1 8 L. B. Tuckerman 



tain the effect of a doubly refracting- plate upon any elliptically 

 polarized light, it is only necessary to place the axis of the sphere 

 at the azimuth of the plate, locate on the sphere by means of the 

 latitude and longitude circles the point corresponding to the in- 

 cident light and rotate the sphere through an angle equal to the 

 order of the plate. The new readings given by the point on the 

 latitude and longitude circles then show directly the ellipticity 

 and azimuth of the emergent light. 



APPLICATIONS OF THE THEOREM 



6. The Effect of a Single Plate 



The incident light is referred to its major and minor axes, and 

 the angle between its major axis and the plane of the ordinary 

 vibration in the plate is 6 o . 



P=P 



V r °i+e\ (16) 



K=o 



P=P« 



i—e- 



Q l =Po T ^-f^s 2 o o 



K=P o —-^ sin 2 o cos"2iriV;+P.-^V.sin2irA r 1 



S l =-P I T ^sin2d o sm2irN 1 +P -^ f COS2irN 1 



If the incident light is plane polarized, e=o and S=o, and the 

 equations reduce to: 



Pi=P. 



Q=P o cos 2 6 o 



tC l =zP o sm20 o cos2irJV 1 (34) 



S=—P sin 2 6 o sin 2w N t 



174 



