Abstract

The measuring of situations with optical measuring methods is difficult when a deformation field must be determined while it is superposed to comparatively large rotating or translating object motion. Interferometric methods such as pulsed TV holography might be suitable to measure the small transient deformation, but the often-large bulk motion makes the phase information disappear. However, by a combination of digital speckle photography (DSP) (also called digital image correlation) with pulsed TV holography, such measuring problems can be mastered. A method to calculate the bulk in-plane motion by DSP from the usual pulsed TV holography recordings and then to use this information to restore the interference phase is proposed. This technique may be attractive in the study of transient vibrations overlaid on rotating or translating motions.

© 2001 Optical Society of America

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References

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  1. T. Kreis, Holographic Interferometry, Principles and Methods (Akademie Verlag, Berlin, 1996).
  2. S. Schedin, P. O. Gren, A. O. Wåhlin, “Transient acoustic near field in air generated by impacted plates,” J. Acoust. Soc. Am. 99, 700–705 (1996).
    [CrossRef]
  3. S. Schedin, P. O. Gren, A. O. Wåhlin, “Shock waves in an elliptical cavity with varying height,” Shock Waves 7, 343–350 (1997).
    [CrossRef]
  4. K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
    [CrossRef]
  5. G. Pedrini, H. J. Tiziani, Y. Zou, “Digital double pulse-TV-holography,” Opt. Laser Eng. 26, 199–219 (1997).
    [CrossRef]
  6. S. Schedin, P. O. Gren, “Phase evaluation and speckle averaging in pulsed television holography,” Appl. Opt. 36, 3941–3947 (1997).
    [CrossRef] [PubMed]
  7. R. G. Hughes, “The determination of vibration patterns using a pulsed laser with holographic and electronic speckle pattern interferometry techniques,” in The Engineering Uses of Coherent Optics, E. R. Robertson, ed. (Cambridge U. Press, Cambridge, England, 1976), pp. 199–218.
  8. K. A. Stetson, “The use of an image derotator in hologram interferometry and speckle photography of rotating objects,” Exp. Mech. 18, 67–73 (1978).
    [CrossRef]
  9. M.-A. Beeck, “Pulsed holographic vibration analysis on high-speed rotating objects: fringe formation, recording techniques, and practical applications,” Opt. Eng. 31, 553–561 (1992).
    [CrossRef]
  10. M. Sjödahl, “Electronic speckle photography: increased accuracy by nonintegral pixel shifting,” Appl. Opt. 33, 6667–6673 (1994).
    [CrossRef] [PubMed]
  11. M. Sjödahl, H. O. Saldner, “Three-dimensional deformation field measurements with simultaneous TV holography and electronic speckle photography,” Appl. Opt. 36, 3645–3648 (1997).
    [CrossRef] [PubMed]
  12. A. Andersson, A. Runnemalm, M. Sjödahl, “Digital speckle pattern interferometry: fringe retrieval for large in-plane deformations with digital speckle photography,” Appl. Opt. 38, 5408–5412 (1999).
    [CrossRef]
  13. M. Takeda, H. Ina, S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
    [CrossRef]
  14. O. Marklund, “Noise-insensitive two-dimensional phase unwrapping method,” J. Opt. Soc. Am. A 15, 42–60 (1998).
    [CrossRef]

1999 (1)

1998 (1)

1997 (4)

1996 (1)

S. Schedin, P. O. Gren, A. O. Wåhlin, “Transient acoustic near field in air generated by impacted plates,” J. Acoust. Soc. Am. 99, 700–705 (1996).
[CrossRef]

1994 (1)

1992 (1)

M.-A. Beeck, “Pulsed holographic vibration analysis on high-speed rotating objects: fringe formation, recording techniques, and practical applications,” Opt. Eng. 31, 553–561 (1992).
[CrossRef]

1989 (1)

K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
[CrossRef]

1982 (1)

1978 (1)

K. A. Stetson, “The use of an image derotator in hologram interferometry and speckle photography of rotating objects,” Exp. Mech. 18, 67–73 (1978).
[CrossRef]

Andersson, A.

Beeck, M.-A.

M.-A. Beeck, “Pulsed holographic vibration analysis on high-speed rotating objects: fringe formation, recording techniques, and practical applications,” Opt. Eng. 31, 553–561 (1992).
[CrossRef]

Fällström, K.-E.

K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
[CrossRef]

Gren, P. O.

S. Schedin, P. O. Gren, A. O. Wåhlin, “Shock waves in an elliptical cavity with varying height,” Shock Waves 7, 343–350 (1997).
[CrossRef]

S. Schedin, P. O. Gren, “Phase evaluation and speckle averaging in pulsed television holography,” Appl. Opt. 36, 3941–3947 (1997).
[CrossRef] [PubMed]

S. Schedin, P. O. Gren, A. O. Wåhlin, “Transient acoustic near field in air generated by impacted plates,” J. Acoust. Soc. Am. 99, 700–705 (1996).
[CrossRef]

Gustavsson, H.

K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
[CrossRef]

Hughes, R. G.

R. G. Hughes, “The determination of vibration patterns using a pulsed laser with holographic and electronic speckle pattern interferometry techniques,” in The Engineering Uses of Coherent Optics, E. R. Robertson, ed. (Cambridge U. Press, Cambridge, England, 1976), pp. 199–218.

Ina, H.

Kobayashi, S.

Kreis, T.

T. Kreis, Holographic Interferometry, Principles and Methods (Akademie Verlag, Berlin, 1996).

Marklund, O.

