Table 1
Coordinates of Points of Intersection with Each Surface of a Corner Cube, a = 10 cm
Surface
|
Intersection Coordinates
|
---|
Base (input) |
O
1 (-2.5000, 4.0000, 3.5000) |
ACO
|
O
2 (0.0000, 1.5000, 1.0000) |
ABO
|
O
3 (-1.000, 0.5000, 0.0000) |
BCO
|
O
4 (-1.500, 0.0000, 0.5000) |
Base (output)
|
O
5 (-4.1667, 2.6667, 3.1667)
|
Table 2
Unit Vectors Along the Segmented Light Path
Unit Vector
|
Coordinate
|
---|
L
0
|
(0.5774, -0.5774, -0.5774) |
L
1
|
(0.5774, -0.5774, -0.5774) |
L
2
|
(-0.5774, -0.5774, -0.5774) |
L
3
|
(-0.5774, -0.5774, 0.5774) |
L
4
|
(-0.5774, 0.5774, 0.5774) |
L
5 |
(-0.5774, 0.5774, 0.5774)
|
Table 3
Angles Between the Surface Normals and n1
Surface Normal
|
Angle
|
Surface Normal
|
Angle
|
---|
n
2
|
60.0000 |
n
4
|
120.0000 |
n
3 |
90.0000
|
n
5 |
0.0000
|
Table 4
Angles for Surface Normals Relative to n6
Surface Normal
|
Angle
|
Surface Normal
|
Angle
|
---|
n
1
|
79.1066 |
n
4
|
40.8934 |
n
2
|
19.1066 |
n
5
|
79.1066 |
n
3 |
55.4624
| | |
Table 5
Angles of Rotation of Coordinates (deg)
Normals
|
Rotation
|
Angle
|
---|
n
1, n
2
|
α1
|
-60.0000 |
n
2, n
3
|
α2
|
-60.0000 |
n
3, n
4
|
α3
|
60.0000 |
n
4, n
5 |
α4 |
-120.0000
|
Table 6
Jones Matrices, Eigenvectors, and Eigenvalues for the Counterclockwise Propagation Trips of a Corner-Cube Retroreflector
Jones Matrix
|
Eigenvectors and Eigenvalues
|
---|
ACO → ABO → BCO
| | |
|
|
V
e 1 = 0.0290 + 0.9996i; |
|
|
V
e 2 = -0.9638 + 0.2665i. |
ABO → BCO → ACO
| | |
|
|
V
e 1 = 0.9733 + 0.2296i; |
|
|
V
e 2 = -0.5058 - 0.8626i. |
BCO → ACO → ABO
| | |
|
|
V
e 1 = 0.9733 + 0.2296i; |
|
|
V
e 2 = -0.5058 - 0.8626i.
|
Table 7
Jones Matrices, Eigenvectors, and Eigenvalues for the Clockwise Propagation Trips of a Corner-Cube Retroreflector
Jones Matrix
|
Eigenvectors and Eigenvalues
|
---|
BCO → ABO → ACO → | | |
|
|
V
e
1 = 0.0290 + 0.9996i; |
|
|
V
e
2 = -0.9638 + 0.2665i. |
ACO → BCO → ABO
| | |
|
|
V
e1 = 0.9733 + 0.2296i; |
|
|
V
e2
= -0.5058 - 0.8626
i. |
ABO → ACO → BCO
| | |
|
|
V
e1 = 0.9733 + 0.2296i;
|
|
|
V
e2 = -0.5058 - 0.8626i.
|
Table 8
Experimental Results for the Determination of the Linear Eigenpolarizations of a Corner Cube
Azimuth for Input Eigenpolarization
|
Polarizer Azimuth (deg)
|
Analyzer Azimuth, 90° (deg)
|
ℒ
|
---|
13.68 |
13.77 |
13.18 |
0.9998 |
103.68 |
103.38 |
102.72 |
1.0000 |
13.68 + 180 |
193.65 |
192.80 |
0.9999 |
103.68 + 180
|
283.52
|
283.39
|
0.9999
|