Abstract

We have used a computer-generated holographic optical element (HOE) with electronic speckle pattern interferometry to calculate the interference phase corresponding to the deformation of a test object from a single TV frame. The HOE is a modified crossed phase grating that introduces a known phase change between the ±1 diffracted orders, without being translated. The progressive propagation of transient mechanical waves was measured with an rms precision of 2π/30.

© 1999 Optical Society of America

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References

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  1. T. J. Cookson, J. N. Butters, H. C. Pollard, “Pulsed lasers in electronic speckle pattern interferometry,” Opt. Laser Technol. 10, 119–124 (1978).
    [CrossRef]
  2. A. J. Moore, C. Pérez-López, “Fringe visibility enhancement and phase calculation in double-pulsed addition ESPI,” J. Mod. Opt. 43, 1829–1844 (1996).
    [CrossRef]
  3. A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
    [CrossRef]
  4. G. Pedrini, Y.-L. Zou, H. Tiziani, “Simultaneous quantitative evaluation of in-plane and out-of-plane deformations by use of a multidirectional spatial carrier,” Appl. Opt. 36, 786–792 (1997).
    [CrossRef] [PubMed]
  5. A. J. P. Haasteren, H. J. Frankena, “Real-time displacement measurement using a multicamera phase-stepping speckle interferometer,” Appl. Opt. 33, 4137–4142 (1994).
    [CrossRef] [PubMed]
  6. O. Y. Kwon, D. M. Shough, R. A. Williams, “Stroboscopic phase-shifting interferometry,” Opt. Lett. 12, 855–857 (1987).
    [CrossRef] [PubMed]
  7. M. Kujawinska, A. Spik, D. W. Robinson, “Multichannel phase-stepped holographic interferometry,” Appl. Opt. 27, 312–320 (1988).
    [CrossRef] [PubMed]
  8. M. Dininger, L. L. Wang, K. Gerstner, T. Tschudi, “Optical phase step method for absolute ranging interferometry using computer-generated holograms,” Appl. Opt. 34, 5620–5623 (1995).
    [CrossRef]
  9. S. Nakadate, H. Saito, “Fringe scanning speckle-pattern interferometry,” Appl. Opt. 24, 2172–2180 (1985).
    [CrossRef] [PubMed]
  10. K. Creath, “Phase-shifting speckle interferometry,” Appl. Opt. 24, 3053–3058 (1985).
    [CrossRef] [PubMed]
  11. D. W. Robinson, D. C. Williams, “Digital phase stepping speckle interferometry,” Opt. Commun. 57, 26–30 (1986).
    [CrossRef]
  12. P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–16 (1966).
    [CrossRef]
  13. A. Fernández, A. J. Moore, C. Pérez-López, A. F. Doval, J. Blanco-García, “Study of transient deformation with pulsed TV holography: application to crack detection,” Appl. Opt. 36, 2058–2065 (1997).
    [CrossRef]

1997 (3)

1996 (1)

A. J. Moore, C. Pérez-López, “Fringe visibility enhancement and phase calculation in double-pulsed addition ESPI,” J. Mod. Opt. 43, 1829–1844 (1996).
[CrossRef]

1995 (1)

1994 (1)

1988 (1)

1987 (1)

1986 (1)

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

1985 (2)

1978 (1)

T. J. Cookson, J. N. Butters, H. C. Pollard, “Pulsed lasers in electronic speckle pattern interferometry,” Opt. Laser Technol. 10, 119–124 (1978).
[CrossRef]

1966 (1)

P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–16 (1966).
[CrossRef]

Blanco-García, J.

Butters, J. N.

T. J. Cookson, J. N. Butters, H. C. Pollard, “Pulsed lasers in electronic speckle pattern interferometry,” Opt. Laser Technol. 10, 119–124 (1978).
[CrossRef]

Carré, P.

P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–16 (1966).
[CrossRef]

Cookson, T. J.

