rOT^PLKD AV.WE TITF.OTIV .WD AV.\ VKni^IDE \PPT>Tr.\TTOXS OO.S 



t.o 



0.9 



0.5 



-0.02 -0.04 -0.1 -0.2 -0.4 -t.o -2.0 -4.0 -10 -20 -40 -100 



c 

 Fig. .'52 — Available power versus (on — 0.-1) /c for several cases of interest. 



TIGliT COUPLING EFFECTS OF MULTIPLE DISCRETE COUPLINGS 



In practice it is convenient under some conditions to produce the de- 

 sired coupling between transmission lines using multiple discrete cou- 

 plings. It is then of interest to know the relation between the total power 

 transferred and the number and strength of the individual couplings. It 

 is the purpose of this section to state these relations. 



We assume two transmission lines having identical propagation con- 

 stants, with coupling units located at intervals along the lines as shown 

 schematically in Fig. 33. A coupling unit may be a single point coupling, 

 or an array of point couplings, but is always assumed to have the property 

 of low reflection in the driven line and low back-wave transmission in 

 the undri\'en line. If there are 



n\ couplings of magnitude ax , 



n-2 couplings of magnitude a^ , 

 and 



Hk couplings of magnitude ak 

 located along the lines in any order whatsoever, the wave amplitudes in 



Vo = 



Eo=i.o 



V2 



ETC. 



E, Ez 



Fig. 33 — Schematic of transmission lines with multiple jjoint couplings. 



