\ 



(20) 



1156 THE BELL SYSTEM TECHNICAL JOURNAL, SEPTEMBER 1954 



are determined as follows: The right and left circular fields, upon emer- 

 gence, may be written in terms of rectangular components (with the 

 polarization of the total incident field along the x-axis) 



E/ - jEy' = r^e'-\ 



E- + jEy- = T_e^"', 

 from which the resultant field in the x-direction is seen to be 

 E,T = E,-^ + E- = \t+\ cos M -'!>+) + I T_ I cos {o^t - *_)] 

 and in the y direction 



EyT = Ey^ + Ey~ = | T- | si u {wt " $_) " | T+ | siu {uit - 4>+).J 

 The amplitude at time t, {Ej-t + Eyr')^'^, is thus given by 



ExT^ -{- EyT^ = \ T+\ + I T_ I 



+ 2| T+ I • I r_ I COS [2cof - ($_ + $+)] (21) 



The major axis of the ellipse is the maximum of {Ext" + Eyr^Y' ^Wth 

 respect to wt. It equals | 7+ | + | t_ | and is attained at 



^t = >^($_ + 4>+). 



Similarly the minor axis is the mhiimum and equals | t+ | — | t_ |. 

 The ratio of minor to major axis is therefore 



I r+ I - i r_ I 



r+ I + I T_ 



The angle between the x'-axis (the incident polarization direction) 

 and the major axis is found by substituting oit = 3^^(4>_ + ^+) in (20). 

 This gives 



E^T = (I r+ I + I T_ I) cos 



Eyr = (I T+ I + I r_ I) sin 

 which shows that the angle is 



2 



I T I and $ are plotted versus a; in Fig. 5. 7+ , $+ and t_ , $_ at given 



