Abstract

Holographic interferometry enables the measurement of object deformations due to stress induced by pressure, heat, or applied force and the measurement of surface shape. Real-time double-exposure holographic interferometry and phase-measurement interferometry have been combined to measure both static changes in objects and their shape. However, the number of detector points available has limited the number of fringes which can be measured. This paper shows results of measurements using a Videk Megaplus camera with 1320 × 1035 detector elements to enable measurements with high fringe densities. Results of measurement of object deformation and object shape show wavefronts with fringe densities up to 500 fringes per diameter can be measured with an rms repeatability of λ/50.

© 1989 Optical Society of America

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References

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  1. P. Hariharan, B. F. Oreb, N. Brown, “A Digital Phase-Measurement System for Real-Time Holographic Interferometry,” Opt. Commun. 41, 393–396 (1982).
    [CrossRef]
  2. P. Hariharan, B. F. Oreb, N. Brown, “Real-Time Holographic Interferometry: a Microcomputer System for the Measurement of Vector Displacements,” Appl. Opt. 22, 876–880 (1983).
    [CrossRef] [PubMed]
  3. P. Hariharan, “Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 632–638 (1985).
  4. P. Hariharan, B. F. Oreb, “Stroboscopic Holographic Interferometry: Application of Digital Techniques,” Opt. Commun. 59, 83–86 (1986).
    [CrossRef]
  5. J. C. Wyant, B. F. Oreb, P. Hariharan, “Testing Aspherics Using Two-Wavelength Holography: Use of Digital Techniques,” Appl. Opt. 23, 4020–4023 (1984).
    [CrossRef] [PubMed]
  6. P. Hariharan, B. F. Oreb, “Two-Index Holographic Contouring: Application of Digital Techniques,” Opt. Commun. 51, 142–144 (1984).
    [CrossRef]
  7. R. Dändliker, R. Thalmann, J. F. Willemin, “Fringe Interpolation by Two-Reference-Beam Holographic Interferometry: Reducing Sensitivity to Hologram Misalignment,” Opt. Commun. 42, 301–303 (1982).
    [CrossRef]
  8. R. Dändliker, R. Thalmann, “Heterodyne and Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 824–831 (1985).
  9. M. Kujawinska, D. W. Robinson, “Multichannel Phase-Stepped Holographic Interferometry,” Appl. Opt. 27, 312–320 (1988).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  14. R. Thalmann, R. Dändliker, “Automated Evaluation of 3-D Displacement and Strain by Quasi-Heterodyne Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 599, 141–148 (1985).
  15. S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
    [CrossRef]
  16. D. W. Robinson, “Holographic and Speckle Interferometry in the UK,” Proc. Soc. Photo-Opt. Instrum. Eng. 814, 330–337 (1987).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  19. K. Creath, “Phase-Measurement Interferometry,” in Progress in Optics, Vol. 25, E. Wolf, Ed. (North-Holland, Amsterdam, 1988), pp. 349–393.
    [CrossRef]
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  21. B. P. Hildebrand, K. A. Haines, “Multiple-Wavelength and Multiple-Source Holography Applied to Contour Generation,” J. Opt. Soc. Am. 57, 155–162 (1967).
    [CrossRef]

1988

1987

1986

T. Kreis, “Digital Holographic Interference-Phase Measurement Using the Fourier-Transform Method,” J. Opt. Soc. Am. A 3, 847–855 (1986).
[CrossRef]

P. Hariharan, B. F. Oreb, “Stroboscopic Holographic Interferometry: Application of Digital Techniques,” Opt. Commun. 59, 83–86 (1986).
[CrossRef]

1985

P. Hariharan, “Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 632–638 (1985).

R. Dändliker, R. Thalmann, “Heterodyne and Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 824–831 (1985).

R. Thalmann, R. Dändliker, “Automated Evaluation of 3-D Displacement and Strain by Quasi-Heterodyne Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 599, 141–148 (1985).

