Abstract

We report the measurement of transient bending waves with double-pulsed-subtraction TV holography. The correlation fringe patterns are automatically quantitatively analyzed by the application of Fourier methods. A novel optical setup with two different object-beam optical paths is demonstrated for the generation of carrier fringes. The proposed system is highly immune to environmental disturbances because the optical setup imposes no lower limit on the time separation between laser pulses. One removes the linear phase distribution due to the spatial carrier in the spatial domain by subtracting the phase of the undeformed carrier fringes from the phase of the modulated fringes. Experimental results obtained with an aluminum plate excited by the impact of a piezoelectric translator are presented.

© 1998 Optical Society of America

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  1. R. Jones, C. Wykes, Holographic and Speckle Interferometry, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1989).
  2. J. C. Davies, C. H. Buckberry, “Television holography and its applications,” in Optical Methods in Engineering Metrology, D. C. Williams, ed. (Chapman and Hall, London, 1993), pp. 275–338.
    [CrossRef]
  3. M. Kujawinska, “Spatial phase measurement methods,” in Interferogram Analysis, D. W. Robinson, G. T. Reid, eds. (Institute of Physics Press, Bristol, 1993), pp. 141–193.
  4. G. Pedrini, H. J. Tiziani, “Double-pulse electronic speckle interferometry for vibration analysis,” Appl. Opt. 33, 7857–7863 (1994).
    [CrossRef] [PubMed]
  5. G. Pedrini, B. Pfister, H. J. Tiziani, “Double pulse-electronic speckle interferometry,” J. Mod. Opt. 40, 89–96 (1993).
    [CrossRef]
  6. R. Spooren, “Double-pulse subtraction TV holography,” Opt. Eng. 31, 1000–1007 (1992).
    [CrossRef]
  7. H. O. Saldner, N.-E. Molin, K. A. Stetson, “Fourier-transform evaluation of phase data in spatially phase-biased TV holograms,” Appl. Opt. 35, 332–336 (1996).
    [CrossRef] [PubMed]
  8. S. Schedin, P. Gren, “Phase evaluation and speckle averaging in pulsed television holography,” Appl. Opt. 36, 3941–3947 (1997).
    [CrossRef] [PubMed]
  9. A. Dávila, D. Kerr, G. H. Kaufmann, “Fast electro-optical system for pulsed ESPI carrier fringe generation,” Opt. Commun. 123, 457–464 (1996).
    [CrossRef]
  10. J. N. Petzing, A. Dávila, D. Kerr, J. R. Tyrer, “Transient vibration analysis using pulsed carrier speckle interferometry,” in Proceedings of the Applied Optics Division Conference (Institute of Physics, Bristol, 1996), pp. 268–273.
  11. J. N. Petzing, D. Kerr, J. R. Tryrer, Department of Mechanical Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK;D. I. Farrant, B. F. Oreb, Telecommunications and Industrial Physics, CSIRO, Bradfield Road, West Lindfield, NSW 2070, Australia; G. H. Kaufmann, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Rosario, Bv. 27 de Febrero 210 bis, 2000 Rosario, República Argentina, “The development of pulsed electronic speckle pattern interferometer design for transient vibration analysis” (personal communication, May1997).
  12. D. I. Farrant, G. H. Kaufmann, J. N. Petzing, J. R. Tyrer, B. F. Oreb, D. Kerr, “Transient deformation measurement using dual-pulse addition ESPI,” in Ultrahigh and High-Speed Photography and Image-Based Motion Measurement, D. R. Snyder, A. Davidhazy, T. Etoh, eds., Proc. SPIE3173, 132–140 (1997).
    [CrossRef]
  13. A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
    [CrossRef]
  14. A. J. Moore, C. Pérez-López, “Double-pulsed addition ESPI for harmmonic vibration and transient deformation measurements,” in Proceedings of the Applied Optics Division Conference (Institute of Optics, Bristol, 1996), pp. 228–238.
  15. A. J. Moore, C. Pérez-López, “Fringe carrier methods in double-pulsed addition ESPI,” Opt. Commun. 141, 203–212 (1997).
    [CrossRef]
  16. 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]
  17. 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]
  18. H. C. Lefevre, “Single-mode fibre fractional wave devices and polarisation controllers,” Electron. Lett. 16, 778–780 (1980).
    [CrossRef]
  19. J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
    [CrossRef]
  20. A. Fernández, A. J. Moore, C. Pérez-López, A. F. Doval, J. Blanco-García, “Study of transient deformations with pulsed TV holography: application to crack detection,” Appl. Opt. 36, 2058–2065 (1997).
    [CrossRef]
  21. J. M. Huntley, J. E. Field, “High resolution moiré photography: application to dynamic stress analysis,” Opt. Eng. 28, 926–933 (1989).
    [CrossRef]
  22. J. Gu, F. Chen, “Fast Fourier transform, iteration, and least-squares-fit demodulation image processing for analysis of single-carrier fringe pattern,” J. Opt. Soc. Am. A 12, 2159–2164 (1995).
    [CrossRef]
  23. T. Takatsuji, B. F. Oreb, D. I. Farrant, J. R. Tyrer, “Simultaneous measurement of three orthogonal components of displacement by electronic speckle-pattern interferometry and the Fourier transform method,” Appl. Opt. 36, 1438–1445 (1997).
    [CrossRef] [PubMed]
  24. D. R. Burton, M. J. Lalor, “Managing some of the problems of Fourier fringe analysis,” in Fringe Pattern Analysis, G. T. Reid, ed., Proc. SPIE1163, 149–160 (1989).
    [CrossRef]
  25. D. Kerr, F. Mendoza, J. R. Tyrer, “Manipulation of the Fourier components of speckle fringe patterns as part of an interferometric analysis process,” J. Mod. Opt. 36, 195–203 (1989).
    [CrossRef]

