Reflection and Refraction of Light. 



157 



!lf — j A _-(a*+&y+«:-arf)^-l 





A ( — a.r + ty+cz— w£ V — 1 



i "R „ 2 z ,(°ii*+fy+<w-«<)'^ 



V=r, 



+ B i/a/i 6« (fl "* +6y+eir - w< 



r,if 



in Vip in ) 



Q (.—ax+by+cz-<at)V 



+ B u a. l ce (a " x+b " +C2 - (0tW - 1 \ s/ - 1 ; 

 are the components of the displacements in the 



or, if 

 ft V, I 



t 

 I 



( incident ~\ 



< reflected > wave, %,v,l are such that 



(^pressural j 



r=M-f,+&5 



dp = dP + dp 



dx dx dx 



drf aY 

 dx dx 



dx ~~ dx dx' 



d% _d% rfg, t <% dii^dv^drjj + dy Uj ^ = ^ + ^j/ + f% 

 dx dx dx dx dx dx dx dx dx dx dx dx * 



In the same way, for the second medium the corrected 

 Tallies of the displacements are such that 



P=?+P', j=4+v", ?=?'+£"; 



dx 

 where 



iii ii w/ > are the components of the displacements in the \ Dregcura i [wave. 

 Finally, assuming*, that for x = 0, 



~t-p ~-J y_vT «_# a^_H dX_d? m 



we have as the interfacial conditions, that for # = 0, 



?+ft+ft,= ?+r, i+*,+i,= v+v, 



dx dx dx dx dx ' dx dx dx dx dx ' 



d l+^i + d k = d l + d l. 



dx dx dx dx dx ' 

 * C. R. ix. p. 94. 



H6) 