S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
[CrossRef]

1984

P. Hariharan, B. F. Oreb, “Two-Index Holographic Contouring: Application of Digital Techniques,” Opt. Commun. 51, 142–144 (1984).
[CrossRef]

J. C. Wyant, B. F. Oreb, P. Hariharan, “Testing Aspherics Using Two-Wavelength Holography: Use of Digital Techniques,” Appl. Opt. 23, 4020–4023 (1984).
[CrossRef] [PubMed]

1983

1982

R. Dändliker, R. Thalmann, J. F. Willemin, “Fringe Interpolation by Two-Reference-Beam Holographic Interferometry: Reducing Sensitivity to Hologram Misalignment,” Opt. Commun. 42, 301–303 (1982).
[CrossRef]

P. Hariharan, B. F. Oreb, N. Brown, “A Digital Phase-Measurement System for Real-Time Holographic Interferometry,” Opt. Commun. 41, 393–396 (1982).
[CrossRef]

1981

S. Nakadate, N. Magome, T. Honda, J. Tsujiuchi, “Hybrid Holographic Interferometer for Measuring Three-Dimensional Deformations,” Opt. Eng. 20, 246–252 (1981).
[CrossRef]

1976

1975

1967

Brown, N.

P. Hariharan, B. F. Oreb, N. Brown, “Real-Time Holographic Interferometry: a Microcomputer System for the Measurement of Vector Displacements,” Appl. Opt. 22, 876–880 (1983).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, N. Brown, “A Digital Phase-Measurement System for Real-Time Holographic Interferometry,” Opt. Commun. 41, 393–396 (1982).
[CrossRef]

Creath, K.

K. Creath, “Phase-Measurement Interferometry,” in Progress in Optics, Vol. 25, E. Wolf, Ed. (North-Holland, Amsterdam, 1988), pp. 349–393.
[CrossRef]

Dändliker, R.

R. Dändliker, R. Thalmann, “Heterodyne and Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 824–831 (1985).

R. Thalmann, R. Dändliker, “Automated Evaluation of 3-D Displacement and Strain by Quasi-Heterodyne Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 599, 141–148 (1985).

R. Dändliker, R. Thalmann, J. F. Willemin, “Fringe Interpolation by Two-Reference-Beam Holographic Interferometry: Reducing Sensitivity to Hologram Misalignment,” Opt. Commun. 42, 301–303 (1982).
[CrossRef]

Eiju, T.

Greivenkamp, J. E.

Haines, K. A.

Hariharan, P.

P. Hariharan, B. F. Oreb, T. Eiju, “Digital Phase-Shifting Interferometry: a Simple Error-Compensating Phase Calculation Algorithm,” Appl. Opt. 26, 2504–2506 (1987).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, “Stroboscopic Holographic Interferometry: Application of Digital Techniques,” Opt. Commun. 59, 83–86 (1986).
[CrossRef]

P. Hariharan, “Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 632–638 (1985).

J. C. Wyant, B. F. Oreb, P. Hariharan, “Testing Aspherics Using Two-Wavelength Holography: Use of Digital Techniques,” Appl. Opt. 23, 4020–4023 (1984).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, “Two-Index Holographic Contouring: Application of Digital Techniques,” Opt. Commun. 51, 142–144 (1984).
[CrossRef]

P. Hariharan, B. F. Oreb, N. Brown, “Real-Time Holographic Interferometry: a Microcomputer System for the Measurement of Vector Displacements,” Appl. Opt. 22, 876–880 (1983).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, N. Brown, “A Digital Phase-Measurement System for Real-Time Holographic Interferometry,” Opt. Commun. 41, 393–396 (1982).
[CrossRef]

Hildebrand, B. P.

Honda, T.

S. Nakadate, N. Magome, T. Honda, J. Tsujiuchi, “Hybrid Holographic Interferometer for Measuring Three-Dimensional Deformations,” Opt. Eng. 20, 246–252 (1981).
[CrossRef]

Iwata, K.

S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
[CrossRef]

Kakunai, S.

S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
[CrossRef]

Kreis, T.

Kujawinska, M.

