GAS-DISCIIARGK TR.W.SM IT RllCEIV F. SWITCH 95 



This equation was used for plotting Fig. 16, where 5i is replaced by its equiva- 

 lent in terms of a, Qo and T. 



The Derived g Parameters. For some purposes it is convenient to eliminate 

 Si) from the expressions for T and a. This may be done by defining 



5i 

 gi= ^ 



and 



5.. 

 g2 = - . 



Introducing these new parameters the equations become 



(20) 



(21) 



Qi 



== 1 + g. + g2 (22) 



T = ^^^ (23) 



(1 + gi + g^y ^^^ 



(T — 



1 _L (24) 



1 + g2 

 Pr = Pegl (25) 



P, = iPP.g.V" (26) 



The g parameters are particularly useful in defining the behavior of a 

 tube and cavity combination when 6o is a fixed quantity while the effects of 

 changes of 6o are more clearly shown when the 8 parameters are used. The 

 g parameters may be determined experimentally, using equations (21) and 

 (22) without knowing the value of 5o, that is of (^o. On the other hand the 

 g's are altered if a tube is replaced by one giving a different Q value while 

 the 5's are intrinsic properties of the coupling mechanisms and remain fixed 

 as long as the cavity and the tube tune at the same frequency and have the 

 same effective reactance. 



Tabulation of Related Equations. In the interest of completeness a num- 

 ber of the more important combinations of the basic equations are listed in 

 Table 1. Some of these are of interest for measurement purposes while 

 others apply particularly to actual system conditions. 



Off-Resonance Analysis. The analysis can be extended to predict the 

 transmission when the cavity is detuned from resonance by introducing the 

 necessar>' susceptance term in equation (11) above and solving for T. This 

 gives for the absolute value (neglecting phase) 



T = ^^^ ^. (27) 



