OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 2, Iss. 5 — May. 1, 1985
  • pp: 657–666

Statistical analysis of one-beam subjective laser-speckle interferometry

D. W. Li, J. B. Chen, and F. P. Chiang  »View Author Affiliations


JOSA A, Vol. 2, Issue 5, pp. 657-666 (1985)
http://dx.doi.org/10.1364/JOSAA.2.000657


View Full Text Article

Enhanced HTML    Acrobat PDF (1184 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The use of laser speckle for displacement and deformation measurement has found wide applications in mechanics and metrology. Traditionally, a deterministic approach has been adopted to analyze the process. In this paper a statistical approach is utilized, resulting in a better understanding of the limitations and potentials of one-beam subjective laser-speckle interferometry (or speckle photography). We find that the amplitude modulation of the information-carrying cosine fringes is controlled by three factors: a decorrelation factor γ, a displacement factor Ω, and a displacement-gradient factor ψ. We introduce the concept of an ambiguity factor that sets a critical value for the product γΩψ. We then propose a criterion for fringe discernibility from which the upper limit of measurement is established.

© 1985 Optical Society of America

History
Original Manuscript: August 27, 1984
Manuscript Accepted: December 19, 1984
Published: May 1, 1985

Citation
D. W. Li, J. B. Chen, and F. P. Chiang, "Statistical analysis of one-beam subjective laser-speckle interferometry," J. Opt. Soc. Am. A 2, 657-666 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-5-657


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. J. M. Burch, J. M. J. Tokarski, “Production of multiple beam fringes from photographic scatters,” Opt. Acta 15, 101–111 (1968).
  2. E. Archbold, A. E. Ennos, “Displacement measurement from double-exposure laser photographs,” Opt. Acta 19, 253–271 (1972). [CrossRef]
  3. R. P. Khetan, F. P. Chiang, “Strain analysis by one-beam laser speckle interferometry, 1: single aperture method,” Appl. Opt. 15, 2205–2215 (1976). [CrossRef] [PubMed]
  4. F. P. Chiang, “A new family of 2D and 3D experimental stress analysis techniques using laser speckles,” Solid Mech. Archives 3, 27–58 (1978).
  5. F. P. Chiang, J. Adachi, R. Anastasi, J. Beatty, “Subjective laser speckle method and its application to solid mechanics problems,” Opt. Eng. 21, 379–390 (1982). [CrossRef]
  6. R. K. Erf, ed., Speckle Metrology (Academic, New York, 1978).
  7. L. I. Goldfischer, “Autocorrelation function and power spectrum density of laser produced speckle patterns,”J. Opt. Soc. Am. 55, 247–253 (1965). [CrossRef]
  8. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, New York, 1975), Chap. 2. [CrossRef]
  9. J. C. Dainty, “Some statistical properties of random speckle patterns in coherent and partially coherent illumination,” Opt. Acta 17, 761–772 (1970). [CrossRef]
  10. I. Yamaguchi, “Speckle displacement and decorrelation in the diffraction and image fields for small object deformation,” Opt. Acta 28, 1359–1376 (1981). [CrossRef]
  11. I. Yamaguchi, “Fringe formation in speckle photography,” J. Opt. Soc. Am. A 1, 81–86 (1984). [CrossRef]
  12. J. B. Chen, F. P. Chiang, “Statistical analysis of whole-field filtering of specklegram and its upper limit of measurement,” J. Opt. Soc. Am. A 1, 845–849 (1984). [CrossRef]
  13. T. Asakara, “Surface roughness measurements,” in Speckle Metrology, R. K. Erf, ed. (Academic, New York, 1978), Chap. 3. [CrossRef]
  14. D. W. Li, J. B. Chen, F. P. Chiang, “Statistical analysis of one-beam subjective laser speckle interferometry,” (State University of New York, Stony Brook, N.Y., April1983).
  15. M. Pedretti, F. P. Chiang, “Effect of magnification change in laser speckle interferometry,”J. Opt. Soc. Am. 68, 1742–1748 (1978). [CrossRef]
  16. F. P. Chiang, D. W. Li, “Study on point-wise filtering for one-beam laser speckle interferometry,” (State University of New York, Stony Brook, N.Y., August1984).
  17. G. H. Kaufmann, “On the numerical processing of speckle photograph fringes,” Opt. Laser Technol. 12, 207–209 (1980). [CrossRef]
  18. G. H. Kaufman, A. E. Ennos, B. Gale, D. J. Pugh, “An electric-optical read-out system for analysis of speckle photographs,”J. Phys. E 13, 579–584 (1980). [CrossRef]
  19. B. Ineichen, P. Eglin, R. Dändliker, “Hybrid optical and electronic image processing for strain measurements by speckle photography,” Appl. Opt. 19, 2191–2195 (1980). [CrossRef] [PubMed]
  20. V. J. Parks, “The range of speckle metrology,” Exp. Mech. 20(6), 181–191 (1980). [CrossRef]

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