Analysis of Seidel aberration by use of the discrete wavelet transform

Rong Seng Chang, Jin Yi Sheu, Ching Huang Lin

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

Seidel aberration coefficients can be expressed by Zernike coefficients. The least-squares matrixinversion 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.

Original languageEnglish
Pages (from-to)2408-2413
Number of pages6
JournalApplied Optics
Volume41
Issue number13
DOIs
StatePublished - 1 May 2002

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