Zernike calculator

Graphical calculator showing Zernike polynomials for a variety of aperture shapes.
3.7K Downloads
Updated 12 Sep 2012

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This calculator plots orthonormal polynomials for circular, annular, rectangular, hexagonal, and elliptical apertures. FRINGE Zernikes are used for the circular apertures. The annular apertures uses the polynomials derived by V. N. Mahajan, "Zernike annular polynomials for imaging systems with annular pupils," J. Opt. Soc. Am., Vol. 71, No. 1, pg 75-85 (1981). All other polynomials are from the paper V. N. Mahajan and G. M. Dai, "Orthonormal polynomials in wavefront analysis: analytical solution," Vol. 24, No. 9, pg 2994-3016 (Sept. 2007). Any errors in functions in the program are my own.

To plot a function, choose a tab from the top of the GUI, input some coefficient values in the GUI table, choose a plot mode, and click 'Update Display.'

Cite As

Christina Reynolds (2024). Zernike calculator (https://www.mathworks.com/matlabcentral/fileexchange/28652-zernike-calculator), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2012b
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Acknowledgements

Inspired by: 3D Polar Plot

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Version Published Release Notes
1.4.0.0

Updated to include an App file for R2012b

1.3.0.0

Spelling error corrected

1.0.0.0