Molin, N.-E.

K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
[CrossRef]

Pedrini, G.

G. Pedrini, H. J. Tiziani, Y. Zou, “Digital double pulse-TV-holography,” Opt. Laser Eng. 26, 199–219 (1997).
[CrossRef]

Runnemalm, A.

Saldner, H. O.

Schedin, S.

S. Schedin, P. O. Gren, A. O. Wåhlin, “Shock waves in an elliptical cavity with varying height,” Shock Waves 7, 343–350 (1997).
[CrossRef]

S. Schedin, P. O. Gren, “Phase evaluation and speckle averaging in pulsed television holography,” Appl. Opt. 36, 3941–3947 (1997).
[CrossRef] [PubMed]

S. Schedin, P. O. Gren, A. O. Wåhlin, “Transient acoustic near field in air generated by impacted plates,” J. Acoust. Soc. Am. 99, 700–705 (1996).
[CrossRef]

Sjödahl, M.

Stetson, K. A.

K. A. Stetson, “The use of an image derotator in hologram interferometry and speckle photography of rotating objects,” Exp. Mech. 18, 67–73 (1978).
[CrossRef]

Takeda, M.

Tiziani, H. J.

G. Pedrini, H. J. Tiziani, Y. Zou, “Digital double pulse-TV-holography,” Opt. Laser Eng. 26, 199–219 (1997).
[CrossRef]

Wåhlin, A.

K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
[CrossRef]

Wåhlin, A. O.

S. Schedin, P. O. Gren, A. O. Wåhlin, “Shock waves in an elliptical cavity with varying height,” Shock Waves 7, 343–350 (1997).
[CrossRef]

S. Schedin, P. O. Gren, A. O. Wåhlin, “Transient acoustic near field in air generated by impacted plates,” J. Acoust. Soc. Am. 99, 700–705 (1996).
[CrossRef]

Zou, Y.

G. Pedrini, H. J. Tiziani, Y. Zou, “Digital double pulse-TV-holography,” Opt. Laser Eng. 26, 199–219 (1997).
[CrossRef]

Appl. Opt. (4)

Exp. Mech. (2)

K. A. Stetson, “The use of an image derotator in hologram interferometry and speckle photography of rotating objects,” Exp. Mech. 18, 67–73 (1978).
[CrossRef]

K.-E. Fällström, H. Gustavsson, N.-E. Molin, A. Wåhlin, “Transient bending waves in plates studied by hologram interferometry,” Exp. Mech. 29, 378–387 (1989).
[CrossRef]

J. Acoust. Soc. Am. (1)

S. Schedin, P. O. Gren, A. O. Wåhlin, “Transient acoustic near field in air generated by impacted plates,” J. Acoust. Soc. Am. 99, 700–705 (1996).
[CrossRef]

J. Opt. Soc. Am. (1)

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

Opt. Eng. (1)

M.-A. Beeck, “Pulsed holographic vibration analysis on high-speed rotating objects: fringe formation, recording techniques, and practical applications,” Opt. Eng. 31, 553–561 (1992).
[CrossRef]

Opt. Laser Eng. (1)

G. Pedrini, H. J. Tiziani, Y. Zou, “Digital double pulse-TV-holography,” Opt. Laser Eng. 26, 199–219 (1997).
[CrossRef]

Shock Waves (1)

S. Schedin, P. O. Gren, A. O. Wåhlin, “Shock waves in an elliptical cavity with varying height,” Shock Waves 7, 343–350 (1997).
[CrossRef]

Other (2)

R. G. Hughes, “The determination of vibration patterns using a pulsed laser with holographic and electronic speckle pattern interferometry techniques,” in The Engineering Uses of Coherent Optics, E. R. Robertson, ed. (Cambridge U. Press, Cambridge, England, 1976), pp. 199–218.

T. Kreis, Holographic Interferometry, Principles and Methods (Akademie Verlag, Berlin, 1996).

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Figures (5)

Fig. 1
Fig. 1

Experimental setup. RL, ruby laser; NL, negative lens; BS, beam splitter; L1, lens to collimate the light; A, aperture; L2, imaging lens; O, object beam; R, reference beam; CCD, CCD camera; OBJ, object; AT, air track; P, pendulum (impactor).

Fig. 2
Fig. 2

Fourier spectrum of the recorded hologram that is due to a single-slit aperture and an off-axis reference beam. The outer bright rectangular bands represent the spatial frequencies of the interference pattern. The central part is the frequency content of the reference beam and light scattered from the object (speckle field).

Fig. 3
Fig. 3

In-plane translation and out-of-plane deformation of a plate. (a) Phase map for different pixel shifts of 0 and 8–12 pixels, from the bottom to the top of the image. (b) In plane displacement, each arrow corresponds to 10 pixels in displacement. (c) Restored phase map of the out-of-plane deformation.

Fig. 4
Fig. 4

In-plane rotation of a flat plate. (a) In-plane displacement field calculated with DSP. (b) Phase map without compensation for the rotation. (c) Phase map, compensated for the rotation, showing that there also is a small out-of-plane component.

Fig. 5
Fig. 5

Transient vibrations on a moving plate recorded by pulsed TV holography. (a) Restored phase map of the deformation on a 2-mm-thick moving aluminum plate caused by impact of a pendulum. (b) Three-dimensional plot of the deformation.

Equations (2)

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I=|O+R|2=|O|2+|R|2+OR*+O*R.
FI=F|O|2+F|R|2+FOR*+FO*R.

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