MR.. G. A. SCHOTT ON THE REFLECTION AND REFRACTION OF LIGHT. 853 
These give, when Iq = 0, 
E2 = 
=- 
/ ^1 — /^(. y 
/^i + /^o/ L 
(h-i + 
1 + 4 SVo/^i 
1 - 82 
(A - /.„^)(A - - C) ~ 
(Ai — /^o ) 
(A - + (^2 _ - 0)' 
(/^•+ Mo)“ 
the same as for vibrations parallel to the plane of incidence, as should be the case. 
• • 77* 
At the polarizing angle, when + h) = have, since then 
M = (1 + l/2mo2 + l/2mi2), 
/if + /io“ 
R2 = 482. 
, (A-y^„^)(A-/i,^) + (/id-/io2)(B-C) 
A(i* + 14/i|,Vd + /ii®)2 
__^A'(/ii2-/io")+(A-/ii2) —o - (A-/i,/)^ 
+ W — "- " 
^2 _ W ■ (/^^ + /in2)^ 
/Ao® + 14/XoVd + ^i® 
(^o«+14;ioVd + /ii«)^ 
1 _ S2 — (A — /Xq^) (A —/id) + (/id —/in^) (l'> — C) 
‘ /id + /io2 /io^+14/ioV + /^]^ 
- 28 
H'oH'i W — f^o^f + — ~~2 — (A -yUo^) 
(/id+Ao^)^ 
/ioH14/ioVd + /^i® 
tan p = - - '/2.< - l/2mi=>) 
I Ao *'-(/io^+ F /*-d) (/*-f A) [ _ /ii2)“ I 2 , / 2\ 
~r . / . 2 V'TTT /..2 .. 2\5 1 ^ .. 8 I 1 /I .. 4,, 4 I ., 8 V I ^/''H ) 
/io*+14/ioVd + /id 
§ 6. Summary of Results. 
We shall shortly summarize those results that are of use lor comparing with 
experiment. 
Vibrations 'peiperidicular to plane of iyicidence. Plane oj polarization parallel to 
plane of incidence. 
These give the sine-formula of, Fresnel, which holds for parallel polarized light. 
1 
/Tj 11 \2_ sin^ (iq h) 
^ sin3(^ + g 
, , , CV.7 • • (A—/io2)(A—/4 i 2) + (B —C)(/ii2— [xd) 
1-1-48^. p-Q/ij cos Iq cos / j - - — s-- 
(^pp—Pol" 
tan (p 11) = 2 8. po cos i^.-f 
Pj- — A 
H'l H'u 
(VIII, 
p. 840). 