Magome, N.

S. Nakadate, N. Magome, T. Honda, J. Tsujiuchi, “Hybrid Holographic Interferometer for Measuring Three-Dimensional Deformations,” Opt. Eng. 20, 246–252 (1981).
[CrossRef]

Nagata, R.

S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
[CrossRef]

Nakadate, S.

S. Nakadate, N. Magome, T. Honda, J. Tsujiuchi, “Hybrid Holographic Interferometer for Measuring Three-Dimensional Deformations,” Opt. Eng. 20, 246–252 (1981).
[CrossRef]

Oreb, B. F.

P. Hariharan, B. F. Oreb, T. Eiju, “Digital Phase-Shifting Interferometry: a Simple Error-Compensating Phase Calculation Algorithm,” Appl. Opt. 26, 2504–2506 (1987).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, “Stroboscopic Holographic Interferometry: Application of Digital Techniques,” Opt. Commun. 59, 83–86 (1986).
[CrossRef]

P. Hariharan, B. F. Oreb, “Two-Index Holographic Contouring: Application of Digital Techniques,” Opt. Commun. 51, 142–144 (1984).
[CrossRef]

J. C. Wyant, B. F. Oreb, P. Hariharan, “Testing Aspherics Using Two-Wavelength Holography: Use of Digital Techniques,” Appl. Opt. 23, 4020–4023 (1984).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, N. Brown, “Real-Time Holographic Interferometry: a Microcomputer System for the Measurement of Vector Displacements,” Appl. Opt. 22, 876–880 (1983).
[CrossRef] [PubMed]

P. Hariharan, B. F. Oreb, N. Brown, “A Digital Phase-Measurement System for Real-Time Holographic Interferometry,” Opt. Commun. 41, 393–396 (1982).
[CrossRef]

Pryputniewicz, R.

Robinson, D. W.

M. Kujawinska, D. W. Robinson, “Multichannel Phase-Stepped Holographic Interferometry,” Appl. Opt. 27, 312–320 (1988).
[CrossRef] [PubMed]

D. W. Robinson, “Holographic and Speckle Interferometry in the UK,” Proc. Soc. Photo-Opt. Instrum. Eng. 814, 330–337 (1987).

Sekiguchi, H.

S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
[CrossRef]

Stetson, K. A.

Thalmann, R.

R. Thalmann, R. Dändliker, “Automated Evaluation of 3-D Displacement and Strain by Quasi-Heterodyne Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 599, 141–148 (1985).

R. Dändliker, R. Thalmann, “Heterodyne and Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 824–831 (1985).

R. Dändliker, R. Thalmann, J. F. Willemin, “Fringe Interpolation by Two-Reference-Beam Holographic Interferometry: Reducing Sensitivity to Hologram Misalignment,” Opt. Commun. 42, 301–303 (1982).
[CrossRef]

Tsujiuchi, J.

S. Nakadate, N. Magome, T. Honda, J. Tsujiuchi, “Hybrid Holographic Interferometer for Measuring Three-Dimensional Deformations,” Opt. Eng. 20, 246–252 (1981).
[CrossRef]

Vest, C. M.

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

Willemin, J. F.

R. Dändliker, R. Thalmann, J. F. Willemin, “Fringe Interpolation by Two-Reference-Beam Holographic Interferometry: Reducing Sensitivity to Hologram Misalignment,” Opt. Commun. 42, 301–303 (1982).
[CrossRef]

Wyant, J. C.

Appl. Opt.

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

Opt. Commun.

P. Hariharan, B. F. Oreb, “Stroboscopic Holographic Interferometry: Application of Digital Techniques,” Opt. Commun. 59, 83–86 (1986).
[CrossRef]

P. Hariharan, B. F. Oreb, “Two-Index Holographic Contouring: Application of Digital Techniques,” Opt. Commun. 51, 142–144 (1984).
[CrossRef]

R. Dändliker, R. Thalmann, J. F. Willemin, “Fringe Interpolation by Two-Reference-Beam Holographic Interferometry: Reducing Sensitivity to Hologram Misalignment,” Opt. Commun. 42, 301–303 (1982).
[CrossRef]

P. Hariharan, B. F. Oreb, N. Brown, “A Digital Phase-Measurement System for Real-Time Holographic Interferometry,” Opt. Commun. 41, 393–396 (1982).
[CrossRef]

Opt. Eng.

