Calculating Zernike Coefficients

• A smooth model of the 2D wavefront error is formed by weighting and summing Zernike functions.

• The coefficients in this model are found from a least-squares fit (LSF) to the fringe point data.

• The Zernike functions are orthogonal over the unit circle making the LSF very robust.

• Not everyone defines the Zernike functions in the same manner. FringeXP uses the definitions given by James Wyant:

  • http://www.optics.arizona.edu/jcwyant/Zernikes/ZernikePolynomials.htm

Notes: