Table 1.
Orthonormal Zernike Circle Polynomials
|
|
|
| Aberration |
---|
1 | 0 | 0 | 1 | Piston |
2 | 1 | 1 |
|
tilt |
3 | 1 | 1 |
|
tilt |
4 | 2 | 0 |
| Defocus |
5 | 2 | 2 |
| 45° primary astigmatism |
6 | 2 | 2 |
| 0° primary astigmatism |
7 | 3 | 1 |
| Primary
coma |
8 | 3 | 1 |
| Primary
coma |
9 | 3 | 3 |
| |
10 | 3 | 3 |
| |
11 | 4 | 0 |
| Primary spherical |
Table 2.
Orthonormal Polynomials for a Circular Sector Pupil with Angular Subtense of
Symmetrical about the
Axis, as in Fig. 1(a)
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Table 3.
Orthonormal Polynomials for a Circular Sector Pupil with Angular Subtense of
Symmetrical about the
Axis, as in Fig. 3(a)
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Table 4.
Orthonormal Polynomials for a Circular Sector Pupil with Angular Subtense of
Symmetrical about the
Axis, as in Fig. 4
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Table 5.
Orthonormal Polynomials for a Semi-circular Pupil Symmetrical about the
Axis, as in Fig. 5(a)
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Table 6.
Orthonormal Polynomials for an Annular Sector Pupil with Obscuration Ratio
and Angular Subtense of
Symmetrical about the
Axis, as in Fig. 1(b)
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Table 7.
Orthonormal Polynomials for a Semi-annular Pupil with Obscuration Ratio
Symmetrical about the
Axis, as in Fig. 5(b)
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Table 8.
Annular Polynomials
for an Annular Pupil with Obscuration Ratio
|
|
|
| Aberration |
---|
1 | 0 | 0 | 1 | Piston |
2 | 1 | 1 |
|
tilt |
3 | 1 | 1 |
|
tilt |
4 | 2 | 0 |
| Defocus |
5 | 2 | 2 |
| 45° primary astigmatism |
6 | 2 | 2 |
| 0° primary astigmatism |
7 | 3 | 1 |
| Primary
coma |
8 | 3 | 1 |
| Primary
coma |
9 | 3 | 3 |
| |
10 | 3 | 3 |
| |
11 | 4 | 0 |
| Spherical aberration |