1146 THE BELL SYSTEM TECHNICAL JOURNAL, SEPTEMBER 1954 



and €, fjL refer, for the time being, to the dielectric constant and perme- 

 ability of the region considered. It will be convenient to put 



t — \/ — JJz,t ; 



\ Mo 



Mo 



m; 



/5 



wVenMo 



CO V foMo 



1 

 and to measure lengths in terms of ' — 7= . We shall continue to use 



coVMoeo 



V and V* with the understanding that they refer to the scaled units. 

 We noAv have 



ja'Ht = )8 V^. - -eV*E, , 



_2 -_ 52 



V £", = — a E, . 



At the surface of the rod E^ , H^ , E^ and H^ are continuous. We must 

 have 



1 



\ dr /o 



and 



where 



"0- 



ro 



dr /o n 







dr 



1 



dr /i j'l 



Cl 



61 = -, 



€0 



cto" = 1 



and 



- - - a^ 



Oil = ei — p . 



jix = 1, everywhere, if the uimiagnetized ferrite has the permeability of 

 free space. 



These equations may be rearranged in the form: 





1 (du, 



. ^ U^{r^ \ dr /o. 



+ A. 



1 



r\ 



dH, 



1 



"o- «iV 1, «o- 



nJ: rJ.2 



ri 



«!- L H^iri) \ dr /i 

 £'.(ri) V dr Jo 



+ ^ 



Ti 



1 /dE, 



ai' L ^.(n) V dr )x_ 



jH.{r,), 



EM). 



(15) 



