TRAVELING-WAVE TUBES 735 



In the y direction we have 



Now 



We obtain from (20) and (18), and (17) 



(18) 



(19) 

 (20) 



(21) 



(jfi-r)y=:-uofily-^^!^ (22) 



^0=^. (23) 



Uo 



We may note that rjE is the electron cyclotron frequency. Now, 



. _ dy dy dz 



^ ~ dt ^Tt (24) 



y = Uq{j^ - T)y. 

 From (24) and (22) we obtain 



-''"'^' - (25) 



(26) 



(27) 

 (28) 



(29) 



ihUfi - r) 