1997 (4)

1996 (2)

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

A. Dávila, D. Kerr, G. H. Kaufmann, “Fast electro-optical system for pulsed ESPI carrier fringe generation,” Opt. Commun. 123, 457–464 (1996).
[CrossRef]

1995 (1)

1994 (2)

G. Pedrini, H. J. Tiziani, “Double-pulse electronic speckle interferometry for vibration analysis,” Appl. Opt. 33, 7857–7863 (1994).
[CrossRef] [PubMed]

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]

1993 (1)

G. Pedrini, B. Pfister, H. J. Tiziani, “Double pulse-electronic speckle interferometry,” J. Mod. Opt. 40, 89–96 (1993).
[CrossRef]

1992 (1)

R. Spooren, “Double-pulse subtraction TV holography,” Opt. Eng. 31, 1000–1007 (1992).
[CrossRef]

1989 (2)

J. M. Huntley, J. E. Field, “High resolution moiré photography: application to dynamic stress analysis,” Opt. Eng. 28, 926–933 (1989).
[CrossRef]

D. Kerr, F. Mendoza, J. R. Tyrer, “Manipulation of the Fourier components of speckle fringe patterns as part of an interferometric analysis process,” J. Mod. Opt. 36, 195–203 (1989).
[CrossRef]

1982 (1)

1980 (1)

H. C. Lefevre, “Single-mode fibre fractional wave devices and polarisation controllers,” Electron. Lett. 16, 778–780 (1980).
[CrossRef]

Alén, J. M.

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

Blanco-García, J.

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

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

Buckberry, C. H.

J. C. Davies, C. H. Buckberry, “Television holography and its applications,” in Optical Methods in Engineering Metrology, D. C. Williams, ed. (Chapman and Hall, London, 1993), pp. 275–338.
[CrossRef]

Bugarín, J.

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

Burton, D. R.

D. R. Burton, M. J. Lalor, “Managing some of the problems of Fourier fringe analysis,” in Fringe Pattern Analysis, G. T. Reid, ed., Proc. SPIE1163, 149–160 (1989).
[CrossRef]

Chen, F.

Davies, J. C.

J. C. Davies, C. H. Buckberry, “Television holography and its applications,” in Optical Methods in Engineering Metrology, D. C. Williams, ed. (Chapman and Hall, London, 1993), pp. 275–338.
[CrossRef]

Dávila, A.

