Graphical Solution Technique

Graphically solve:

$$\begin{eqnarray*} G(p_{\Delta}) = p_{\Delta}^{+}-p_{\Delta},\qquad p_{\Delta}^{+}\mathrel{\stackrel{\mathrm{\Delta}}{=}}p_m- 2p_b^{+} \end{eqnarray*}$$

where

$$G(p_{\Delta}) \mathrel{\stackrel{\mathrm{\Delta}}{=}}R_bu_m(p_{\Delta}) = R_bp_{\Delta}/R_m(p_{\Delta})$$

• Introduced by Friedlander and Keller (1953)
• Analogous to finding the ``operating point'' of a transistor by intersecting its ``operating curve'' with the ``load line'' determined by the load resistance.
• Outgoing wave is then $p_b^{-}= p_m- p_b^{+}- p_{\Delta}(p_{\Delta}^{+})$