318 Mr. Gr. U. Yule on the Passage of Oscillator 



B ' A 



Solving for ^- and -—■ from (24) and (26) we get 



A 3 _ 2 





B x l + \ 



Using our previous notation of 



ie 

 \=re 2 



and rationalizing, we obtain finally for the transmitted ray 



A 3 2 



.w 1 + ^ + z r cos - 



so that the phase-change for the wave emerging from the 

 electrolyte is — ifr' (equation 16), and the reduction factor 



' /= / 2 =y- .... (28) 



^/l + r 2 + 2rcos^ 



B/ A/ 



The expression for — in (27) is the same as that for -~ 



in (8) except for the reversal of sign, so the phase-change 

 at the second surface of the electrolyte is the same ( — yjr) in 

 magnitude and sign as at the first surface, and the reduction 

 factor 



e=-b (29) 



If the electrolyte he replaced by an insulator, / takes the 

 ordinary form 



/= ^7I (80) 



and the relation 



ef=l-¥ 



holds. In the general case there is no such relation. 



IV. The Intensity of the Transmitted Ray. 



We have now all the data necessary for treating the general 

 case of a wave-train passing through a plate of finite thick- 

 ness. We will first take the incident wave-train and follow 



