1192 THE BELL SYSTEM TECHNICAL JOURNAL, SEPTEMBER 1957 



-^ VittVu - ?'uxru = ::: I -4 — 1 



CO 



Ci^ 





,T 



X 



. 2a;.i: , 2co.r\ ,^ , 



/•i sm + }'2 COS J COS 2oof 



, C2 C2 / 



, / 2wx . 2wa;\ . ,^ , 

 + I rs cos — r4 sin 1 sm 2wf 



\ C2 Co / 



(92) 



2aja; 



. 2wx , 

 + r5 sm + r2 cos 



C2 C2 



where the r's, which are proportional to the square of the ampHtude A, 

 are 



n = Re {B{ + Bo'), 

 r-2 = Im (5r - B2'), 

 n = Re {B{ - B2'), 

 r4 = Im {B{ + 52"), 

 rs = 2Re BS2 , 



re = rs + 



2 2 

 e r2 



^2 



[The quantity u will be used subsequently.] Similarly, for the right-hand 

 side of (87c) we get 



77if \ -^ 771U — vm 



= e " [(ai cos 2c7f + 02 sin 2o-f) cos 2wi 



(93) 



-f (ai sin 2(7^ — a2 cos 2o-f) sin 2c<ji + a-i], 



where 



q\ = - (p + ^'f^), 



ai 



a2 



i^ 



2 



2 



az=\F 



?i 



?i 



CO 



- cos(2/+g) + I 51 1^ cos (2/ + 



CO 



^j sin (2/ + y) + 1 51 r sin (2/ + 



3ff)], 



k:^ j + ' '■ 



p, 



