460 Mr. E. Talbot Paris on the Polarization of 



1. Theoretical. 

 Let a beam of unpolarized ligbt, travelling in the negative 

 direction along the axis o£ s, be incident on a spherical 

 obstacle placed with its centre at the origin (fig. 1). Sup- 

 pose that observations on ihe polarization of the scattered 



Fisr. 1. 



y 



light are made in the x 3 z plane at a distance r from the 

 origin. Let 6 be the angle between tbe direction of obser- 

 vation and the incident beam. The simplest thing to measure 

 experimentally is the ratio of the intensity of the vertical 

 component of the scattered light, parallel to Ch/, to the in- 

 tensity of the horizontal component in the a, z plane, per- 

 pendicular to the direction of observation. 



If X, Y, Z denote the electric forces parallel to the three 

 axes in the scattered wave, these two components are respec- 



tively Y and ' ^— . Rayleigh has shown that Love's 



solution leads to the following expressions for these two 

 components : — 



Y=2 (-)»+' 



2;i+l 



xZ-zX 



X(-y 



+ i 



, (;i+ ^ > [M,{/J','-«(n + l)P.} 



] e ik{ct-r) 



2w + l 



n(n + 1) 



M„P '] - 



k[ct— r) 



(1) 



(2) 