A. Dávila, D. Kerr, G. H. Kaufmann, “Fast electro-optical system for pulsed ESPI carrier fringe generation,” Opt. Commun. 123, 457–464 (1996).
[CrossRef]

J. N. Petzing, A. Dávila, D. Kerr, J. R. Tyrer, “Transient vibration analysis using pulsed carrier speckle interferometry,” in Proceedings of the Applied Optics Division Conference (Institute of Physics, Bristol, 1996), pp. 268–273.

Dorrío, B. V.

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

Doval, A. F.

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

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

Farrant, D. I.

T. Takatsuji, B. F. Oreb, D. I. Farrant, J. R. Tyrer, “Simultaneous measurement of three orthogonal components of displacement by electronic speckle-pattern interferometry and the Fourier transform method,” Appl. Opt. 36, 1438–1445 (1997).
[CrossRef] [PubMed]

D. I. Farrant, G. H. Kaufmann, J. N. Petzing, J. R. Tyrer, B. F. Oreb, D. Kerr, “Transient deformation measurement using dual-pulse addition ESPI,” in Ultrahigh and High-Speed Photography and Image-Based Motion Measurement, D. R. Snyder, A. Davidhazy, T. Etoh, eds., Proc. SPIE3173, 132–140 (1997).
[CrossRef]

Fernández, A.

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

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

Fernández, J. L.

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

Field, J. E.

J. M. Huntley, J. E. Field, “High resolution moiré photography: application to dynamic stress analysis,” Opt. Eng. 28, 926–933 (1989).
[CrossRef]

Gren, P.

Gu, J.

Huntley, J. M.

J. M. Huntley, J. E. Field, “High resolution moiré photography: application to dynamic stress analysis,” Opt. Eng. 28, 926–933 (1989).
[CrossRef]

Ina, H.

Jones, R.

R. Jones, C. Wykes, Holographic and Speckle Interferometry, 2nd ed. (Cambridge U. Press, Cambridge, UK, 1989).

Kaufmann, G. H.

A. Dávila, D. Kerr, G. H. Kaufmann, “Fast electro-optical system for pulsed ESPI carrier fringe generation,” Opt. Commun. 123, 457–464 (1996).
[CrossRef]

D. I. Farrant, G. H. Kaufmann, J. N. Petzing, J. R. Tyrer, B. F. Oreb, D. Kerr, “Transient deformation measurement using dual-pulse addition ESPI,” in Ultrahigh and High-Speed Photography and Image-Based Motion Measurement, D. R. Snyder, A. Davidhazy, T. Etoh, eds., Proc. SPIE3173, 132–140 (1997).
[CrossRef]

Kerr, D.

A. Dávila, D. Kerr, G. H. Kaufmann, “Fast electro-optical system for pulsed ESPI carrier fringe generation,” Opt. Commun. 123, 457–464 (1996).
[CrossRef]

D. Kerr, F. Mendoza, J. R. Tyrer, “Manipulation of the Fourier components of speckle fringe patterns as part of an interferometric analysis process,” J. Mod. Opt. 36, 195–203 (1989).
[CrossRef]

J. N. Petzing, A. Dávila, D. Kerr, J. R. Tyrer, “Transient vibration analysis using pulsed carrier speckle interferometry,” in Proceedings of the Applied Optics Division Conference (Institute of Physics, Bristol, 1996), pp. 268–273.

D. I. Farrant, G. H. Kaufmann, J. N. Petzing, J. R. Tyrer, B. F. Oreb, D. Kerr, “Transient deformation measurement using dual-pulse addition ESPI,” in Ultrahigh and High-Speed Photography and Image-Based Motion Measurement, D. R. Snyder, A. Davidhazy, T. Etoh, eds., Proc. SPIE3173, 132–140 (1997).
[CrossRef]

Kobayashi, S.

Kujawinska, M.

M. Kujawinska, “Spatial phase measurement methods,” in Interferogram Analysis, D. W. Robinson, G. T. Reid, eds. (Institute of Physics Press, Bristol, 1993), pp. 141–193.

Lalor, M. J.

D. R. Burton, M. J. Lalor, “Managing some of the problems of Fourier fringe analysis,” in Fringe Pattern Analysis, G. T. Reid, ed., Proc. SPIE1163, 149–160 (1989).
[CrossRef]

Lefevre, H. C.

