316 
DR. BREWSTER ON THE PHENOMENA AND LAWS 
Table II. Showing the numbers of reflexions from silver at which elliptically 
polarized light is restored to a single plane of polarization, with the cor- 
responding angles of restoration, and the position of the plane of restora- 
tion in relation to the plane of reflexion, computed for 20 reflexions. 
(For angles greater than the maximum polarizing angle.) 
No. of Re- 
flexions. 
Integer Multiples. 
Angle of 
Restora- 
tion. 
No. of Re- 
flexions. 
Integer Multiples. 
Angle of 
Restora- 
tion. 
o 
2 
+ 4-6 + 8-10 + 12-14 + 16 — 18—20 
o 
73 
/ 
0 
H 
3.8 
-19 
o / 
82 8 
21 
2.111 
-19 
74 
9 
— 4 
4 
+ 8 — 12 + 16 — 20 
82 30 
2+ 
2.125 
+ 17 
74 
18 
44- 
4.25 
+ 17 
82 58 
2 r 
2.143 
— 15 
74 
28 
44 
4.333 
— 13 
83 16 
2.167 
+ 13 
74 
44 
44 
4.5 
+ 9+18 
83 23 
2* 
2.200 
— 11 
75 
0 
41 
4.667 
-14 
83 38 
n 
2.222 
—20 
75 
12 
44 
4.75 
+ 19 
83 45 
24 
2.256 
+ 9 + 18 
75 
26 
— 5 
5 
+ 10-15 + 20 
84 5 
2-2* 
2.286 
-16 
75 
43 
51 
5.333 
-16 
84 27 
2£ 
2.333 
-7 + 14 
76 
2 
51 
5.5 
+ 11 
84 38 
24 
2.375 
+ 19 
76 
19 
51 
5.667 
-17 
84 48 
2£ 
2.4 
— 12 
76 
33 
- 6 
6 
+ 12—18 
85 6 
2-2- 
2.428 
+ 17 
76 
44 
65 
6.333 
-19 
85 22 
24 
2.5 
+ 5+10+15 + 20 
77 
13 
61 
6.5 
+ 13 
85 30 
2* 
2.571 
-18 
77 
38 
61 
6.667 
— 20 
85 36 
2£ 
2.6 
-13 
77 
48 
- 7 
7 
+ 14 
85 49 
OJ 
2.667 
-8+16 
78 
38 
71 
7.5 
+ 15 
86 7 
2-2- 
2.7 1 4 
-19 
78 
23 
— 8 
8 
+ 16 
86 21 
0.1 
~*T 
8.75 
+ 11 
78 
33 
81 
8.5 
+ 17 
86 35 
0 4. 
2.8 
-14 
78 
47 
- 9 
9 
+ 18 
86 46 
0 5. 
2.833 
+ 17 
78 
57 
9 t 
9-5 
+ 19 
86 56 
24 
2.857 
— 20 
79 
4 
— 10 
10 
+ 20 
87 5 
-3 
3.0 
+ 6-9+12—15+18 
79 
40 
-11 
11 
87 20 
3£ 
3.167 
+ 19 
80 
37 
-12 
12 
87 35 
3 f 
-16 
80 
24 
— 13 
13 
87 46 
:H 
3.25 
+ 13 
80 
34 
— 14 
14 
87 56 
34 
3.333 
-10 + 20 
80 
50 
-15 
15 
88 4 
3 { 
3.4 
-17 
81 
2 
-16 
16 
88 11 
3 J 
3.5 
+ 7+14 
81 
19 
-17 
17 
88 18 
3 £ 
3.6 
— 18 
81 
35 
— 18 
18 
88 24 
3 f 
3.667 
— 11 
81 
45 
-19 
19 
88 28 
3 
3.7 5 
+ 15 
81 
57 
— 20 
20 
88 33 
The first column of the preceding Tables shows the smallest number of re- 
flexions at which a pencil of elliptically polarized light is restored to a single 
plane of polarization at the angle contained in the fourth column ; and con- 
sequently the half of these numbers is the number of reflexions at which light 
is elliptically polarized at the same angle. Thus at three reflexions the ray is 
