GUIDKD-WAVH I'KOPACJA TION TIIKOUCiH Ci YKOMAGNETJC MEDIA G07 



course in \\\c tliii'd (|ua(lraiit is iiniucdiatcly found by rofloction in the 

 origin. 



When p = the magnetization of the ferrite vanishes and it is clear 

 that we should then obtain just the modes of a guide filled with isotropic 

 material (n = n^ ; k = 0). Superficially it might appear that, since the 

 equations (31b) and (33) depend upon a, even for p = 0, this result 

 might not be attained. We now show that I3~ is indeed independent of a 

 for p = 0. It may first be noted that in this case if o- 5^ 1, the Polder re- 

 lation (31b) transforms 



1 - o-X, 

 The G-equation reads 



into 



<tX. 



and Xi into 



X2 



<xX-^ 



1 — X20" 



1 



Xo2 



Firo 



1 - X2= 



1 - crX. , 



1 - Xo(T 



)- 



1 - X22 

 Since Xi y^ X2 we must have 



_<r — X2 \ Kl — o'X2 



F ro 



1 - Xs^ 



(tX. 



or CO , 



or 



Xl,2 



1 



crXi, 





or 





Thus X1.2 are roots of 



or else of 



In the first case 



and in the second 



x^- ^!l^x + (^'-i) = o. 



To' Vni- 



^•^A^ + rA - 1) = 0, 



ro" \ro- 





■ X1X2 = r = 1 



Jn_ 



