658 



THE BELL SYSTEM TECHNICAL JOURNAL, MAY 1954 



APPENDIX II. THE FIELD COMPONENTS 



The field components are given here for the ferrite and for the plasma. 

 They are normalized in such a way that E; takes a simple form. It should 

 be noted that the X's appearing in these equations are those defined in 

 Sees. 4.11 and 4.2 for the ferrite and plasma respectively and have a 

 different significance in the two cases. 



We write 



A,{r) = 



Jnixir) 

 Jn (xiro) 



A,(r) = 



Jnixir) 



Jn (X2ro) 



Then, for the ferrite, 



E. = lUr) - .4,(r)]e'"' , 



E. = -j, ' -^'('■) 1 

 Ee = -/3 

 H. = i/3 



Fnixir) - ^ 

 r xr I Ai 



r X2^ 1 ^2 



I'nB 



' A,{r) _!_ i Fnixir) _ 1 _ Mr) ± (KM 

 . r xi^ I X] / r x2-\ X2 



in$ 



I A^{r) - 1 A,(r) 



Ai A2 



.jn0 



"Ai(r) 1 



xr 



He = -j 



'Ai{r) 1 ; p . N 



Xi^ 



1 2 



1 — Xi 



Xi 



Mr) _1_ 

 r xi^ 



n 



Fnixir) 



n — 



1 ^ 



1 - X2 



i^n(x2r) 



7n9 



, and 



Xi 



A2(r) 1 



(1 - xi^) 



, /n(x2r) - f (1 - X2O 



j'nfl 



and, for the plasma, 



E. = [Ai(r) - A,{iW' , 



Er = -''- 



AM 1 



/3 L r xi"' 



{(1 - x')Fn{xir) +nXi} 



^ A {(l-X2V„(x2r)+nX2} 



?• X2^ 



^jne 



