Abstract

A method for determining the position of the zero-order fringe in a metrological experiment with digital speckle pattern interferometry is proposed. It is based on an averaging procedure with shifted images obtained before and after a load is applied. This technique is a complement to the phase-shifting methods. Experimental examples are shown.

© 1997 Optical Society of America

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References

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  1. R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, UK, 1983), Chap. 4, pp. 183–188.
  2. K. Creath, G. Slettemoen, “Vibration–observation techniques for digital speckle pattern interferometry,” J. Opt. Soc. Am. A 2, 1629–1636 (1986).
    [CrossRef]
  3. D. W. Robison, “Automatic fringe analysis with a computer image processing system,” Appl. Opt. 22, 2169–2176 (1983).
    [CrossRef]
  4. D. Robison, D. Williams, “Digital phase stepping speckle interferometry,” Opt. Commun. 57, 26–30 (1986).
    [CrossRef]
  5. B. P. Hildebrand, K. A. Haines, “Multiple-wavelength and multiple-source holography,” J. Opt. Soc. Am. 57, 155–162 (1967).
    [CrossRef]
  6. J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
    [CrossRef]
  7. R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
    [CrossRef]
  8. R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
    [CrossRef]
  9. W. Osten, W. Juptner, “Measurement of displacement vector fields based on high-precision phase measurements,” in Interferometry: Techniques and Analysis, G. M. Brown, M. Kujawinska, O. Y. Kwon, G. T. Reid, eds., Proc. SPIE1755, 162–173 (1992).

1996 (1)

R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
[CrossRef]

1994 (1)

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

1993 (1)

J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
[CrossRef]

1986 (2)

1983 (1)

1967 (1)

Alanis, E.

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

Arizaga, R.

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
[CrossRef]

Creath, K.

Haines, K. A.

Henao, R.

R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
[CrossRef]

Hildebrand, B. P.

Jones, R.

R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, UK, 1983), Chap. 4, pp. 183–188.

Juptner, W.

W. Osten, W. Juptner, “Measurement of displacement vector fields based on high-precision phase measurements,” in Interferometry: Techniques and Analysis, G. M. Brown, M. Kujawinska, O. Y. Kwon, G. T. Reid, eds., Proc. SPIE1755, 162–173 (1992).

Osten, W.

W. Osten, W. Juptner, “Measurement of displacement vector fields based on high-precision phase measurements,” in Interferometry: Techniques and Analysis, G. M. Brown, M. Kujawinska, O. Y. Kwon, G. T. Reid, eds., Proc. SPIE1755, 162–173 (1992).

Pomarico, J.

J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
[CrossRef]

Rabal, H.

R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
[CrossRef]

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
[CrossRef]

Robison, D.

D. Robison, D. Williams, “Digital phase stepping speckle interferometry,” Opt. Commun. 57, 26–30 (1986).
[CrossRef]

Robison, D. W.

Romero, G.

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

Slettemoen, G.

Tagliaferri, A.

R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
[CrossRef]

Torroba, R.

R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
[CrossRef]

J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
[CrossRef]

Trivi, M.

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

Williams, D.

D. Robison, D. Williams, “Digital phase stepping speckle interferometry,” Opt. Commun. 57, 26–30 (1986).
[CrossRef]

Wykes, C.

R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, UK, 1983), Chap. 4, pp. 183–188.

Appl. Opt. (1)

J. Opt. Soc. Am. (1)

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

Opt. Commun. (3)

D. Robison, D. Williams, “Digital phase stepping speckle interferometry,” Opt. Commun. 57, 26–30 (1986).
[CrossRef]

J. Pomarico, R. Arizaga, H. Rabal, R. Torroba, “Digital holographic contouring,” Opt. Commun. 98, 257–260 (1993).
[CrossRef]

R. Arizaga, H. Rabal, M. Trivi, E. Alanis, G. Romero, “Single fringe contouring,” Opt. Commun. 108, 209–213 (1994).
[CrossRef]

Opt. Eng. (1)

R. Henao, H. Rabal, R. Torroba, A. Tagliaferri, “Display of the temporal evolution of the speckle patterns,” Opt. Eng. 35, 63–69 (1996).
[CrossRef]

Other (2)

W. Osten, W. Juptner, “Measurement of displacement vector fields based on high-precision phase measurements,” in Interferometry: Techniques and Analysis, G. M. Brown, M. Kujawinska, O. Y. Kwon, G. T. Reid, eds., Proc. SPIE1755, 162–173 (1992).

R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, UK, 1983), Chap. 4, pp. 183–188.

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Figures (3)

Fig. 1
Fig. 1

Experimental configuration used in the technique.

Fig. 2
Fig. 2

(a) Clamped metal plate loaded on its center compared with a fixed metal strip. The rectangle indicates the observation area. (b) DSPI display. Result after (c) the averaging procedure and (d) the phase mapping. The metal strip remains black, and the fringes are removed.

Fig. 3
Fig. 3

Composition showing (a) the fringe resulting from the rotation of a plate, (b) the zero-order fringe (rotational axis) arising from the digital averaging, (c) the phase-mapping obtained from (a) together with the position of the rotational axis obtained from (b).

Equations (4)

Equations on this page are rendered with MathJax. Learn more.

ΔI=4Io Ir1/2 sinφ+δ2sinδ2,
δP2πλ=NPλ=eBP+eQP·dP=SP·dP,
NiPλ=eBP+eQiP·dP=SiP·dP i=1,2, ,n n>2.
z=kzk-zk,

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