Abstract

A system based on digital holographic interferometry for the measurement of vibrations is presented. A high-power continuous laser (10  W) and a high-speed CCD camera are used. Hundreds of holograms of an object that has been subjected to dynamic deformation are recorded. The acquisition speed and the time of exposure of the detector are determined by the vibration frequency. Two methods are presented for triggering the camera in order to acquire at a given phase of the vibration. The phase of the wavefront is calculated from the recorded holograms by use of a two-dimensional digital Fourier-transform method. The deformation of the object is obtained from the phase. By combination of the deformations recorded at different times it is possible to reconstruct the vibration of the object.

© 2006 Optical Society of America

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References

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2005 (1)

2003 (2)

2001 (2)

J. Moore, J. D. Jones, and J. D. Valera, "Dynamic measurements," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 4, pp. 225-288.

G. Pedrini and H. J. Tiziani, "Digital holographic interferometry," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 6, pp. 337-362.

2000 (1)

1999 (3)

1998 (1)

1997 (2)

1996 (1)

1995 (1)

G. Pedrini, Y. L. Zou, and H. J. Tiziani, "Digital double pulse-holographic interferometry for vibration analysis," J. Mod. Opt. 42, 367-374 (1995).
[CrossRef]

1994 (1)

1993 (1)

1989 (1)

R. Jones and C. Wykes, Holographic and Speckle Interferometry, 2nd ed. (Cambridge University, 1989), Chap. 3.

1982 (1)

1979 (1)

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

1965 (2)

Alexeenko, I.

Barton, J. S.

Carlsson, T. E.

Davila, A.

Franze, B.

Gougeon, S.

Haible, P.

Hand, D. P.

Huntley, J. M.

Ina, H.

Joenathan, C.

Jones, J. D.

J. Moore, J. D. Jones, and J. D. Valera, "Dynamic measurements," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 4, pp. 225-288.

Jones, J. D. C.

Jones, R.

R. Jones and C. Wykes, Holographic and Speckle Interferometry, 2nd ed. (Cambridge University, 1989), Chap. 3.

Kaufmann, G. H.

Kerr, D.

Kobayashi, S.

Leval, J.

Molin, N.-E.

Moore, A. J.

Moore, J.

J. Moore, J. D. Jones, and J. D. Valera, "Dynamic measurements," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 4, pp. 225-288.

Mounier, D.

Osten, W.

Pedrini, G.

G. Pedrini, I. Alexeenko, W. Osten, and H. J. Tiziani, "Temporal phase unwrapping of digital hologram sequences," Appl. Opt. 42, 5846-5854 (2003).
[CrossRef] [PubMed]

G. Pedrini and H. J. Tiziani, "Digital holographic interferometry," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 6, pp. 337-362.

S. Schedin, G. Pedrini, H. J. Tiziani, and F. Mendoza Santoyo, "Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography," Appl. Opt. 38, 7056-7062 (1999).
[CrossRef]

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

G. Pedrini, Y. L. Zou, and H. J. Tiziani, "Digital double pulse-holographic interferometry for vibration analysis," J. Mod. Opt. 42, 367-374 (1995).
[CrossRef]

Picart, P.

Powell, R. L.

Saldner, H.

Saldner, H. O.

Santoyo, F. Mendoza

Schedin, S.

Schnars, U.

Stetson, K. A.

Takeda, M.

Tiziani, H.

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

Tiziani, H. J.

Valera, J. D.

J. Moore, J. D. Jones, and J. D. Valera, "Dynamic measurements," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 4, pp. 225-288.

Vest, C. M.

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

Wei, A.

Wykes, C.

R. Jones and C. Wykes, Holographic and Speckle Interferometry, 2nd ed. (Cambridge University, 1989), Chap. 3.

Zou, Y.

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

Zou, Y. L.

G. Pedrini, Y. L. Zou, and H. J. Tiziani, "Digital double pulse-holographic interferometry for vibration analysis," J. Mod. Opt. 42, 367-374 (1995).
[CrossRef]

Appl. Opt. (10)

H. O. Saldner, N.-E. Molin, and K. A. Stetson, "Fourier-transform evaluation of phase data in spatially phase-biased TV holograms," Appl. Opt. 35, 332-336 (1996).
[CrossRef] [PubMed]

S. Schedin, G. Pedrini, H. J. Tiziani, and F. Mendoza Santoyo, "Simultaneous three-dimensional dynamic deformation measurements with pulsed digital holography," Appl. Opt. 38, 7056-7062 (1999).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, and H. J. Tiziani, "Speckle interferometry with temporal phase evaluation for measuring large-object deformation," Appl. Opt. 37, 2608-2614 (1998).
[CrossRef]

