Zernike Polynomials

Notes

• List of Zernike Polynomials
• Notes on Zernike Polynomials (Vol. XI, Applied Optics and Optical Engineering)
• Notes on Zernike Polynomials (Mathematica Notebook)
• Eric Weisstein’s world of Mathematics

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Plots

Two-Picture Stereograms

• n = 1 (Zernikes 1, 2, 3)
• n = 2 (Zernikes 4, 5, 6, 7, 8)
• n = 3 (Zernikes 9, 10, 11, 12, 13, 14, 15)
• n = 4 (Zernikes 16, 17, 18, 19, 20, 21, 22, 23, 24)
• n = 5 (Zernikes 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35)
• n = 6 (Zernikes 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48)
• n = 1 – 6, m = 0 Zernikes (Animated gif)

Single-Picture Stereograms

• Zernike 5
• Zernike 6
• Zernike 8
• Zernike 25
• Zernike 35

A good reference for using Mathematica to generate single-picture stereograms is “The Mathematica Programmer II” by Roman Maeder.

Zernike Stereo Wallpaper

• Zernike 5
• Zernike 6
• Zernike 8 (My Favorite)
• Zernike 24
• Zernike 25
• Zernike 35

Density Plots

• n = 1 (Zernikes 1, 2, 3)
• n = 2 (Zernikes 4, 5, 6, 7, 8)
• n = 3 (Zernikes 9, 10, 11, 12, 13, 14, 15)
• n = 4 (Zernikes 16, 17, 18, 19, 20, 21, 22, 23, 24)
• n = 5 (Zernikes 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35)
• n = 6 (Zernikes 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48)

 

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