OSA's Digital Library

Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 12 — Jun. 12, 2006
  • pp: 5232–5249

Tilt-shift error detection in phase-shifting interferometry

Krzysztof Patorski, Adam Styk, Luigi Bruno, and Piotr Szwaykowski  »View Author Affiliations

Optics Express, Vol. 14, Issue 12, pp. 5232-5249 (2006)

View Full Text Article

Enhanced HTML    Acrobat PDF (1614 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Temporal phase shifting in automatic interferogram analysis offers very high accuracy of phase retrieval providing that several experimental conditions are met. The paper is focused on the calibration error of unequal phase changes across the interferogram field, i.e., tilt-shift error. For its detection the lattice-site representation of phase shift angles is proposed. The error can be readily discerned using (N+1) algorithms with the last frame overlapping the first one. Four and five frame algorithms are considered. The influence of experimental parameters on the error detection sensitivity is discussed. Numerical studies are complemented by experimental results.

© 2006 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: March 30, 2006
Revised Manuscript: May 5, 2006
Manuscript Accepted: May 8, 2006
Published: June 12, 2006

Krzysztof Patorski, Adam Styk, Luigi Bruno, and Piotr Szwaykowski, "Tilt-shift error detection in phase-shifting interferometry," Opt. Express 14, 5232-5249 (2006)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Schwider, "Advanced evaluation techniques in interferometry," in Progress in Optics, E. Wolf ed., 28, 271-359 (North Holland, Amsterdam, Oxford, New York, Tokyo, 1990), Chap. 4.
  2. J. E. Greivenkamp, and J. H. Brunning, "Phase shifting interferometry," in Optical Shop Testing, D. Malacara ed., (John Wiley & Sons, Inc., New York, Chichester, Brisbane, Toronto, Singapore, 1992) Chap. 14, pp. 501-598.
  3. K. Creath, "Temporal phase measurement methods," in Interferogram Analysis: Digital Fringe Pattern Measurement, D.W. Robinson and G. Reid, eds., (Institute of Physics Publishing, Bristol, Philadelphia, 1993), Chap 4, pp 94-140.
  4. D. Malacara, M. Servin, and Z. Malacara, Interferogram Analysis for Optical Shop Testing (Marcel Dekker, Inc., New York, Basel, Hong Kong, 1998).
  5. K. Kinnstaetter, A. W. Lohmann, J. Schwider, and J. Streibl, "Accuracy of phase shifting interferometry," Appl. Opt. 27, 5082-5089 (1988). [CrossRef] [PubMed]
  6. J. van Wingerden, H. J. Frankena, and C. Smorenburg, "Linear approximation for measurement errors in phase shifting interferometry," Appl. Opt. 30, 2718-2729 (1991). [CrossRef] [PubMed]
  7. K. Patorski, Z. Sienicki, and A. Styk, "The phase shifting method contrast calculations in time average interferometry: error analysis," Opt Eng. 44, 065601; published online June 7, 2005 (2005). [CrossRef]
  8. K. Patorski, and A. Styk, "Theory and practice of two-beam interferogram modulation determination," Proc. SPIE 5958, 119-129 (2005).
  9. P. de Groot, "Phase-shift calibration errors in interferometers with spherical Fizeau cavities," Appl. Opt. 34, 2856-2863 (1995). [CrossRef]
  10. M. Chen, H. Guo, and C. Wei, "Algorithm immune to tilt phase-shifting error for phase-shifting interferometers," Appl. Opt. 39, 3894-3898 (2000). [CrossRef]
  11. A. Dobroiu, A. Apostol, V. Nascov, and V. Damian, "Tilt-compensating algorithm for phase-shift interferometry," Appl. Opt. 41, 2435-2439 (2002). [CrossRef] [PubMed]
  12. X. Ding, G. L. Cloud, and B. B. Raju, "Noise tolerance of the improved max-min scanning method for phase determination," Opt. Eng. 44, 035605; published online March 18, 2005, (2005). [CrossRef]
  13. B. Gutmann, and H. Weber, "Phase-shifter calibration and error detection in phase-shifting applications: a new method," Appl. Opt. 37, 7624-7631 (1998). [CrossRef]
  14. J. Schwider, R. Burrow, K. E. Elssner, J. Grzanna, R. Spolaczyk, and K. Merkel, "Digital wave-front measuring interferometry: some systematic error sources," Appl. Opt. 22, 3421-3432 (1983). [CrossRef] [PubMed]
  15. P. Hariharan, B. Oreb, and T. Eiju, "Digital phase shifting interferometry: a simple error compensating phase calculation algorithm," Appl. Opt. 26, 2504-2505 (1987). [CrossRef] [PubMed]
  16. A. Styk, and K. Patorski, "Identification of nonlinear recording error in phase shifting interferometry," Opt. Lasers. Eng., in press (2006).
  17. Y. Y. Cheng, and J. C. Wyant, "Phase shifter calibration in phase-shifting interferometry," Appl. Opt. 24, 3049-3052 (1985). [CrossRef] [PubMed]
  18. Y. Surrel, "Phase stepping: a new self-calibrating algorithm," Appl. Opt. 32, 3598-3599 (1993). [CrossRef] [PubMed]
  19. Q. Yu, X. Liu, and K. Andresen, "New spin filters for interferometric fringe patterns and grating patterns," Appl. Opt. 33, 3705-3711 (1994). [CrossRef] [PubMed]
  20. T. Kreis, Holographic Interferometry: Principles and Methods, (Akademie Verlag GmbH, Berlin, 1996).
  21. J. Schmit, and K. Creath, "Extended averaging technique for derivation of error-compensating algorithms in phase shifting interferometry," Appl. Opt. 34, 3610-3619 (1995). [CrossRef] [PubMed]
  22. R. Schödel, A. Nicolaus, and G. Bönsch, "Phase-stepping interferometry: methods for reducing errors caused by camera nonlinearities," Appl. Opt. 41, 55-63 (2002). [CrossRef] [PubMed]

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.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited