516 THE BELL SYSTEM TECHNICAL JOURNAL, JULY 1951 



fmr\ . 



sin!^^ (V-12) 



P=l/2vW"€Cos'^ (V-13) 



7=1 (V-14) 



W = 1/2 Vl^ld (V-15) 



For comparison let us write down these same quantities for the transmis- 

 sion line of Fig. 8. This can be done in an obvious way from equations 

 (IV-23) to (IV-28) and by use of the characteristic equation (IV-30). We 

 have then approximately, 



^« = -4 (V-16) 



V2 



- V2 vi 



(V-17) 



^ = \\/^/ (V-19) 



and in the shield 



/ = ^ (V-21) 



If we let €i = e, the second set of equations has been normalized to the 

 same transmitted power as the first set. A comparison of these equations 

 is shown in Fig. 11. The decreased attenuation of the laminated line, is, if 

 course, accounted for by its much smaller current density, even though its 

 total current is bigger by a f actor V2. Only the fundamental mode of the 

 laminated hne is considered in Fig. 11. The higher modes will be discussed 

 in the next section. 



VI. Modes of Transmission 



We have seen that both the transmission line partly filled with lamina- 

 tions as in Section IV, and the completely filled fine described in Section V, 



