APPENDIX VI 



455 



departure from the true curve of Ye would indicate that this approximation 

 is not as good as that described above. 



It is now possible to find the values of Q^ and K^ appropriate to the solid 



100 

 80 



60 

 40 



i 06 



SI 



0.10 

 0.08 

 006 



0.04 



0.02 



7oa 



Fig. A6.5 — Circuit impedance K, for a solid beam of electrons of radius b inside a helix 

 of radius a and natural propagation constant 70 , obtained from the equivalent hollow 



£2 (2), (3) 



beam parameters of Fig. 3 taken at >« = 70 . Ks should replace K = —^ in order 



for the normal mode solutions for a hollow beam to be applicable to a solid beam. 



beam. Thus if Q ( 70 a, - 1 and K iyoa, - j are the values for the hollow beam 

 calculated from eqs. (9), (12) and (13), 



Qs = Q{yoa,s-), 



(23) 