J. M. Huntley and H. Saldner, "Temporal phase-unwrapping algorithm for automated interferogram analysis," Appl. Opt. 32, 3047-3052 (1993).
[CrossRef] [PubMed]

H. O. Saldner and J. M. Huntley, "Temporal phase unwrapping: application to surface profiling of discontinuous objects," Appl. Opt. 36, 2770-2775 (1997).
[CrossRef] [PubMed]

J. M. Huntley, G. H. Kaufmann, and D. Kerr, "Phase-shifted dynamic speckle pattern interferometry at 1 kHz," Appl. Opt. 38, 6556-6563 (1999).
[CrossRef]

A. J. Moore, D. P. Hand, J. S. Barton, and J. D. C. Jones, "Transient deformation measurement with electronic speckle pattern interferometry and a high-speed camera," Appl. Opt. 38, 1159-1162 (1999).
[CrossRef]

T. E. Carlsson and A. Wei, "Phase evaluation of speckle patterns during continuous deformation by use of phase-shifting speckle interferometry," Appl. Opt. 39, 2628-2637 (2000).
[CrossRef]

A. Davila, J. M. Huntley, G. H. Kaufmann, and D. Kerr, "High-speed dynamic speckle interferometry:phase errors due to intensity, velocity, and speckle decorrelation," Appl. Opt. 44, 3954-3962 (2005).
[CrossRef] [PubMed]

G. Pedrini, I. Alexeenko, W. Osten, and H. J. Tiziani, "Temporal phase unwrapping of digital hologram sequences," Appl. Opt. 42, 5846-5854 (2003).
[CrossRef] [PubMed]

J. Mod. Opt. (1)

G. Pedrini, Y. L. Zou, and H. J. Tiziani, "Digital double pulse-holographic interferometry for vibration analysis," J. Mod. Opt. 42, 367-374 (1995).
[CrossRef]

J. Opt. Soc. Am. (3)

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

Opt. Laser Eng. (1)

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

Opt. Lett. (1)

Other (4)

J. Moore, J. D. Jones, and J. D. Valera, "Dynamic measurements," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 4, pp. 225-288.

G. Pedrini and H. J. Tiziani, "Digital holographic interferometry," in Digital Speckle Pattern Interferometry and Related Techniques, P.K.Rastogi, ed. (Wiley, 2001), Chap. 6, pp. 337-362.

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

R. Jones and C. Wykes, Holographic and Speckle Interferometry, 2nd ed. (Cambridge University, 1989), Chap. 3.

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Figures (7)

Fig. 1
Fig. 1

Optical arrangement for high-speed digital holographic interferometry.

Fig. 2
Fig. 2

Procedure for calculating the deformation as a function of the time from a sequence of digital holograms recorded by using a high-speed sensor.

Fig. 3
Fig. 3

(a) Schematic showing the vibration signal as a function of time. (b) Sampling of the vibration. (c) Integration time for the hologram recording.

Fig. 4
Fig. 4

Plate vibrating at the frequency of 88 Hz, (60 mm × 60 mm × 0.5 mm). (a)–(l) Deformation of the plate as a function of time. The frequency of acquisition was 955 Hz, and the time interval between two acquisitions was 1.05 ms.

Fig. 5
Fig. 5

(a) Periodical vibration signal. (b) Sampling of the vibration at different periods. (c) Shift of the acquisition time with respect to the vibration cycle.

Fig. 6
Fig. 6

Plate vibrating at 943 Hz, (60 mm × 60 mm × 0.5 mm). (a)–(h) Deformation of the plate as a function of time. The frequency of acquisition (CCD frame rate) was 907 Hz. Only 8 of the 25 evaluations are shown.

Fig. 7
Fig. 7

Plate vibrating at 943 Hz, (60 mm × 60 mm × 0.5 mm). (a)–(h) Phase maps corresponding to the deformation of the plate shown in Fig. 6.

Equations (5)

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

I H ( x , y ) = | R H ( x , y ) | 2 + | U H ( x , y ) | 2 + R H ( x , y ) U H * ( x , y ) + R H * ( x , y ) U H ( x , y ) ,
ϕ H w ( m Δ x , n Δ y ) = arctan Im [ U H ( m Δ x , n Δ y ) ] Re [ U H ( m Δ x , n Δ y ) ] ,
Δ ϕ k , k 1 = ϕ H w ( m Δ x , n Δ y , k Δ τ ) ϕ H w ( m Δ x , n Δ y , ( k 1 ) Δ τ ) .
Δ ϕ k , 1 = 1 k Δ ϕ k , k 1 ,
Δ ϕ k , 1 = 2 π λ d k , 1 S ,

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