Abstract

We describe a high-speed digital speckle pattern interferometer incorporating a line-scan camera and a waveguide phase modulator for the measurement of complex deformation (vibration phase and amplitude) at audio acoustic frequencies. Experimental data show continuous phase-stepped recovery of out-of-plane surface deformation in one dimension, obtained at 100 kHz with 2π/20rad 0.02µm displacement resolution, for surface velocities of 3.2 mm s-1.

© 2000 Optical Society of America

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References

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  1. A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, Appl. Opt. 38, 1159 (1999).
    [CrossRef]
  2. G. M. Brown and G. H. Smith, Proc. SPIE 1162, 36 (1989).
    [CrossRef]
  3. X. Colonna de Lega and P. Jacquot, Appl. Opt. 35, 5115 (1996).
    [CrossRef] [PubMed]
  4. J. M. Huntley, G. H. Kaufmann, and D. Kerr, Appl. Opt. 38, 6556 (1999).
    [CrossRef]
  5. R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, 1983).
  6. P. Carré, Metrologia 2, 13 (1966).
    [CrossRef]
  7. D. W. Robinson and G. T. Reid, eds., Interferogram Analysis (IOP, Bristol, UK, 1993).
  8. A. J. P. Van Haasteren and J. Frankena, Appl. Opt. 33, 4137 (1994).
    [CrossRef]
  9. J. M. Huntley and H. Saldner, Appl. Opt. 32, 3047 (1993).
    [CrossRef] [PubMed]
  10. K. Creath, Appl. Opt. 24, 3053 (1985).
    [CrossRef]
  11. Y. Hu and S. Chen, Meas. Sci. Technol. 8, 871 (1997).
    [CrossRef]
  12. C. P. Brophy, J. Opt. Soc. Am. A 7, 537 (1990).
    [CrossRef]

1999 (2)

1997 (1)

Y. Hu and S. Chen, Meas. Sci. Technol. 8, 871 (1997).
[CrossRef]

1996 (1)

1994 (1)

1993 (1)

1990 (1)

1989 (1)

G. M. Brown and G. H. Smith, Proc. SPIE 1162, 36 (1989).
[CrossRef]

1985 (1)

1966 (1)

P. Carré, Metrologia 2, 13 (1966).
[CrossRef]

Barton, J. S.

Brophy, C. P.

Brown, G. M.

G. M. Brown and G. H. Smith, Proc. SPIE 1162, 36 (1989).
[CrossRef]

Carré, P.

P. Carré, Metrologia 2, 13 (1966).
[CrossRef]

Chen, S.

Y. Hu and S. Chen, Meas. Sci. Technol. 8, 871 (1997).
[CrossRef]

Colonna de Lega, X.

Creath, K.

Frankena, J.

Hand, D. P.

Hu, Y.

Y. Hu and S. Chen, Meas. Sci. Technol. 8, 871 (1997).
[CrossRef]

Huntley, J. M.

Jacquot, P.

Jones, J. D. C.

Jones, R.

R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, 1983).

Kaufmann, G. H.

Kerr, D.

Moore, A. J.

Saldner, H.

Smith, G. H.

G. M. Brown and G. H. Smith, Proc. SPIE 1162, 36 (1989).
[CrossRef]

Van Haasteren, A. J. P.

Wykes, C.

R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, 1983).

Appl. Opt. (6)

J. Opt. Soc. Am. A (1)

Meas. Sci. Technol. (1)

Y. Hu and S. Chen, Meas. Sci. Technol. 8, 871 (1997).
[CrossRef]

Metrologia (1)

P. Carré, Metrologia 2, 13 (1966).
[CrossRef]

Proc. SPIE (1)

G. M. Brown and G. H. Smith, Proc. SPIE 1162, 36 (1989).
[CrossRef]

Other (2)

R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, 1983).

D. W. Robinson and G. T. Reid, eds., Interferogram Analysis (IOP, Bristol, UK, 1993).

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Figures (4)

Fig. 1
Fig. 1

Multichannel interferometer for out-of-plane vibration measurement. SG, signal generator.

Fig. 2
Fig. 2

(a) Time-averaged subtraction interferogram recorded by CCD2, showing modal distribution with the target vibrating at 250 Hz (inset). The line with the arrows indicates the data acquisition line of the high-speed interferometer. (b) 256 horizontal×512 vertical pixels×8bit gray-scale spatiotemporal speckle pattern (equivalent to 5 ms at 100 kHz or 1.25 vibration periods at 250 Hz). The inset shows the dynamic interframe phase step (repeating pattern every fourth line).

Fig. 3
Fig. 3

Pseudocolor reconstructed velocity (phase differences) of the target motion. The data are smoothed by a polynomial least-squares fit and plotted at full spatial resolution. Maximum surface velocity, ±3.2 mm s-1.

Fig. 4
Fig. 4

Reconstructed deformation profile of the target motion. The data are plotted at a reduced spatial resolution equivalent to 1 mm on the target surface. The floor contours show the displacement phase shift, 2π/ληzx,tn, in 10-rad intervals. Maximum displacement amplitude, ±2 µm.

Equations (4)

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Inx,tn=IOx1+γOxsincΔ/2×cosΦOx,tn-ΦRx,tn,
ΦOx,tn-ΦRx,tn=tan-13In+1-In+2-In-In+3In-In+3+In+1-In+21/2In+1+In+2-In+In+3.
zx,T=λ2πη0T-1ΦOx,tn+1-ΦOx,tn.
vNq=±λ2ηts12/N.

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