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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 67, Iss. 11 — Nov. 1, 1977
  • pp: 1578–1583

Measurement of small vibrations using electronic speckle pattern interferometry: Theory

Kåre Høgmoen and Hans M. Pedersen  »View Author Affiliations


JOSA, Vol. 67, Issue 11, pp. 1578-1583 (1977)
http://dx.doi.org/10.1364/JOSA.67.001578


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Abstract

A theoretical analysis of a recently published method for measurement of small vibrations using electronic speckle pattern interferometry is given. From the general description of the signal processing in electronic speckle pattern interferometry, we derive a theory that applies to ideal operation of the system. For two special cases, including the small-amplitude limit, the theory is extended to include nonideal effects. The calculated response functions show good agreement with experimental results also beyond the linear small-amplitude range.

© 1977 Optical Society of America

Citation
Kåre Høgmoen and Hans M. Pedersen , "Measurement of small vibrations using electronic speckle pattern interferometry: Theory," J. Opt. Soc. Am. 67, 1578-1583 (1977)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-67-11-1578


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References

  1. K. Høgmoen and O. J. Løkberg, "Detection and measurement of small vibrations using electronic speckle pattern interferometry," Appl. Opt. 16, 1869–1875 (1977).
  2. J. W. Goodman, "Statistical properties of laser speckle patterns," in Topics in Applied Physics, Vol. 9: Laser Speckle and Related Phenomena, edited by J. C. Dainty (Springer-Verlag, Berlin, 1975), pp. 9–75.
  3. S. M. Khanna, J. Tonndorf, and W. W. Walcott, "Laser Interferometer for the Measurement of Submicroscopic Displacement Amplitudes and Their Phases in Small Biological Structures," J. Acoust. Soc. Am. 44, 1555–1565 (1968).
  4. H. A. Deferrari, R. A. Darby, and F. A. Andrews, "Vibrational Displacement and Mode-Shape Measurement by a Laser Interferometer," J. Acoust. Soc. Am. 42, 982–990 (1967).
  5. P. R. Dragsten, W. W. Webb, J. A. Paton, and R. R. Capranica, "Light-scattering heterodyne interferometer for vibration measurements in auditory organs," J. Acoust. Soc. Am. 60, 665–671 (1976).
  6. C. J. Tranter, Bessel functions with some physical applications (English Universities Press, London, 1968), p. 36.

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