REFLEX OSCILLATORS 



517 



POWER INTO LOAD FOR 62= 03 

 MAX. POWER INTO LOAD FOR 62= 0.3 



LOAD POWER G2 = 0.3 



___ A = (2M1 (AOJ^ 



Fig. 34. — A transformation of the Rieke diagram of Fig. 32 to show the effect of the 

 resonator loss if the phase angle is assumed to be optimum. 



In rewriting (9.11) we will also replace Gi by Gi + G^ , to take resonator loss 

 into account. We obtain for very small values of hd 



-(2M/3;,)(Aco/a'o) = ((Gi + G2) tan A^ + B,)S (9.16) 



S = 1/(1 + (Gi + G2)wor/(2M/>;,) cos^ A^) 



S = 1/(1 + wor/2() cos- A^). (9.17) 



Q is the loaded Q of the oscillator. 



To obtain the new constant frequency contours in the case of A^ = 

 we shift each point of the old contour from its original position at a sus- 

 ceptance B,, along a constant conductance line G^,, to a new susceptance line 

 B,n = B„/S. This neglects a second order correction. It will be observed 

 that for small values of the conductance Gi near the outer boundary, the 

 frequency shifts will be practically unchanged, but near the sink where the 



