Seidel aberration coefficients can be expressed by Zernike coefficients. The least-squares matrix-inversion method of determining Zernike coefficients from a sampled wave front with measurement noise has been found to be numerically unstable. We present a method of estimating the Seidel aberration coefficients by using a two-dimensional discrete wavelet transform. This method is applied to analyze the wave front of an optical system, and we obtain not only more-accurate Seidel aberration coefficients, but we also speed the computation. Three simulated wave fronts are fitted, and simulation results are shown for spherical aberration, coma, astigmatism, and defocus.
© 2002 Optical Society of America
Rong-Seng Chang, Jin-Yi Sheu, and Ching-Huang Lin, "Analysis of Seidel Aberration by Use of the Discrete Wavelet Transform," Appl. Opt. 41, 2408-2413 (2002)