KEFLEX OSCILLATORS 649 



cot 1 „.„v , ^^, 



From computation it turns out that in the range of interest, the quantity 

 F{X) does not differ from (—1) by more than 20%. 



The desired approximate solution comes now from substituting the ex- 

 phcit phase optimum (e29) to (e32) back into (e25)-(e27). The results are: 



X2 /2/i 1 \ 



Pl = /oFo— ( Y - -^0 + ^J^(X)] (e34) 



iO 2^n /2-/l 



G,. = :jT(S'y ^^Y - ■'» + ^•^>W ) (<=35) 



^5.(X)) 



The S-functions are given by 



Si(X) = (-F - ^^ - ^ + LX' - ^^M-^i 



6-2(A') = [-F' - F— + 4F + 



8 8 / 



+ ("--'f- - - -x*)-L' 



\ 2 4 4 /Z 



The equations (e33)-(e35) have the following meaning: they presup- 

 pose that the load Gl has been adjusted for maximum useful power in the 

 presence of circuit loss Gk , and that the drift angle is also optimum. Then 

 the useful power is given parametrically in terms of the circuit conductance 

 by equations (e3>3) and (e34), while (e3i5) gives the required optimum load 

 conductance, also in terms of the parameter A'. 



The results may be expressed as a chart of useful power, plotted against 

 the value of resonator loss conductance. This is done in Fig. 128. 



One may also be interested in the maximum power which could be gen- 



(e36) 



(e37) 



(e38) 



