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. 2002 Apr 16;99(9):5788–5792. doi: 10.1073/pnas.082544799

Table 1.

Zernike polynomials used in this paper

Zernike mode Type Form
Z5 Astigmatism 2Inline graphicr2cos(2θ)
Z6 Astigmatism 2Inline graphicr2sin(2θ)
Z7 Coma 2Inline graphic(3r3 − 2r)cos(θ)
Z8 Coma 2Inline graphic(3r3 − 2r)sin(θ)
Z9 Trefoil 2Inline graphicr3cos(3θ)
Z10 Trefoil 2Inline graphicr3sin(3θ)
Z11 Spherical (1st) Inline graphic(6r4 − 6r2 + 1)

The definition of the Zernike polynomials and the indexing scheme are explained in ref. 15