OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 9, Iss. 10 — Oct. 1, 1992
  • pp: 1740–1748

Design and assessment of symmetrical phase-shifting algorithms

K. G. Larkin and B. F. Oreb  »View Author Affiliations

JOSA A, Vol. 9, Issue 10, pp. 1740-1748 (1992)

View Full Text Article

Enhanced HTML    Acrobat PDF (863 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Conventional phase-shifting algorithms based on a least-squares estimate use N samples over an incomplete period of the sampled waveform. We introduce a class of phase-shifting algorithms having N + 1 samples symmetrically disposed over one full period of the sampled waveform. Fourier analysis techniques are used to derive these algorithms and modify them to improve their performance in the presence of phase-shift errors. The algorithms can be used in phase measurement systems having periodic, but not necessarily sinusoidal, waveforms.

© 1992 Optical Society of America

Original Manuscript: April 2, 1992
Manuscript Accepted: May 7, 1992
Published: October 1, 1992

K. G. Larkin and B. F. Oreb, "Design and assessment of symmetrical phase-shifting algorithms," J. Opt. Soc. Am. A 9, 1740-1748 (1992)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. Creath, “Phase-measurement interferometry techniques,” in Progress in Optics, E. Wolf, ed. (Elsevier, New York, 1988), Vol. 26, Chap. 5, pp. 349–383. [CrossRef]
  2. K. A. Stetson, W. R. Brohinsky, “Electrooptic holography and its application to hologram interferometry,” Appl. Opt. 24, 3631–3637 (1985). [CrossRef] [PubMed]
  3. P. Harihan, B. F. Oreb, N. Brown, “Real-time holographic interferometry: a microcomputer system for the measurement of vector displacements,” Appl. Opt. 22, 876–880 (1983). [CrossRef]
  4. P. Carre, “Installation et utilisation du comparateur photoelectrique et interferentiel du Bureau International des Poids et Mésures,” Metrologia 2, 13–16 (1966). [CrossRef]
  5. J. C. Wyant, “Interferometric optical metrology: basic principles and new systems,” Laser Focus (May, 1982), pp. 65–71.
  6. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, D. J. Brangaccio, “Digital wavefront measuring interferometer for testing optical surfaces and lenses,” Appl. Opt. 13, 2693–2703 (1974). [CrossRef] [PubMed]
  7. J. E. Greivenkamp, “Generalized data reduction for heterodyne interferometry,” Opt. Eng. 23, 350–352 (1984). [CrossRef]
  8. C. J. Morgan, “Least-squares estimation in phase-measurement interferometry,” Opt. Lett. 7, 368–370 (1982). [CrossRef] [PubMed]
  9. K. Freischlad, C. L. Koliopoulos, “Fourier description of digital phase-measuring interferometry,” J. Opt. Soc. Am. A 7, 542–551 (1990). [CrossRef]
  10. R. Bracewell, The Fourier Transform and Its Applications, USA, Electrical and Electronic Engineering Series (McGraw-Hill, New York, 1965).
  11. P. Hariharan, B. F. Oreb, T. Eiju, “Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506 (1987). [CrossRef] [PubMed]
  12. J. Schwider, R. Burow, K. E. Elssner, J. Grzanna, R. Spolaszyk, K. Merkel, “Digital wave-front measuring interferometry: some systematic error sources,” Appl. Opt. 22, 3421–3432 (1983). [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