20 



BELL SYSTEM TECHNICAL JOURNAL 



with the relative high frequency resistivity 



)r = A/- 

 \ P 



P 



Pcopper 



9.65-10'(l +i)QV 



Its absolute value 



1.366 • 10 W°-^ 

 RoPril - v') , 



1.1 



1.0 



0.9 



5 0.8 



O 0.7 



I- 

 a. 0.6 



i 0.5 



UJ 



UJ 0.4 

 0.3 

 0.2 

 0.1 



0.2 



I 2 4 6 6 10 



COUPLING DISCRIMINANT, |K| 



100 



Fig. 3 



As shown in equation 4-6, the differences between the propagation 

 constants of the TMn and TEoi waves are proportional to the intrinsic 

 skin impedance Ri which contains the factor (1 + ;). This means that the 

 phase and attenuation constants of the two waves differ by equal amounts 

 in accordance with ''Case J" of Section 1. For this case the power ratio 

 per 1.2-20 may be written 



Vi+j\K\^-\ 



The numerical value of this function is plotted on Fig. 3. It can be 

 computed conveniently by means of the following au.xiliary parameters: 



Vl + .7 i K !" = P + J9 = cosh .V -h j sinh .v 4-9 



W = 