T. J. Cookson, J. N. Butters, H. C. Pollard, “Pulsed lasers in electronic speckle pattern interferometry,” Opt. Laser Technol. 10, 119–124 (1978).
[CrossRef]

Creath, K.

Dininger, M.

Doval, A. F.

Fernández, A.

Frankena, H. J.

Gerstner, K.

Haasteren, A. J. P.

Kujawinska, M.

Kwon, O. Y.

Moore, A. J.

A. Fernández, A. J. Moore, C. Pérez-López, A. F. Doval, J. Blanco-García, “Study of transient deformation with pulsed TV holography: application to crack detection,” Appl. Opt. 36, 2058–2065 (1997).
[CrossRef]

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

A. J. Moore, C. Pérez-López, “Fringe visibility enhancement and phase calculation in double-pulsed addition ESPI,” J. Mod. Opt. 43, 1829–1844 (1996).
[CrossRef]

Nakadate, S.

Pedrini, G.

Pérez-López, C.

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

A. Fernández, A. J. Moore, C. Pérez-López, A. F. Doval, J. Blanco-García, “Study of transient deformation with pulsed TV holography: application to crack detection,” Appl. Opt. 36, 2058–2065 (1997).
[CrossRef]

A. J. Moore, C. Pérez-López, “Fringe visibility enhancement and phase calculation in double-pulsed addition ESPI,” J. Mod. Opt. 43, 1829–1844 (1996).
[CrossRef]

Pollard, H. C.

T. J. Cookson, J. N. Butters, H. C. Pollard, “Pulsed lasers in electronic speckle pattern interferometry,” Opt. Laser Technol. 10, 119–124 (1978).
[CrossRef]

Robinson, D. W.

M. Kujawinska, A. Spik, D. W. Robinson, “Multichannel phase-stepped holographic interferometry,” Appl. Opt. 27, 312–320 (1988).
[CrossRef] [PubMed]

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

Saito, H.

Shough, D. M.

Spik, A.

Tiziani, H.

Tschudi, T.

Wang, L. L.

Williams, D. C.

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

Williams, R. A.

Zou, Y.-L.

Appl. Opt. (7)

J. Mod. Opt. (1)

A. J. Moore, C. Pérez-López, “Fringe visibility enhancement and phase calculation in double-pulsed addition ESPI,” J. Mod. Opt. 43, 1829–1844 (1996).
[CrossRef]

Metrologia (1)

P. Carré, “Installation et utilisation du comparateur photoélectrique et interférentiel du Bureau International des Poids et Mesures,” Metrologia 2, 13–16 (1966).
[CrossRef]

Opt. Commun. (2)

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

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

Opt. Laser Technol. (1)

T. J. Cookson, J. N. Butters, H. C. Pollard, “Pulsed lasers in electronic speckle pattern interferometry,” Opt. Laser Technol. 10, 119–124 (1978).
[CrossRef]

Opt. Lett. (1)

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Figures (4)

Fig. 1
Fig. 1

Schematic of experimental system. Abbreviations are described in the text, except plane mirror (M) and microscope objective (MO).

Fig. 2
Fig. 2

Diffracted orders as recorded by the CCD. Incremental phase step between orders of (k - 1)π/2.

Fig. 3
Fig. 3

(a) Phase-referenced speckle pattern. Correlation fringes produced by (b) subtracting corresponding orders in reference and deformed images (phase step eliminated) and (c) subtracting order k = 1 of reference image from orders k = 1 through k = 4 of deformed image (phase step present).

Fig. 4
Fig. 4

Phase maps showing progressive propagation of mechanical wave. Each phase map was calculated from a single TV image recorded at (a) 15 µs, (b) 19 µs, (c) 21 µs, and (d) 23 µs after impact. The asymmetric wave front reveals presence of a notch.

Equations (2)

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Iref,km, n=Io,km, n+Ir,km, n+2Io,km, nIr,km, n1/2×cosφm, n+k-1π2,
Iref,km, n=Ko,kKr,km, n1/2Iref,km, n-Io,km, n-Ir,km, n.

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