Official websites use .gov
A
.gov website belongs to an official
government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you've safely
connected to the .gov website. Share sensitive
information only on official, secure websites.
Zernike polynomials used in this paper
| Zernike mode | Type | Form |
|---|---|---|
| Z5 | Astigmatism | 2 r2cos(2θ) |
| Z6 | Astigmatism | 2 r2sin(2θ) |
| Z7 | Coma | 2 (3r3 − 2r)cos(θ) |
| Z8 | Coma | 2 (3r3 − 2r)sin(θ) |
| Z9 | Trefoil | 2 r3cos(3θ) |
| Z10 | Trefoil | 2 r3sin(3θ) |
| Z11 | Spherical (1st) |
 (6r4 − 6r2 + 1) |
The definition of the Zernike polynomials and the indexing scheme are explained in ref. 15.
