GUIDED WAVE PKOPAGATION THROUGH GYROMAGNETIC MEDIA. II 945 



of ferrite. Again the discussion had to be sketchy in ^•io^v of the scarcity 

 of information on the functions that solve the problem. 



2. PLANAR GEOMETRY 



2.1. Fields and Impedances 



In this section we consider planar transverse field problems which are 

 characterized by the following conditions. The dc magnetic field is of 

 uniform strength Ho within the gyromagnetic medium and points along 

 the y-axis. All rf field components are independent of the y coordinate. 

 We discuss the ferrite case first, then indicate how the results are to be 

 translated for the plasma. 



For the orientation of the dc magnetic field which has been chosen the 

 permeability matri.x is of the form: 











no 

 



-JK 







fx and K are, in general, even and odd functions of Ho; the permeability 

 of unmagnetized ferrite is taken to be no as in free space. Following the 

 procedure of Part I we shall assume specifically for n and k the formulae 

 given by Polder's treatment of the dynamics of the medium. Thus, we 

 have the expressions (for the case of no loss): 



Mo 



K 



Mo 



1 — pa — 



1 - 



1 - (72 



, and 



(1) 



_ K _ p 



fJL \ — pa — a^ 



It I 

 where a is the ratio of the precession frequency, '—— Ho , to the signal 



It I 

 frequency and p is the ratio of a frequency, -~ Mo/mo , associated with 



the saturation magnetization, Mo , to the signal frequency. It should be 

 noted that p and a have always the same sign. The behavior of fj. and k 

 as functions of a- was shown in Fig. 1(a) and (b) of Part I. pf is shown as 

 a function of a in Fig. 3. The dielectric constant of the ferrite is taken to 

 be e. For reasons given in Part I, \p 1 is assumed less than unity. 



