REFLEX OSCILLATORS 



469 



proportional to the frequency at which the resonator is driven. The condi- 

 tion for stable oscillation is 



W + F, = 0. 



(2.6) 



1.0 1.5 2.0 2.5 3.0 



BUNCHING PARAMETER, X 



Fig. 5. — Relative amplitude of electronic admittance vs the bunching parameter X 

 The bunching parameter increases linearly with radio frequency gap voltage so that this 

 curve shows the reduction in magnitude of electronic admittance with increasing voltage. 



We may rewrite (2.2) for any given value of 6 as 



where 



F{V) = 



2/i 



(13 Vd) 



(2Fo) _ 2/i(X) 



2Fo 



X 



The quantity 



X = 



2Fo 



(2.7) 



(2.8) 



(2.9) 



is called the bunching parameter. A plot of the function F{V) vs X is 

 shown in Fig. 5. For any given value of 6 and for fixed operating conditions 



