Abstract

A method for measuring dynamic deformations of rotating objects with pulsed digital holography is described. An optical derotator is used to compensate for the rotation. A CCD camera is used to record two holograms with a short time separation (20 µs). Results of deformations between the recordings are obtained after subtraction of the phase distribution between the two digital holograms. Fringe phase maps of the phase subtraction of two holograms compensated by the derotator and recorded with a Q-switched double-pulsed ruby laser are presented. A flat disk and the blades of a fan were investigated. We used an optical arrangement that allowed us to improve laser illumination and energy efficiency. Experimental results on quantitative evaluation of dynamical out-of-plane deformations are presented.

© 2001 Optical Society of America

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References

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  1. C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).
  2. R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge University, Cambridge, UK, 1989).
    [CrossRef]
  3. M. C. Shellabear, F. Mendoza Santoyo, J. R. Tyrer, “Processing of addition and subtraction fringes from pulsed ESPI for the study of vibrations,” in SEM Fall Conference on Hologram Interferometry and Speckle Metrology, R. J. Pryputniewicz, ed. (Society for Experimental Mechanics, Bethel, Conn., 1990), pp. 238–244.
  4. R. W. T. Preater, R. Swain, “Fourier transform fringe analysis of electronic speckle pattern interferometry fringes from high-speed rotating components,” Opt. Eng. 33, 1271–1279 (1994).
    [CrossRef]
  5. A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
    [CrossRef]
  6. 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]
  7. M. A. Beeck, “Holographic vibration analysis of rotating objects using different types of interferometers,” in 2nd European Congress on Optics Applied in Metrology, M. H. Grosmann, P. Meyrueis, eds., Proc. SPIE210, 128–134 (1979).
    [CrossRef]
  8. G. Pedrini, H. J. Tiziani, “Double-pulsed electronic speckle interferometry for vibration analysis,” Appl. Opt. 37, 7857–7862 (1994).
    [CrossRef]
  9. S. Schedin, G. Pedrini, H. J. Tiziani, “Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography,” Appl. Opt. 38, 7056–7062 (1999).
    [CrossRef]
  10. G. Pedrini, H. J. Tiziani, Y. Zou, “Digital double pulse-TV-holography,” Opt. Lasers Eng. 26, 199–219 (1997).
    [CrossRef]
  11. P. Gren, S. Schedin, X. Li, “Tomographic reconstruction of transient acoustic fields recorded by pulsed TV holography,” Appl. Opt. 37, 834–840 (1998).
    [CrossRef]

1999 (1)

1998 (1)

1997 (2)

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

A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
[CrossRef]

1994 (2)

R. W. T. Preater, R. Swain, “Fourier transform fringe analysis of electronic speckle pattern interferometry fringes from high-speed rotating components,” Opt. Eng. 33, 1271–1279 (1994).
[CrossRef]

G. Pedrini, H. J. Tiziani, “Double-pulsed electronic speckle interferometry for vibration analysis,” Appl. Opt. 37, 7857–7862 (1994).
[CrossRef]

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]

Beeck, M. A.

M. A. Beeck, “Holographic vibration analysis of rotating objects using different types of interferometers,” in 2nd European Congress on Optics Applied in Metrology, M. H. Grosmann, P. Meyrueis, eds., Proc. SPIE210, 128–134 (1979).
[CrossRef]

Gren, P.

Jones, R.

R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge University, Cambridge, UK, 1989).
[CrossRef]

Li, X.

Mendoza Santoyo, F.

M. C. Shellabear, F. Mendoza Santoyo, J. R. Tyrer, “Processing of addition and subtraction fringes from pulsed ESPI for the study of vibrations,” in SEM Fall Conference on Hologram Interferometry and Speckle Metrology, R. J. Pryputniewicz, ed. (Society for Experimental Mechanics, Bethel, Conn., 1990), pp. 238–244.

Moore, A. J.

A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
[CrossRef]

Pedrini, G.

S. Schedin, G. Pedrini, H. J. Tiziani, “Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography,” Appl. Opt. 38, 7056–7062 (1999).
[CrossRef]

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

G. Pedrini, H. J. Tiziani, “Double-pulsed electronic speckle interferometry for vibration analysis,” Appl. Opt. 37, 7857–7862 (1994).
[CrossRef]

Pérez-López, C.

