in Singly and Doubly Refracting Media. 



521 



The amplitude-ratio A! : A becomes, in contradistinction to 

 equation (13), variable within as without the absorption-streak. 

 For the interior of it we find 



^=. x / W -i)g-(^-i). 



m 



mK 



(F) 



It may not, perhaps, appear unsuitable in this place to ex- 

 pand correspondingly the differential equations (1) and (6), 

 and to integrate them by means of the simple expressions (3). 

 They take the form 



d 2 p __ d 2 p d 2 p 



m 



dfr 



da? 



■*l€l 



dx' 



■"lKlPi 



d 2 p 



. <Pp\ . d 2 p\ 



m '-aW = ai€l ^x 2+ ^ 



00 



'ip\, 



a *2 -JZT +*2 K 2p 2 



'"" 2 dt 2 * dx 



Integration and the elimination of a give now 



„/ , K 2 l 2 — €o , fCoP — €o 



\ l x\l 2 — e\ 



that is, 



K oi — t i 



...)-« 



t 2 -l=X 



mf K t P 



or 



also 



m *y 2 -eV 



(H) 



^-1=2^+2 



«1 _ 6^ 



mf k\ e / 1 

 mKfl l 2 -l 



e\ 



Introducing the abbreviations previously used in equation 

 (a), and also putting 



(o) 



M 2 -1 = 2 



00 



mf k x 



-1=2 



m'ei 



*v 



we get again the generalized equation (8), namely 



D' 



: -ni=S 



I 2 > 

 — — 1 

 L 2 1 



(i) 



and at the same time perceive that all the individual consti- 

 tuents participate in the formation of the two extreme refract- 

 ing forces. 



