392 



THE BELL SYSTEM TECHNICAL JOURNAL, MARCH 1952 



flowing axially in the inner conductor at the same point. The zeros of Z 

 define the natural frequencies of oscillation of the cavity and their asso- 

 ciated damping constants, or Q's. Our task is to develop an equivalent 

 network for this Z. 

 We have 



Z = Z\ -\- Zi = ^0 



1 + pe 



-iyh 



+ 



1 + P 



1 - pe-2T'. ' 1 - p 



(2-2) 



-VA- 



hR, 



2 



^W^ 



2 he / 3_ _3_> 



(-1^) ^(-i53; + i4' 





-^^A^ 



3 



3 



'2h(fn 





^^J^ M 



2g 



^nv 



27T 



C = 



27r6o 



:=3(108) 





10-'* 

 367r 



FOR AIR IN M. K.S. UNITS 



(e.g.) fJ-Q^ATT do-"') , 60 = 



H=Hq^ g = 5.8(10''), FOR COPPER IN M. K.S. UNITS 

 (n=1 FOR FUNDAMENTAL MODE) 



Fig. ll^Toroidal cavity, E radial. 



