GUIDED WAVE PROPAGATION THROUGH GYROMAGNETIC MEDIA. Ill 



For Tj\I modes \xc ha\'c 



Elm = —jl^m'^Xm 

 Htm = icOeoV*Xm 



1143 



E = -i^^ V 



■*-'3 ., An 



where 



and 



= Jn{j 





" n\Jnm) — vJ 



^OT = CO €oMO — 



Jnm 



1^ 



Proceeding as before, we find, 

 1 rx 1 



6/3 = - 



2/3. 



n' 



lo 2 M + ^« — Mo , ^ 2 € — eo 



"^ PO , , i- Pr. 



Jn'ijnmY \_ M + ^K + 



Mo 



e + Co. 



(12) 



A problem which is of some interest, although not of immediate prac- 

 tical significance, is that of a ferrite pencil of arbitrary radius and infinite 

 length in a round wave guide, with the remainder of the waveguide filled 

 Mith a non-magnetic dielectric, whose dielectric constant, ei , is equal to 

 that of the ferrite. The ferrite is supposed to be only weakly magnetized. 

 For such a problem, we have. 



5/3 = - 



2A, 



/ [(m - fio)Ht,n-Htm - JKHtm,*-fftm\dS. 



''pencil 



Htm is the field of an unperturbed TE or TM mode in the dielectric-filled 

 guide, n — Ho and k are supposed small, but 7\ , the radius of the pencil 

 need no longer be small. 



For TE modes, we have as before (again excluding the case n == 0), 



Etm = -jo)fJLO^*%n , 

 Htm = -jlSmV'^m , 



r 



^m = Jn[ U 



and 



'■nm I 6 



?'0/ 



a 2 2 Unm 



Pm — o: eo/XQ — — ir 



r) 2 "^Inm 



Pi. ~ — T 



