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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 23 — Aug. 10, 1998
  • pp: 5386–5393

Phasor-Difference Method for Measuring the Amplitude and the Phase of Small-Amplitude Vibrations with TV Holography

Rolf Rustad  »View Author Affiliations


Applied Optics, Vol. 37, Issue 23, pp. 5386-5393 (1998)
http://dx.doi.org/10.1364/AO.37.005386


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Abstract

A new, to the author’s knowledge, method for time-averaged TV holography measurements of small-amplitude vibrations is presented. In time-averaged TV holography with sinusoidal phase modulation of the reference arm of the interferometer, two phasors describe the object vibration and the modulation of the reference arm. By inversion of the squared zero-order Bessel function of the first kind, it is possible to measure the distance between these two phasors. The distances from an object-vibration phasor to a number of known reference phasors are measured to determine the amplitude and the phase of the object vibration. The method is demonstrated by the measurement of a vibration mode of a circular metal disk. The results are compared with theoretical data and with data obtained by a commonly used method in phase-modulated TV holography.

© 1998 Optical Society of America

OCIS Codes
(120.2880) Instrumentation, measurement, and metrology : Holographic interferometry
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(120.7280) Instrumentation, measurement, and metrology : Vibration analysis

Citation
Rolf Rustad, "Phasor-Difference Method for Measuring the Amplitude and the Phase of Small-Amplitude Vibrations with TV Holography," Appl. Opt. 37, 5386-5393 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-23-5386


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References

  1. O. J. Løkberg, “ESPI—the ultimate holographic tool for vibration analysis?” J. Acoust. Soc. Am. 75, 1783–1791 (1984).
  2. O. J. Løkberg, M. Espeland, and H. M. Pedersen, “Tomographic reconstruction of sound fields using TV holography,” Appl. Opt. 34, 1640–1645 (1995).
  3. S. Ellingsrud and O. J. Løkberg, “Analysis of high frequency vibrations using TV-holography and digital image processing,” in Laser Interferometry: Quantitative Analysis of Interferograms, R. J. Pryputniewicz, ed., Proc. SPIE 1162, 402–410 (1989).
  4. S. Ellingsrud and G. O. Rosvold, “Analysis of a data-based TV-holography system used to measure small vibration amplitudes,” J. Opt. Soc. Am. 9, 237–251 (1992).
  5. R. J. Pryputniewicz, “Time average holography in vibration analysis,” Opt. Eng. 24, 843–848 (1985).
  6. K. A. Stetson and W. R. Brohinsky, “Fringe-shifting technique for numerical analysis of time-average holograms of vibrating objects,” J. Opt. Soc. Am. A 5, 1472–1476 (1988).
  7. K. Høgmoen and H. M. Pedersen, “Measurement of small vibrations using electronic speckle pattern interferometry: theory,” J. Opt. Soc. Am. 67, 1578–1583 (1977).
  8. C. C. Aleksoff, “Time averaged holography extended,” Appl. Phys. Lett. 14, 23 (1969).
  9. R. L. Powell and K. A. Stetson, “Interferometric vibration analysis by wavefront reconstruction,” J. Opt. Soc. Am. 55, 1593–1598 (1965).
  10. K. Høgmoen and O. J. Løkberg, “Detection and measurement of small vibrations using electronic speckle pattern interferometry,” Appl. Opt. 16, 1869–1875 (1977).
  11. D. B. Neumann, C. F. Jacobson, and G. M. Brown, “Holographic technique for determining the phase of vibrating objects,” Appl. Opt. 9, 1357–1362 (1970).
  12. L. Gold, “Inverse Bessel functions: solutions for the zeros,” J. Math. Phys. 36, 167–171 (1957).
  13. R. Courant and D. Hilbert, Metoden der mathematischen Physic I (Springer-Verlag, Berlin, 1968), Chap. 5.

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