A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
[CrossRef]

Preater, R. W. T.

R. W. T. Preater, R. Swain, “Fourier transform fringe analysis of electronic speckle pattern interferometry fringes from high-speed rotating components,” Opt. Eng. 33, 1271–1279 (1994).
[CrossRef]

Schedin, S.

Shellabear, M. C.

M. C. Shellabear, F. Mendoza Santoyo, J. R. Tyrer, “Processing of addition and subtraction fringes from pulsed ESPI for the study of vibrations,” in SEM Fall Conference on Hologram Interferometry and Speckle Metrology, R. J. Pryputniewicz, ed. (Society for Experimental Mechanics, Bethel, Conn., 1990), pp. 238–244.

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]

Swain, R.

R. W. T. Preater, R. Swain, “Fourier transform fringe analysis of electronic speckle pattern interferometry fringes from high-speed rotating components,” Opt. Eng. 33, 1271–1279 (1994).
[CrossRef]

Tiziani, H. J.

S. Schedin, G. Pedrini, H. J. Tiziani, “Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography,” Appl. Opt. 38, 7056–7062 (1999).
[CrossRef]

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

G. Pedrini, H. J. Tiziani, “Double-pulsed electronic speckle interferometry for vibration analysis,” Appl. Opt. 37, 7857–7862 (1994).
[CrossRef]

Tyrer, J. R.

M. C. Shellabear, F. Mendoza Santoyo, J. R. Tyrer, “Processing of addition and subtraction fringes from pulsed ESPI for the study of vibrations,” in SEM Fall Conference on Hologram Interferometry and Speckle Metrology, R. J. Pryputniewicz, ed. (Society for Experimental Mechanics, Bethel, Conn., 1990), pp. 238–244.

Vest, C. M.

C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).

Wykes, C.

R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge University, Cambridge, UK, 1989).
[CrossRef]

Zou, Y.

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

Appl. Opt. (3)

Exp. Mech. (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]

Opt. Commun. (1)

A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
[CrossRef]

Opt. Eng. (1)

R. W. T. Preater, R. Swain, “Fourier transform fringe analysis of electronic speckle pattern interferometry fringes from high-speed rotating components,” Opt. Eng. 33, 1271–1279 (1994).
[CrossRef]

Opt. Lasers Eng. (1)

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

Other (4)

M. A. Beeck, “Holographic vibration analysis of rotating objects using different types of interferometers,” in 2nd European Congress on Optics Applied in Metrology, M. H. Grosmann, P. Meyrueis, eds., Proc. SPIE210, 128–134 (1979).
[CrossRef]

C. M. Vest, Holographic Interferometry (Wiley, New York, 1979).

R. Jones, C. Wykes, Holographic and Speckle Interferometry (Cambridge University, Cambridge, UK, 1989).
[CrossRef]

M. C. Shellabear, F. Mendoza Santoyo, J. R. Tyrer, “Processing of addition and subtraction fringes from pulsed ESPI for the study of vibrations,” in SEM Fall Conference on Hologram Interferometry and Speckle Metrology, R. J. Pryputniewicz, ed. (Society for Experimental Mechanics, Bethel, Conn., 1990), pp. 238–244.

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Figures (4)

Fig. 1
Fig. 1

Experimental setup: AP, aperture; BS1, BS2, beam splitters; NL, negative lens; L1, L2, positive lenses; OF, optical fiber.

Fig. 2
Fig. 2

(a) Wrapped phase map showing dynamic out-of-plane deformation of a compact disc rotating at 2500 rpm, excited with friction. (b) Unwrapped phase map.

Fig. 3
Fig. 3

(a) Wrapped phase map showing deformation at a frequency of 1000 rpm with the friction excitation positioned at half the radius of the disk. (b) Unwrapped phase map.

Fig. 4
Fig. 4

Deformation of a three-blade fan rotating at 1000 rpm. (a) Wrapped phase map, (b) unwrapped phase map showing a pseudo–three-dimensional representation of the deformation.

Equations (1)

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IxH, yH=|rxH, yH|2+|oHxH, yH|2+rxH, yHoH*xH, yH+r*xH, yHoHxH, yH,

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