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. 20, Iss. 2 — Feb. 1, 2003
  • pp: 240–247

Least-squares phase estimation with multiple parameters in phase-shifting electronic speckle pattern interferometry

Hae Young Yun, Chung Ki Hong, and Seok Won Chang  »View Author Affiliations


JOSA A, Vol. 20, Issue 2, pp. 240-247 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000240


View Full Text Article

Acrobat PDF (1261 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We have developed an accurate and robust phase-estimation method in phase-shifting electronic speckle pattern interferometry. Unlike other methods that assume a constant phase within a fitting window, our method treats the phase variation with a gradient. A cost function that can utilize the information of pixel positions is formulated on the basis of a least-squares criterion. Powell’s iteration method is applied to it to derive the phase and its gradient. An automatic consistency-checking routine and an algorithm that improves the initial guess of the iteration are developed for severe situations with large noise and steep phase variations.

© 2003 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis

Citation
Hae Young Yun, Chung Ki Hong, and Seok Won Chang, "Least-squares phase estimation with multiple parameters in phase-shifting electronic speckle pattern interferometry," J. Opt. Soc. Am. A 20, 240-247 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-2-240


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. J. M. Huntley, “Random phase measurement errors in digital speckle pattern interferometry,” Opt. Lasers Eng. 26, 131–150 (1997).
  2. C. K. Hong, H. S. Ryu, and H. C. Lim, “Least-squares fitting of the phase map obtained in phase-shifting electronic speckle pattern interferometry,” Opt. Lett. 20, 931–933 (1995).
  3. H. A. Aebischer and S. Waldner, “A simple and effective method for filtering speckle-interferometric phase fringe patterns,” Opt. Commun. 162, 205–210 (1999).
  4. H. S. Ryu and C. K. Hong, “Maximum-likelihood phase estimation in phase-shifting electronic speckle pattern interferometry,” J. Opt. Soc. Am. A 14, 1051–1057 (1997).
  5. J. L. Marroquin, M. Servin, and R. Rodriguez Vera, “Adaptive quadrature filters for multiple phase-stepping images,” Opt. Lett. 23, 238–240 (1998).
  6. P. Picart, J. C. Pascal, and J. M. Breteau, “Systematic errors of phase-shifting speckle interferometry,” Appl. Opt. 40, 2107–2116 (2001).
  7. H. van Brug and P. A. A. M. Somers, “Temporal phase unwrapping with two or four images per time frame: a comparison,” in Interferometry ’99: Techniques and Technologies, M. Kujawinska and M. Takeda, eds., Proc. SPIE 3744, 358–365 (1999).
  8. M. Servin, F. J. Cuevas, D. Malacara, J. L. Marroquin, and R. Rodriguez-Vera, “Phase unwrapping through demodulation by use of the regularized phase-tracking technique,” Appl. Opt. 38, 1934–1941 (1999).
  9. J. M. Huntley and H. Saldner, “Temporal phase unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993).
  10. M. Owner-Peterson and P. Damgaard Jenson, “Computer-aided speckle pattern interferometry deformation analysis by fringe manipulation,” NonDestr. Test. Inst. 21, 422–426 (1988).
  11. M. Lehmann, “Decorrelation-induced phase errors in phase-shifting speckle interferometry,” Appl. Opt. 36, 3657–3667 (1997).
  12. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge U. Press, Cambridge, UK 1988), pp. 408–420.
  13. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, 2nd ed., J. C. Dainty, ed. (Springer-Verlag, Berlin, 1984), pp. 51–54.

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