GriDKD WAVK i'i{( )1'A(;ati()\ TiiKorcii (;yu()ma(;\ktic mkdia. hi 

 The A'aluc of A,,, for this case is 



2 



The \"ahie of 8tS now hecoines 

 83 ^'' 



Pmjnm «/ n \3 nm) L\M 



'./„(.r)./.'(.r) + . ./',;(.,■) 



- /-r=J„„,('-i/ro) Mil \ ^11 



(14) 



We note that for a ferrite filled siiide \nth ri — tq , the nonreciprocal part 

 of 5/3 \-anishes which confirms a result found in Part 1 of this paper for 

 weak magnetization. 



The very high dielectric constant of the ferrites (about 10) puts rather 

 sex'ere restrictions on the size of the pencils to which pertiu'bation theory 

 is applicable, even for weak magnetization. This limitation would l)e 

 substantially relaxed if we possessed exact solutions for rods of high 

 dielectric constant inserted into round guide, which could be used as the 

 basis for magnetic perturbation calculations. Unfortunately, the only 

 extensive published calculations of this kind are for dielectric constants 

 less than 3. However, at the suggestion of M. T. Weiss, a calculation of 

 the propagation constant of the lowest mode varying as e^^^ in a wave 

 guide containing a coaxial dielectric rod (ti = 10) has recently lieen made 

 in the ^Mathematics Department, for varying rod diameter, but for a 

 single \'alue of guide radius equal to 0.4 times the free space wavelength. 

 With the aid of this information, which was made available to us, the 

 magnetic perturbation calculation has been carried out. 



As before, the rachus of the guide is ro and that of the rod is rx . The 

 dielectric con.stant of the rod is ci . We consider first the propagation in 

 the unmagnetized case. Since we are considering only one mode, namely, 

 that with an angular variation, e^'^, and of the lowest order radially, we 

 need not identify the £"s and //'s by a label. We use a subscript "1" for 

 fields in the dielectric and "0" for fields in the empty part of the guide. 

 In general, we have 



a'Et = -j[c„jiV*H, + (3VE,], 

 a'Ht = -j[^3VfI^ - o:eV*E,], 

 where 



2 2 ^2 



a = 0} en — p , 

 V'E, = -aE,. 



