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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 34, Iss. 13 — May. 1, 1995
  • pp: 2202–2206

Multiple-image shearography: a direct method to determine curvatures

C. J. Tay, S. L. Toh, H. M. Shang, and Q. Y. Lin  »View Author Affiliations


Applied Optics, Vol. 34, Issue 13, pp. 2202-2206 (1995)
http://dx.doi.org/10.1364/AO.34.002202


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Abstract

We present a modified method of shearography, known herein as multiple-image shearography, whereby the curvatures of an object can be measured directly from the resulting fringes. It employs an image-shearing camera that produces three sheared images simultaneously to interfere with each other in the image plane. When film is doubly exposed before and after an object is deformed, three sets of fringes are observed of which one set would depict the second-order derivatives of surface displacement. The theory of the multiple-image shearography technique and its application to curvature measurements in plate bending are presented.

© 1995 Optical Society of America

History
Original Manuscript: October 21, 1993
Revised Manuscript: June 29, 1994
Published: May 1, 1995

Citation
C. J. Tay, S. L. Toh, H. M. Shang, and Q. Y. Lin, "Multiple-image shearography: a direct method to determine curvatures," Appl. Opt. 34, 2202-2206 (1995)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-34-13-2202


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References

  1. F. P. Chiang, M. Bailangadi, “A method for direct determination of small curvatures,” J. Appl. Mech. 42(1), 29–31 (March1975). [CrossRef]
  2. J. Takezaki, Y. Y. Hung, “Direct measurement of flexural strains in plates by shearography,” J. Appl. Mech. 53, 125–129 (March1986). [CrossRef]
  3. F. P. Chiang, T. Y. Kao, “An optical method for generating slope and curvature contours of bent plates,” Int. J. Solids Struct. 15, 251–260 (1979). [CrossRef]
  4. R. Ritter, “Reflection moire methods for plate bending studies,” Opt. Eng. 21, 663–671 (1982).
  5. T. Y. Kao, F. P. Chiang, “Family of grating techniques of slope and curvature measurements for static and dynamic flexure of plates,” Opt. Eng. 21, 721–742 (1982).
  6. K. V. Sriram, M. P. Kothiyal, R. S. Sirohi, “Talbot interferometry in noncollimated illumination for curvature and focal length measurements,” Appl. Opt. 31, 75–79 (1992). [CrossRef] [PubMed]
  7. Y. J. Chao, M. A. Sutton, C. E. Taylor, “Interferometric methods for measurement of curvature and twist in thin plate,” in Proceedings of the 1982 Joint Conference on Experimental Mechanics, Oahu-Maui, Hawaii (May 1982), pp. 514–519.
  8. A. Assa, J. Politch, A. A. Bester, “Slope and curvature measurement by a double frequency-grating shearing interferometer,” Exp. Mech. 19(4), 129–137 (December1979). [CrossRef]
  9. P. M. Boone, “Determination of slope and strain contours by double-exposure shearing interferometry,” Exp. Mech. 15(8), 295–302 (August1975). [CrossRef]
  10. P. K. Rastogi, “Visualization and measurement of slope and curvature fields using holographic interferometry: an application to flaw detection,” J. Mod. Opt. 38, 1251–1263 (1991). [CrossRef]
  11. Y. Y. Hung, “Shearography: a new optical method for strain measurement and nondestructive testing,” Opt. Eng. 21, 391–395 (1982).
  12. Y. Y. Hung, A. J. Durelli, “Simultaneous measurement of three displacement derivatives using a multiple image-shearing interferometric camera,” J. Strain Anal. 14, 81–88 (1979). [CrossRef]
  13. D. K. Sharma, R. S. Sirohi, M. P. Kothiyal, “Simultaneous measurement of slope and curvature with a three-aperture speckle shearing interferometer,” Appl. Opt. 23, 1542–1546 (1984). [CrossRef] [PubMed]
  14. R. K. Mohanty, C. Joenathan, R. S. Sirohi, “Speckle and speckle-shearing interferometers combined for the simultaneous determination of out-of-plane displacement and slope,” Appl. Opt. 24, 3106–3109 (1985). [CrossRef] [PubMed]
  15. C. Joenathan, R. K. Mohanty, R. S. Sirohi, “Hololens in speckle and speckle shear interferometry,” Appl. Opt. 24, 1294–1298 (1985). [CrossRef] [PubMed]
  16. R. S. Sirohi, ed., Speckle Metrology (Dekker, New York, 1993).
  17. P. A. Klumpp, E. Schnack, “Speckle-interferometric camera for displacement measurements,” Exp. Mech. 30, 411–415 (December1990). [CrossRef]
  18. P. A. Klumpp, E. Schnack, “White light reconstruction setup for shearograms,” Appl. Opt. 28, 3270–3271 (1989). [CrossRef] [PubMed]
  19. P. A. Klumpp, “Simple spatial filtering for shearograms,” Opt. Laser Technol. 21, 105–111 (1989). [CrossRef]
  20. S. L. Toh, C. J. Tay, H. M. Shang, Q. Y. Lin, “Analysis of shearogram reconstruction,” Appl. Opt. 32, 4929–4933 (1993). [CrossRef] [PubMed]

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