OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 25, Iss. 22 — Nov. 15, 1986
  • pp: 4155–4161

Vibration measurement using phase-shifting time-average holographic interferometry

Suezou Nakadate  »View Author Affiliations

Applied Optics, Vol. 25, Issue 22, pp. 4155-4161 (1986)

View Full Text Article

Enhanced HTML    Acrobat PDF (1479 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Computer image processing techniques for the measurement of vibration amplitude are presented, which utilize phase-shifted time-average holographic interferograms. The calculation of the square root and division with phase-shifted interferograms gives a high contrast fringe pattern which contours the vibration amplitude. The arctangent calculation with phase-shifted fringe patterns also gives the phase distribution proportional to the optical path difference of the measured object before and after vibration. The detection of the phase discontinuity of ±π in the phase image gives exactly the center line of the dark fringe. The distribution of the vibration amplitude can be obtained by the fringe-order determination and its interpolation. The bias deformation of the vibration is obtained by the correction of phase discontinuities of ±2π and ±π in the phase images before and after vibration.

© 1986 Optical Society of America

Original Manuscript: March 12, 1986
Published: November 15, 1986

Suezou Nakadate, "Vibration measurement using phase-shifting time-average holographic interferometry," Appl. Opt. 25, 4155-4161 (1986)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. K. A. Stetson, “Holographic Vibration Analysis,” in Holographic Nondestructive Testing, R. K. Erf, Ed. (Academic, New York, 1974), pp. 181–220. [CrossRef]
  2. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).
  3. K. A. Stetson, R. L. Powell, “Interferometric Hologram Evaluation and Real-Time Vibration Analysis of Diffuse Objects,” J. Opt. Soc. Am. 55, 1694 (1965). [CrossRef]
  4. K. Biedermann, N.-E. Molin, “Combining Hypersensitization and Rapid in situ Processing for Time-Average Observation in Real-Time Hologram Interferometry,” J. Phys. E 3, 669 (1970). [CrossRef]
  5. R. Dandliker, “Heterodyne Holographic Interferometry,” Prog. Opt. 17, 3 (1980).
  6. J. H. Bruning, “Fringe Scanning Interferometers,” in Optical Shop Testing, D. Malacara, Ed. (Wiley, New York, 1978), pp. 409–437.
  7. G. E. Sommargren, “Double-Exposure Holographic Interferometry Using Commonpath Reference Waves,” Appl. Opt. 16, 1736 (1977). [CrossRef] [PubMed]
  8. P. Hariharan, B. F. Oreb, N. Brown, “Real-Time Holographic Interferometry: A Microcomputer System for the Measurement of Vector Displacements,” Appl. Opt. 22, 876 (1983). [CrossRef] [PubMed]
  9. S. Nakadate, H. Saito, “Fringe Scanning Speckle-Pattern Interferometry,” Appl. Opt. 24, 2172 (1985). [CrossRef] [PubMed]
  10. M. Takeda, H. Ina, S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156 (1982). [CrossRef]
  11. S. Toyooka, M. Tominaga, “Spatial Fringe Scanning for Optical Phase Measurement,” Opt. Commun. 51, 68 (1984). [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