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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 2 — Jan. 10, 2011
  • pp: 134–146

Quantitative shearography: error reduction by using more than three measurement channels

Tom O. H. Charrett, Daniel Francis, and Ralph P. Tatam  »View Author Affiliations

Applied Optics, Vol. 50, Issue 2, pp. 134-146 (2011)

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Shearography is a noncontact optical technique used to measure surface displacement derivatives. Full surface strain characterization can be achieved using shearography configurations employing at least three measurement channels. Each measurement channel is sensitive to a single displacement gradient component defined by its sensitivity vector. A matrix transformation is then required to convert the measured components to the orthogonal displacement gradients required for quantitative strain measurement. This transformation, conventionally performed using three measurement channels, amplifies any errors present in the measurement. This paper investigates the use of additional measurement channels using the results of a computer model and an experimental shearography system. Results are presented showing that the addition of a fourth channel can reduce the errors in the computed orthogonal components by up to 33% and that, by using 10 channels, reductions of around 45% should be possible.

© 2011 Optical Society of America

OCIS Codes
(110.6150) Imaging systems : Speckle imaging
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(100.3175) Image processing : Interferometric imaging
(110.3175) Imaging systems : Interferometric imaging
(120.6165) Instrumentation, measurement, and metrology : Speckle interferometry, metrology

ToC Category:
Image Processing

Original Manuscript: October 13, 2010
Revised Manuscript: November 11, 2010
Manuscript Accepted: November 14, 2010
Published: January 5, 2011

Tom O. H. Charrett, Daniel Francis, and Ralph P. Tatam, "Quantitative shearography: error reduction by using more than three measurement channels," Appl. Opt. 50, 134-146 (2011)

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  1. J. Leendertz and J. Butters, “An image-shearing speckle-pattern interferometer for measuring bending moments,” J. Phys. E 6, 1107–1110 (1973). [CrossRef]
  2. Y. T. Hung, “Shearography: a new optical method for strain measurement and nondestructive testing,” Opt. Eng. 21, 391–395 (1982).
  3. D. Francis, R. P. Tatam, and R. M. Groves, “Shearography technology and applications: a review,” Meas. Sci. Technol. 21, 102001 (2010). [CrossRef]
  4. M. Kalms and W. Osten, “Mobile shearography system for the inspection of aircraft and automotive components,” Opt. Eng. 42, 1188–1196 (2003). [CrossRef]
  5. K. Creath, “Phase-shifting speckle interferometry,” Appl. Opt. 24, 3053–3058 (1985). [CrossRef] [PubMed]
  6. M. A. Herráez, M. A. Gdeisat, D. R. Burton, and M. J. Lalor, “Robust, fast, and effective two-dimensional automatic phase unwrapping algorithm based on image decomposition,” Appl. Opt. 41, 7445–7455 (2002). [CrossRef] [PubMed]
  7. S. Waldner and S. Brem, “Compact shearography system for the measurement of 3D deformation,” Proc. SPIE 3745, 141–148 (1999). [CrossRef]
  8. R. Kästle, E. Hack, and U. Sennhauser, “Multiwavelength shearography for quantitative measurements of two-dimensional strain distributions,” Appl. Opt. 38, 96–100(1999). [CrossRef]
  9. R. M. Groves, S. W. James, and R. P. Tatam, “Multi-component shearography employing four measurement channels,” Proc. SPIE , 4933135–140 (2003). [CrossRef]
  10. D. Francis, S. W. James, and R. P. Tatam, “Surface strain measurement using multi-component shearography with coherent fibre-optic imaging bundles,” Meas. Sci. Technol. 18, 3583–3591 (2007). [CrossRef]
  11. D. Francis, S. W. James, and R. P. Tatam, “Surface strain measurement of rotating objects using pulsed laser shearography with coherent fibre-optic imaging bundles,” Meas. Sci. Technol. 19, 105301 (2008). [CrossRef]
  12. D. S. Nobes, H. D. Ford, and R. Tatam, “Instantaneous, three-component planar Doppler velocimetry using imaging fibre bundles,” Exp. Fluids 36, 3–10 (2004). [CrossRef]
  13. T. O. Charrett, D. S. Nobes, and R. Tatam, “Investigation into the selection of viewing configurations for three-component planar Doppler velocimetry measurements,” Appl. Opt. 46, 4102–4116 (2007). [CrossRef] [PubMed]
  14. K. Arbenz and A. Wohlhauser, Advanced Mathematics For Practicing Engineers (Artech House, 1986).
  15. P. Hariharan, B. Oreb, and T. Eiju, “Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506(1987). [CrossRef] [PubMed]
  16. H. Aebischer and S. Waldner, “A simple and effective method for filtering speckle-interferometric phase fringe patterns,” Opt. Commun. 162, 205–210 (1999). [CrossRef]
  17. A. Dolinko and G. H. Kaufmann, “A least-squares method to cancel rigid body displacements in a hole drilling and DSPI system for measuring residual stresses,” Opt. Lasers Eng. 44, 1336–1347 (2006). [CrossRef]

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