HYPER-FREQUENCY TRANSMISSION 327 



Introducintj K of (22) for Kr, and understanding that e = ei, while it is 

 assumed that €2 = 1 , we have 



= J_ (itS ^ (48) 



" lac Wicra Vl - (/oj/)^ 



to a high precision at high frequencies (/ > /o,„) . This is, of course, the 

 contribution of the conductor and ignores the effect of the conductivity 

 of the dielectric. 



Similarly, for the fundamental //-wave, the resistance per unit 

 length of the cylinder at sufficiently high frequencies, from equations 

 (1) and (39) andthe relations 



Q = 



and 



is given by 



(49) 



Putting K of (25) for Kr, gives, to the same precision as (48), when 



/ > JOm , 



VfM2/MiO"2(/o7«')- / ^'~ 



(50) 



2«c VI - {h,n'ijr~ 



Formulas (48) and (50), respectively, may be written in the form 



ao 



VI - UelS? 



f>fc (48)' 



and 



where 



(fc'lIY f^f. (50)' 



1 /eM2/ 



"«-2^c\'m 



and /c and /c' are the critical frequencies of the fundamental E- and 

 //-waves, respectively, as given by (8) and (8)'. 



