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BELL SYSTEM TECHNICAL JOURNAL 



One other quantity may be of some interest; that is the phase angle of 

 electronic tuning at half power and at extinction. We already have an 

 expression involving A^o (the value at extinction) in (7.4). By taking ad- 

 vantage of (3.10) and (3.8) (F'igs. 5 and 11), we can obtain Ado vs. Gr/ye 



70 



50 



30 



LU 20 



0.4 0.5 0.6 



M _ Gr 



Qoy ye 



0.8 



Fig. 17. — The phase of the drift angle for extinction and half power vs the ratio o 

 resonator loss to small signal electronic admittance. 



{ = M/Qye) for optimum loading. By referring to Fig. 12 we can obtain the 

 relation for A6i (the value at half power) 



Gc = ye [2Ji{Xo/V2)/{Xo/\/2)] cos A^j. 

 However, we have at A^ = 



Gc = ye [2/,(A'-o)/Xo]. 



Hence 



cos AOi = 



JiiXo) 



V2MXo/V~2)- 



(7.11) 

 (7.12) 

 (7.13) 



Again, from (3.10) and (3.8) we can express A'o for optimum j^ower at Ad = 

 in terms of Gc/ye • In Fig. 17, A^o and A6{ are plotted vs. Gc/ye for 

 optimum loading. 



