Geometric OPD Map - Print Zernike Coefficients

Navigation: Analyses Commands > Geometric OPD Map > Print Zernike Coefficients

Print Zernike Coefficients

Page Contents

Description

Navigation

Controls

Application Notes

•Accuracy of coefficients

•RMS Deviation

Related Topics

Description

This feature prints the Zernike coefficients of the unmodified OPD map to the output window. The maximum term number is 65 and the user can specify a minimum magnitude cutoff value below which the terms will not be listed in the output window. For a listing of the Zernike terms used by FRED, please see the Zernike Surface help page.

Navigation

This feature can be accessed in the following ways:

•Right mouse click on the OPD map and select "Print Zernike Coefficients" from the list menu.

Controls

Control	Inputs / Description	Defaults
Coefficient Selection
Max Number of Terms	Select the maximum Zernike term number (1<=N<=65) to print to the output window.	65
Exclude coefficients ....	Terms with magnitudes less than this value will not be printed to the output window.	0

OK	Accept settings and close dialog box.
Cancel	Discard settings and close dialog box.
Help	Access this help page.

Application Notes

Accuracy of coefficients

Coefficients are calculated by projecting the OPD Map onto the corresponding Zernike function. The quality of this inner-product integration is limited by the resolution of the OPD Map. While the Zernike terms are mutually orthogonal when integrated analytically, they are not perfectly orthogonal when integrated numerically on a rectangular grid. Consequently there can be small amounts of "bleed-over" between terms.

RMS Deviation

The RMS deviation of the Zernike terms over the aperture, calculated using all Zernike coefficients (terms 0 thru 65), is printed after the table of coefficients.