\fbox{$\displaystyle S_L(s) = - \frac{1 - s}{1 + s}$} \protect$$ (N.9)

  
  

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

  $$\fbox{$\displaystyle S_R(s) = 0$} \protect$$ (N.10)