824 



THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1956 



-1.0 



Pl=Plo(i + cx) 



C = 2 



Pqo 



LO 



h„ 



hs, 



■0.8 



-0.6 



'21 



P'lo 4h„rh22r-2Reh,2h2i 



-0.4 



x=o 



■0.2 



LO 



0.2 



0.4 



0.6 



0.8 





ANGLE OF"G"iN L-M PLANE IS: ARG -^^z^z^ 



Fig. 9(a) — Input power as a function of X. 



Development of Transmission and Impedance Charts 



The same point of departure employed in the evakiation of optimum 

 cases leads to a convenient set of charts. Equation 12 shoAvs that a setj 

 of concentric circles centered at 1, are loci in the L-M plane of constant 

 power output for a unit current source at the input. It is convenient to 

 plot these as is done on Figure 8, showing Pq as a fraction of Poo • 



h 



21 



Po 



Poo 



l-(L-lf- M' 



(24) 



4/i 



22r 



Since Yl , the load admittance, is —I2/E2 , using (10) one obtains 



-h 



= Yl = -A22 + 



2h 



22r 



E2 - ' L+ jM 



Now it is clear that if one defines G2 and B2 by 



2/l?2r 



^2=^2+ JB2 = Yl + h22 = 



L + jM 



(25) 



(26) 



