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Applied Optics

Applied Optics


  • Vol. 41, Iss. 13 — May. 1, 2002
  • pp: 2435–2439

Tilt-compensating algorithm for phase-shift interferometry

Adrian Dobroiu, Dan Apostol, Victor Nascov, and Victor Damian  »View Author Affiliations

Applied Optics, Vol. 41, Issue 13, pp. 2435-2439 (2002)

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A self-calibrating algorithm for phase-shift interferometry is described that is able to cancel the effect of accidental relative tilts that may occur during phase stepping. The algorithm is able to retrieve both the phase steps and the tilts that accompany them. Only three phase-shifted interferograms are needed, and no other information about the intentional phase shifts or possible tilts has to be supplied. This purpose is achieved by division of the interferogram space into blocks on which a previously reported self-calibrating algorithm is applied and the actual values of the local phase shifts are calculated. The information thus obtained is used for extracting the global shift and tilt values. Further improvement in the results is achieved by means of a fitting routine.

© 2002 Optical Society of America

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(100.2650) Image processing : Fringe analysis

Original Manuscript: April 26, 2001
Revised Manuscript: December 14, 2001
Published: May 1, 2002

Adrian Dobroiu, Dan Apostol, Victor Nascov, and Victor Damian, "Tilt-compensating algorithm for phase-shift interferometry," Appl. Opt. 41, 2435-2439 (2002)

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  1. D. W. Robinson, G. Reid, eds., Interferogram Analysis: Digital Fringe Pattern Measurement (Institute of Physics, Bristol, UK, 1993).
  2. K. Hibino, B. F. Oreb, D. I. Farrant, K. G. Larkin, “Phase-shifting algorithms for nonlinear and spatially nonuniform phase shifts,” J. Opt. Soc. Am. A 14, 918–930 (1997). [CrossRef]
  3. M. Chen, H. Guo, C. Wei, “Algorithm immune to tilt phase-shifting error for phase-shifting interferometers,” Appl. Opt. 39, 3894–3898 (2000). [CrossRef]
  4. A. Dobroiu, D. Apostol, V. Nascov, V. Damian, “Self-calibrating algorithm for three-sample phase-shift interferometry by contrast leveling,” Meas. Sci. Technol. 9, 744–750 (1998). [CrossRef]
  5. A. Dobroiu, D. Apostol, V. Nascov, V. Damian, “Statistical self-calibrating algorithm for phase-shift interferometry based on a smoothness assessment of the intensity map,” Meas. Sci. Technol. 9, 1451–1455 (1998). [CrossRef]

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