Gl'IDKD WAVK PHOrAG ATION TIIHDrr.lI GYHOMAOXETK' MKDIA. Ill 111") 



The term in the (Icnoiniiialoi- may he cxaluated l)y iisinjz; 



■ 2j. c ,, , -dE, 



r dr 



jai E^ = -jc + •- is, . 



dr /• 



We obtain 



I E.in) {' + 1 Ee(r,) f -^ h \ {Er), \' 



= E/in) 



2 ;v.4 



The pertui'baf ioii may now be wi-itten: 



61 - 1 



Amo / Mo 



rr«i4 + [^ - cF{a,r,)Y + €,[c - ^F(ain)]- 



where 



A = — + F{airi) + —y- 



and c may be obtained from equation 15, and the definition of c 



Gjaori) _ . Fjaifi) 

 _ otQ^ 5i^ _ «! G(aori) — hoco FiaiTi) 



\ao- «! / 

 with 



Ni(aoro)Ji{anri) — Jj(aoro)Ni{aori) 



;i7) 



GCa-dri) = aori 



A^i(aoro)J'i(a:ori) — Ji(Q:oro)A^](anri) 



Fig. 1 shows the propagation constant as a function of the relati\'e 

 diameter, ri/vo , of the dielectric rod in the unmagnetized case, with 



€i — 10. Fig. 2 shows the deri\'ative -r: — ;— : as a function of vi/rn . The 



a{ri/rQ) 



guide racHus is 0.4 times the free space wavelength. From (Hiuntion (17) 



5^ may be written as 



