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Applied Optics

Applied Optics


  • Vol. 34, Iss. 19 — Jul. 1, 1995
  • pp: 3610–3619

Extended averaging technique for derivation of error-compensating algorithms in phase-shifting interferometry

Joanna Schmit and Katherine Creath  »View Author Affiliations

Applied Optics, Vol. 34, Issue 19, pp. 3610-3619 (1995)

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Phase-shifting interferometry suffers from two main sources of error: phase-shift miscalibration and detector nonlinearity. Algorithms that calculate the phase of a measured wave front require a high degree of tolerance for these error sources. An extended method for deriving such error-compensating algorithms patterned on the sequential application of the averaging technique is proposed here. Two classes of algorithms were derived. One class is based on the popular three-frame technique, and the other class is based on the 4-frame technique. The derivation of algorithms in these classes was calculated for algorithms with up to six frames. The new 5-frame algorithm and two new 6-frame algorithms have smaller phase errors caused by phase-shifter miscalibration than any of the common 3-, 4- or 5-frame algorithms. An analysis of the errors resulting from algorithms in both classes is provided by computer simulation and by an investigation of the spectra of sampling functions.

© 1995 Optical Society of America

Original Manuscript: May 3, 1994
Revised Manuscript: September 27, 1994
Published: July 1, 1995

Joanna Schmit and Katherine Creath, "Extended averaging technique for derivation of error-compensating algorithms in phase-shifting interferometry," Appl. Opt. 34, 3610-3619 (1995)

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