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BELL SYSTEM TECHNICAL JOURNAL 



By substituting the expression for 4(7r/3)^ given in equation (28) into 

 (33) we obtain 



+ t 



eo + 2 



+ 2 



eo + 2 €oo + 2 



(34) 



eo 



eo + 2 Coo , 

 Eo + 2 \ Coo + 2 eo 



1 



eo + 2 



1 + t p^ COT 



Coo + 2 



Then, by setting 



we obtain 



(34a) 



(35) 



(36) 



and transforming this into polar form to faciHtate division gives 



£ _ Plg"^l ^ pl 



eo P2e'*'2 P2 

 where 



Pl = 



cos (v?! — v'2) + ^sin (v?! — (^2) 



1 + I I w-r- 



eo 



P2 = [1 + coV2]s 



(37) 



^Pl = tan~^ — cor and <P2 = tan ^ cor. 



eo 



Equation (37) then gives 



1 + '-- coV^ ^- 



eo 1 + coV^ ^ 



1 + coV2 



or 



1 - - ^- ( j:^ _ 1 cor 



_e^ _ e^ _l e^ \ eo / 



eo ~ eo "^ 1 + coV^ ^ 1 + co^r^ 



(38) 



(38a) 



from which we obtain 



+ 



eo 



eao ^(eo — eoo)w7- 



1 + coV^ 1 + co^r^ 



(39) 



