OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 37, Iss. 13 — May. 1, 1998
  • pp: 2573–2578

Model-Based Inversion of Speckle Interferometer Fringe Patterns

Douglas R. Schmitt and R. W. Hunt  »View Author Affiliations

Applied Optics, Vol. 37, Issue 13, pp. 2573-2578 (1998)

View Full Text Article

Acrobat PDF (2496 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Micrometer-scale rigid-body translations are determined fromelectronic speckle interferometric fringe patterns. An iterativeminimum error procedure employs the relative fringe order of pickedpositions of fringe maxima and minima within a single interferogram tocalculate the displacement field directly. The method does notcalculate the displacement at a single point but relies on theassumption that the character, but not the magnitudes or directions, ofthe displacements over the viewing area of the interferogram isknown. That is, a model of the displacements exists. Onperfect, noise-free forward modeled fringe patterns calculated for an 8.0-μm displacement, the phase error is less than 2 ×10−6 fringe orders (1.3 × 10−5 rad)and probably results only from numerical noise in the inversion. Onreal fringe patterns obtained in electronic speckle interferometricexperiments, mean phase errors are generally less than 5 ×10−5 fringe orders (3.2 × 10−4rad), suggesting that the technique is robust despite errorsresulting from speckle noise, lack of accuracy in positioning ofexperimental components, and image-distortion corrections.

© 1998 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(100.0100) Image processing : Image processing
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

Douglas R. Schmitt and R. W. Hunt, "Model-Based Inversion of Speckle Interferometer Fringe Patterns," Appl. Opt. 37, 2573-2578 (1998)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).
  2. R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, UK, 1983).
  3. J. E. Sollid, “Holographic interferometry applied to measurements of small static displacements of diffusely reflecting surfaces,” Appl. Opt. 8, 1587–1595 (1969).
  4. A. E. Ennos, “Measurement of in-plane surface strain by hologram interferometry,” J. Phys. E Sci. Instrum. 1(Series 2), 731–734 (1968).
  5. A. Makino and D. Nelson, “Residual- stress determination by single axis holographic interferometry and hole drilling,” Exp. Mech. 34(1), 66–71 (1994).
  6. S. Johansson and K. G. Predko, “Performance of a phase-shifting speckle interferometer for measuring deformation and vibration,” J. Phys. E 22, 289–292 (1989).
  7. C. Joenthan and B. M. Khorana, “Phase-measuring fiber optic electronic speckle pattern interferometer: phase step calibration and phase drift minimization,” Opt. Eng. 31, 315–321 (1992).
  8. J. Kato, I. Yamaguchi, and Q. Ping, “Automatic deformation analysis by a TV speckle interferometer using a laser diode,” Appl. Opt. 32, 77–83 (1993).
  9. J. C. Dainty, Laser Speckle and Related Phenomena, 2nd ed. (Springer-Verlag, Berlin, 1989).
  10. Z. Jia, “A study of the fracture process in cement-based materials using laser holographic and speckle interferometry,” Ph. D. dissertation (Northwestern University, Evanston, Ill., 1994).
  11. D. R. Schmitt and R. W. Hunt, “Optimization of fringe pattern calculation with direct correlations in speckle interferometry,” Appl. Opt. 36, 8848–8857 (1997).
  12. K. Biedermann and L. Ek, “A recording and display system for hologram interferometry with low resolution imaging devices,” J. Phys. E Sci. Instrum. 8, 571–576 (1975).

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