Abstract

A new, simple low-cost method is presented for real-time measurement of arbitrary vibrations using the shadow moire technique. It is shown, by comparing with holographic measurements, that amplitudes as small as 100 nm can be accurately measured. The new method provides easy calibration for many other vibration measurement techniques.

© 1986 Optical Society of America

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References

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  1. O. Kafri, Y. B. Band, T. Chin, D. F. Heller, J. C. Walling, “Real-Time Moire Vibration Analysis of Diffusive Objects,” Appl. Opt. 24, 240 (1985).
    [CrossRef] [PubMed]
  2. T. M. Meadows, W. O. Johnson, J. B. Allen, “Generation of Surface Contours by Moire Patterns,” Appl. Opt. 9, 942 (1970).
    [CrossRef] [PubMed]
  3. J. L. Janssens, W. F. Decraemer, V. J. Vanhuyse, “Visibility of Shadow-Moire Fringes in Function of Extend of Light Source and Aperture of Recording System,” Optik 71, 45 (1985).

1985

J. L. Janssens, W. F. Decraemer, V. J. Vanhuyse, “Visibility of Shadow-Moire Fringes in Function of Extend of Light Source and Aperture of Recording System,” Optik 71, 45 (1985).

O. Kafri, Y. B. Band, T. Chin, D. F. Heller, J. C. Walling, “Real-Time Moire Vibration Analysis of Diffusive Objects,” Appl. Opt. 24, 240 (1985).
[CrossRef] [PubMed]

1970

Allen, J. B.

Band, Y. B.

Chin, T.

Decraemer, W. F.

J. L. Janssens, W. F. Decraemer, V. J. Vanhuyse, “Visibility of Shadow-Moire Fringes in Function of Extend of Light Source and Aperture of Recording System,” Optik 71, 45 (1985).

Heller, D. F.

Janssens, J. L.

J. L. Janssens, W. F. Decraemer, V. J. Vanhuyse, “Visibility of Shadow-Moire Fringes in Function of Extend of Light Source and Aperture of Recording System,” Optik 71, 45 (1985).

Johnson, W. O.

Kafri, O.

Meadows, T. M.

Vanhuyse, V. J.

J. L. Janssens, W. F. Decraemer, V. J. Vanhuyse, “Visibility of Shadow-Moire Fringes in Function of Extend of Light Source and Aperture of Recording System,” Optik 71, 45 (1985).

Walling, J. C.

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Figures (7)

Fig. 1
Fig. 1

Experimental setup: 1, translation stage; 2, speaker; 3, rod with grating attached; 4, illumination beam; 5, lens; 6, silicon detector; 7, op-amp; 8, oscilloscope; 9, voltmeter.

Fig. 2
Fig. 2

Two points behind the grating in a space filled with dark and bright fringe planes: 1, grating; 2, dark fringe planes; 3, bright fringe planes.

Fig. 3
Fig. 3

Applied driving current (upper trace, 0.4 V/div) and detector output voltage (lower trace, 0.2 V/div).

Fig. 4
Fig. 4

Applied driving current (upper trace, 0.2 V/div) and detector output voltage (lower trace, 0.1 V/div).

Fig. 5
Fig. 5

Calibration curve.

Fig. 6
Fig. 6

Experimental results of membrane amplitude vs applied sound pressure level.

Fig. 7
Fig. 7

Membrane amplitude vs applied sound pressure level using the moire technique with lock-in amplifier (●) and using ESPI (+).

Equations (1)

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f ( z ) = C [ 1 + 2 π 2 n = 1 n odd 1 n 2 cos 2 π p ( n d z h + z ) ] ,

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