OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 17, Iss. 11 — Nov. 1, 2000
  • pp: 2061–2066

Phase-shift calibration algorithm for phase-shifting interferometry

Xin Chen, Maureen Gramaglia, and John A. Yeazell  »View Author Affiliations

JOSA A, Vol. 17, Issue 11, pp. 2061-2066 (2000)

View Full Text Article

Enhanced HTML    Acrobat PDF (132 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We propose a novel phase-shift calibration algorithm. With this technique we determine the unknown phase shift between two interferograms by examining the sums and differences of the intensities on each interferogram at the same spatial location, i.e., I1(x, y)±I2(x, y). These intensities are normalized so that they become sinusoidal in form. A uniformly illuminated region of the interferograms that contains at least a 2π variation in phase is examined. The extrema of these sums and differences are found in this region and are used to find the unknown phase shift. An error analysis of the algorithm is provided. In addition, an error-correction algorithm is implemented. The method is tested by numerical simulation and implemented experimentally. The numerical tests, including digitization error, indicate that the phase step has a root-mean-square (RMS) phase error of less than 10-6 deg. Even in the presence of added intensity noise (5% amplitude) the RMS error does not exceed 1 deg. The accuracy of the technique is not sensitive to nonlinearity in the interferogram.

© 2000 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

Original Manuscript: October 22, 1999
Revised Manuscript: March 31, 2000
Manuscript Accepted: March 31, 2000
Published: November 1, 2000

Xin Chen, Maureen Gramaglia, and John A. Yeazell, "Phase-shift calibration algorithm for phase-shifting interferometry," J. Opt. Soc. Am. A 17, 2061-2066 (2000)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. P. K. Rastogi, Holographic Interferometry (Springer-Verlag, Berlin, 1994).
  2. D. Malacara, M. Servin, Zacarias Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker Inc., New York, 1998).
  3. D. W. Robinson, G. T. Reid, eds., Interferogram Analysis (Institute of Physics, Bristol, UK, 1993).
  4. Y. Y. Cheng, J. C. Wyant, “Phase shifter calibration in phase-shifting interferometry,” Appl. Opt. 24, 3049–3052 (1985). [CrossRef] [PubMed]
  5. P. Carré, “Installation et utilisation du comparateur photoélectrique et interferentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966). [CrossRef]
  6. K. Jambunathan, L. S. Wang, B. N. Dobbins, S. P. He, “Semiautomatic phase shifting calibration using digital speckle pattern interferometry,” Opt. Laser Technol. 27, 145–151 (1995). [CrossRef]
  7. N. A. Ochoa, J. M. Huntley, “Convenient method for calibrating nonlinear phase modulators for use in phase-shifting interferometry,” Opt. Eng. (Bellingham) 37, 2501–2505 (1998). [CrossRef]
  8. Hedser van Brug, “Phase-step calibration for phase-stepped interferometry,” Appl. Opt. 38, 3549–3555 (1999). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Fig. 1 Fig. 2 Fig. 3
Fig. 4

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited