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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 18, Iss. 6 — Jun. 1, 2001
  • pp: 1267–1274

Statistical interferometry based on a fully developed speckle field: an experimental demonstration with noise analysis

Hirofumi Kadono, Yoshinori Bitoh, and Satoru Toyooka  »View Author Affiliations


JOSA A, Vol. 18, Issue 6, pp. 1267-1274 (2001)
http://dx.doi.org/10.1364/JOSAA.18.001267


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Abstract

A novel interferometric method named statistical interferometry is proposed and studied. In the method, in contrast to the conventional deterministic interferometry, the complete randomness of the two interfering light fields, i.e., the random interference of the fully developed speckle fields, plays an essential role and is used as a standard of phase in a statistical sense. Preliminary experiments were conducted to verify the validity of the method, followed by a computer simulation. As an experimental result, the accuracy of the measurements of an out-of-plane displacement was confirmed up to λ/800 by comparison with the heterodyne interferometer. The method has the advantage of simplicity of the optical system required, while at the same time providing high accuracy.

© 2001 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(030.6600) Coherence and statistical optics : Statistical optics
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

History
Original Manuscript: July 20, 2000
Revised Manuscript: December 11, 2000
Manuscript Accepted: December 18, 2000
Published: June 1, 2001

Citation
Hirofumi Kadono, Yoshinori Bitoh, and Satoru Toyooka, "Statistical interferometry based on a fully developed speckle field: an experimental demonstration with noise analysis," J. Opt. Soc. Am. A 18, 1267-1274 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-6-1267


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References

  1. P. Hariharan, Optical Interferometry (Academic, Sydney, 1985).
  2. H. Kadono, S. Toyooka, “Statistical interferometry based on the statistics of speckle phase,” Opt. Lett. 16, 883–885 (1991). [CrossRef] [PubMed]
  3. H. Kadono, S. Toyooka, Y. Iwasaki, “Speckle-shearing interferometry using a liquid-crystal cell as a phase modulator,” J. Opt. Soc. Am. A 8, 2001–2008 (1991). [CrossRef]
  4. H. Kadono, S. Toyooka, “Statistical interferometry based on the statistics of speckle phase,” in Second International Conference on Photomechanics and Speckle Metrology: Speckle Techniques, Birefringence Methods, and Applications to Solid Mechanics, F. Chiang, ed., Proc. SPIE1554A, 718–726 (1991).
  5. J. W. Goodman, “Statistical properties of laser speckle patterns,” in Laser Speckle and Related Phenomena, J. C. Dainty, ed. (Springer-Verlag, Berlin, 1975), Chap. 2.
  6. R. S. Shirohi, Speckle Metrology, R. S. Shirohi, ed. (Marcel Dekker, New York, 1993).
  7. R. S. Shirohi, J. Burke, H. Helmers, K. D. Hinsch, “Spatial phase-shifting for pure in-plane displacement and displacement derivatives measurement in electronic speckle pattern interferometry (ESPI),” Appl. Opt. 36, 5787–5791 (1997). [CrossRef]
  8. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shear interferometry,” Opt. Eng. 37, 1790–1795 (1998). [CrossRef]
  9. J. W. Goodman, “Random variables,” in Statistical Optics (Wiley, New York, 1985), Chap. 2.
  10. H. Kadono, T. Asakua, “Statistical properties of the speckle phase in the optical imaging system,” J. Opt. Soc. Am. A 2, 1787–1792 (1985). [CrossRef]
  11. H. Kadono, N. Takai, T. Asakua, “Statistical properties of the speckle phase in the diffraction region,” J. Opt. Soc. Am. A 3, 1080–1089 (1986). [CrossRef]

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