P. Hariharan, “Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 632–638 (1985).

S. Nakadate, N. Magome, T. Honda, J. Tsujiuchi, “Hybrid Holographic Interferometer for Measuring Three-Dimensional Deformations,” Opt. Eng. 20, 246–252 (1981).
[CrossRef]

R. Dändliker, R. Thalmann, “Heterodyne and Quasi-Heterodyne Holographic Interferometry,” Opt. Eng. 24, 824–831 (1985).

Opt. Laser Eng.

S. Kakunai, K. Iwata, R. Nagata, H. Sekiguchi, “Measurement of Three Components of a Displacement Vector Using Heterodyne Holographic Interferometry,” Opt. Laser Eng. 6, 213–223 (1985).
[CrossRef]

Proc. Soc. Photo-Opt. Instrum. Eng.

D. W. Robinson, “Holographic and Speckle Interferometry in the UK,” Proc. Soc. Photo-Opt. Instrum. Eng. 814, 330–337 (1987).

R. Thalmann, R. Dändliker, “Automated Evaluation of 3-D Displacement and Strain by Quasi-Heterodyne Holographic Interferometry,” Proc. Soc. Photo-Opt. Instrum. Eng. 599, 141–148 (1985).

Other

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

K. Creath, “Phase-Measurement Interferometry,” in Progress in Optics, Vol. 25, E. Wolf, Ed. (North-Holland, Amsterdam, 1988), pp. 349–393.
[CrossRef]

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Figures (10)

Fig. 1
Fig. 1

Optical setup for real-time holographic interferometry.

Fig. 2
Fig. 2

Object geometry for displacement measurement.

Fig. 3
Fig. 3

Object geometry for two-angle contour measurement.

Fig. 4
Fig. 4

Experimental setup for displacement measurement.

Fig. 5
Fig. 5

Experimental setup for two-angle contour measurement.

Fig. 6
Fig. 6

Displacement of metal plate bolted on all four corners: (a) interference fringe contours; (b) isometric plot of calculated displacement with P–V = 7.3 μm.

Fig. 7
Fig. 7

Displacement of a cast part: (a) contour plot of displacement with contour interval of 0.18 μm; (b) isometric plot with P–V = 1.38 μm.

Fig. 8
Fig. 8

Contour of a knob: (a) interference fringe contours; (b) contour plot of surface with tilt removed and contour interval of 2 mm.

Fig. 9
Fig. 9

Isometric plot of repeatability of measurement in Fig. 8.

Fig. 10
Fig. 10

Contour of a foot casting: (a) contour plot with tilt removed and contour interval of 1 mm; (b) isometric plot of (a).

Equations (9)

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

I i ( x , y ) = I 0 ( x , y ) { 1 + γ cos [ ϕ ( x , y ) + α i ] } ,
ϕ ( x , y ) = tan 1 { 2 [ I 2 ( x , y ) I 4 ( x , y ) ] 2 I 3 ( x , y ) I 5 ( x , y ) I 1 ( x , y ) } ,
γ = 1 2 I 0 [ 2 ( I 2 I 4 ) ] 2 + [ 2 I 3 I 5 I 1 ] 2 ,
D ( x , y ) = ϕ ( x , y ) λ 2 π [ 2 cos ( θ / 2 ) ] ,
C = λ 2 sin ( θ + β ) sin Δ θ ,
C = λ 2 cos θ sin Δ θ ( tan θ + tan β ) .
C = λ 2 sin θ sin Δ θ .
C = λ 2 sin Δ θ .
H ( x , y ) = ϕ ( x , y ) C 2 π = ϕ ( x , y ) λ effective 4 π ,

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