THORLABS DMH40-F01, Operation Manual

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© 2021 Thorlabs
7 Appendix
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7.3 About Zernikes
A wavefront can be described using Zernike polynomials. These are a sequence of polynomials
that are orthogonal on the unit circle. A variety of definitions exist for these Zernike functions.
The Thorlabs Wavefront Sensor software and this manual follows the ANSI Standard Z80.28-
210, see References
[1] .
The graphic below illustrates the impact of Zernikes to the wavefront. Here, the Zernike index
assignment is identical with the assignment used in Thorlabs Deformable Mirror software and
WFS software:
CC BY-SA 3.0
Zernike Term Shortcut Description
Z 1 - Piston
Z 2 - Tip X
Z 3 - Tilt Y
Z4 Ast45 Astigmatism 45°
Z 5 Def Defocus
Z 6 Ast0 Astigmatism 0°
Z 7 TreY Trefoil Y
Z 8 ComX Coma X
Z 9 ComY Coma Y
Z 10 TreX Trefoil X
Z 11 TetY Tetrafoil Y
Z 12 SAstY Secondary Astigmatism Y
Z 13 SAb3 3rd Order Spherical Abberation
Z 14 SAstX Secondary Astigmatism X
Z 15 TetX Tetrafoil X
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