H. C. Lefevre, “Single-mode fibre fractional wave devices and polarisation controllers,” Electron. Lett. 16, 778–780 (1980).
[CrossRef]

López, C.

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

Mendoza, F.

D. Kerr, F. Mendoza, J. R. Tyrer, “Manipulation of the Fourier components of speckle fringe patterns as part of an interferometric analysis process,” J. Mod. Opt. 36, 195–203 (1989).
[CrossRef]

Molin, N.-E.

Moore, A. J.

A. Fernández, A. J. Moore, C. Pérez-López, A. F. Doval, J. Blanco-García, “Study of transient deformations 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, “Double-pulsed addition ESPI for harmmonic vibration and transient deformation measurements,” in Proceedings of the Applied Optics Division Conference (Institute of Optics, Bristol, 1996), pp. 228–238.

Oreb, B. F.

T. Takatsuji, B. F. Oreb, D. I. Farrant, J. R. Tyrer, “Simultaneous measurement of three orthogonal components of displacement by electronic speckle-pattern interferometry and the Fourier transform method,” Appl. Opt. 36, 1438–1445 (1997).
[CrossRef] [PubMed]

D. I. Farrant, G. H. Kaufmann, J. N. Petzing, J. R. Tyrer, B. F. Oreb, D. Kerr, “Transient deformation measurement using dual-pulse addition ESPI,” in Ultrahigh and High-Speed Photography and Image-Based Motion Measurement, D. R. Snyder, A. Davidhazy, T. Etoh, eds., Proc. SPIE3173, 132–140 (1997).
[CrossRef]

Pedrini, G.

G. Pedrini, H. J. Tiziani, “Double-pulse electronic speckle interferometry for vibration analysis,” Appl. Opt. 33, 7857–7863 (1994).
[CrossRef] [PubMed]

G. Pedrini, B. Pfister, H. J. Tiziani, “Double pulse-electronic speckle interferometry,” J. Mod. Opt. 40, 89–96 (1993).
[CrossRef]

Pérez-Amor, M.

A. Fernández, A. F. Doval, J. Bugarín, B. V. Dorrío, C. López, J. M. Alén, J. Blanco-García, M. Pérez-Amor, J. L. Fernández, “Transient bending waves analysis by Fourier evaluation of single pulsed TV-holography fringe patterns,” in Optical Inspection and Micromeasurements II, C. Gorecki, ed., Proc. SPIE3098, 575–581 (1997).
[CrossRef]

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[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]

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

A. J. Moore, C. Pérez-López, “Double-pulsed addition ESPI for harmmonic vibration and transient deformation measurements,” in Proceedings of the Applied Optics Division Conference (Institute of Optics, Bristol, 1996), pp. 228–238.

Petzing, J. N.

J. N. Petzing, A. Dávila, D. Kerr, J. R. Tyrer, “Transient vibration analysis using pulsed carrier speckle interferometry,” in Proceedings of the Applied Optics Division Conference (Institute of Physics, Bristol, 1996), pp. 268–273.

D. I. Farrant, G. H. Kaufmann, J. N. Petzing, J. R. Tyrer, B. F. Oreb, D. Kerr, “Transient deformation measurement using dual-pulse addition ESPI,” in Ultrahigh and High-Speed Photography and Image-Based Motion Measurement, D. R. Snyder, A. Davidhazy, T. Etoh, eds., Proc. SPIE3173, 132–140 (1997).
[CrossRef]

Pfister, B.

G. Pedrini, B. Pfister, H. J. Tiziani, “Double pulse-electronic speckle interferometry,” J. Mod. Opt. 40, 89–96 (1993).
[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]

Saldner, H. O.

Schedin, S.

Soto, R.

J. Blanco-García, A. F. Doval, A. Fernández, B. V. Dorrío, C. López, R. Soto, J. M. Alén, J. L. Fernández, M. Pérez-Amor, “Crack detection by TV-holography: continuous and pulsed techniques,” in Proceedings of the Second Iberoamerican Meeting on Optics, D. Malacara, S. E. Acosta, R. R. Vera, Z. Malacara, A. Morales, eds., Proc. SPIE2730, 101–105 (1996).
[CrossRef]

Spooren, R.

R. Spooren, “Double-pulse subtraction TV holography,” Opt. Eng. 31, 1000–1007 (1992).
[CrossRef]

Stetson, K. A.

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]

Takatsuji, T.

Takeda, M.

Tiziani, H. J.

G. Pedrini, H. J. Tiziani, “Double-pulse electronic speckle interferometry for vibration analysis,” Appl. Opt. 33, 7857–7863 (1994).
[CrossRef] [PubMed]

G. Pedrini, B. Pfister, H. J. Tiziani, “Double pulse-electronic speckle interferometry,” J. Mod. Opt. 40, 89–96 (1993).
[CrossRef]

Tyrer, J. R.

T. Takatsuji, B. F. Oreb, D. I. Farrant, J. R. Tyrer, “Simultaneous measurement of three orthogonal components of displacement by electronic speckle-pattern interferometry and the Fourier transform method,” Appl. Opt. 36, 1438–1445 (1997).
[CrossRef] [PubMed]

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J. N. Petzing, D. Kerr, J. R. Tryrer, Department of Mechanical Engineering, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK;D. I. Farrant, B. F. Oreb, Telecommunications and Industrial Physics, CSIRO, Bradfield Road, West Lindfield, NSW 2070, Australia; G. H. Kaufmann, Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Rosario, Bv. 27 de Febrero 210 bis, 2000 Rosario, República Argentina, “The development of pulsed electronic speckle pattern interferometer design for transient vibration analysis” (personal communication, May1997).

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Figures (2)

Fig. 1
Fig. 1

Diagram of the experimental setup used to generate carrier fringes in double-pulsed-subtraction TV holography: M1–M6, mirrors; BC1–BC3, beam combiners; BS, beam splitter; L, positive lens; NL1, NL2, negative lenses; ZL, zoom lens; FO, fiber optic; PC, polarization controller; TS, translation stage; CCD, charge-coupled-device camera.

Fig. 2
Fig. 2

Propagation of impact-induced bending waves in a metal plate: (a)–(c) double-pulsed-subtraction TV holography correlation fringe patterns; (d)–(f) corresponding phase maps, deformation plus carrier; (g)–(i) three-dimensional plots of the out-of-plane component of the transient deformation. Delays between the piezotranslator driving signal and the second laser pulse are 27 μs (a, d, g), 32 μs (b, e, h), and 37 μs (c, f, i).

Equations (12)

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i 1 x ,   y = i obj x ,   y + i ref x ,   y + 2 i obj x ,   y i ref x ,   y 1 / 2 cos   ψ x ,   y ,
i 2 x ,   y = i obj x ,   y + i ref x ,   y + 2 × i obj x ,   y i ref x ,   y 1 / 2 cos ψ x ,   y + 2 π u c x + ϕ x ,   y + ϕ x ,   y ,
| i 1 x ,   y - i 2 x ,   y | = 4 i obj x ,   y i ref x ,   y 1 / 2 sin ψ x ,   y + 2 π u c x + ϕ x ,   y 2 × sin 2 π u c x + ϕ x ,   y 2 .
| i 1 x ,   y - i 2 x ,   y | 8 π i obj x ,   y i ref x ,   y 1 / 2 - 16 3 π i obj x ,   y i ref x ,   y 1 / 2 × cos 2 π u c x + ϕ x ,   y ,
8 π i obj x ,   y i ref x ,   y 1 / 2 , 16 3 π i obj x ,   y i ref x ,   y 1 / 2
a x ,   y = 8 π i obj x ,   y i ref x ,   y 1 / 2 ,
c x ,   y = 8 3 π i obj x ,   y i ref x ,   y 1 / 2 exp j ϕ x ,   y
| i 1 x ,   y - i 2 x ,   y | A u ,   v - C u - u c ,   v - C * - u - u c ,   v ,
C u - u c ,   v = | i 1 x ,   y - i 2 x ,   y | W u ,   v ,
- 1 C u - u c ,   v = c x ,   y exp 2 π ju c x .
ϕ x ,   y + 2 π u c x = tan - 1 Im - 1 | i 1 x ,   y - i 2 x ,   y | W u ,   v Re - 1 | i 1 x ,   y - i 2 x ,   y | W u ,   v .
z x ,   y = λ 4 π   ϕ x ,   y ,

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