Abstract

In temporal speckle-pattern interferometry deformation information is extracted by a Fourier transform technique from the speckle pattern that is recorded over a period of time as the object is deformed. A limitation of the experimental arrangements reported to date is that the direction of the deformation cannot be determined. We propose removing this limitation by using the heterodyne principle. Some experimental results that were obtained by use of a rotating half-wave-plate frequency shifter are presented.

© 2000 Optical Society of America

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References

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  1. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Speckle interferometry with temporal phase evaluation for measuring large object deformation,” Appl. Opt. 37, 2608–2614 (1998).
    [CrossRef]
  2. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
    [CrossRef]
  3. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
    [CrossRef]
  4. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Shape measurement by use of temporal Fourier transformation in dual-beam illumination speckle interferometry,” Appl. Opt. 37, 3385–3390 (1998).
    [CrossRef]
  5. C. Joenathan, P. Haible, H. J. Tiziani, “Speckle interferometry with temporal phase evaluation: influence of decorrelation, speckle size, and nonlinearity of the camera,” Appl. Opt. 38, 1169–1178 (1999).
    [CrossRef]
  6. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani have prepared a paper entitled “Nondestructive testing using temporal phase evaluation in speckle interferometry,” for submission to Exp. Mech.
  7. M. Suematsu, M. Takeda, “Wavelength-shift interferometry for distance measurements using the Fourier transform technique for fringe analysis,” Appl. Opt. 30, 4046–4055 (1991).
    [CrossRef] [PubMed]
  8. 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]
  9. G. E. Sommargren, “Up–down frequency shifter for optical heterodyne interferometry,” J. Opt. Soc. Am. 65, 960–961 (1975).
    [CrossRef]
  10. M. P. Kothiyal, C. Delisle, “Optical frequency shifter for heterodyne interferometry using counterrotating waveplates,” Opt. Lett. 9, 319–321 (1984).
    [CrossRef] [PubMed]

1999 (1)

1998 (4)

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

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Shape measurement by use of temporal Fourier transformation in dual-beam illumination speckle interferometry,” Appl. Opt. 37, 3385–3390 (1998).
[CrossRef]

1991 (1)

1984 (1)

1982 (1)

1975 (1)

Delisle, C.

Franze, B.

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Shape measurement by use of temporal Fourier transformation in dual-beam illumination speckle interferometry,” Appl. Opt. 37, 3385–3390 (1998).
[CrossRef]

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

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani have prepared a paper entitled “Nondestructive testing using temporal phase evaluation in speckle interferometry,” for submission to Exp. Mech.

Haible, P.

C. Joenathan, P. Haible, H. J. Tiziani, “Speckle interferometry with temporal phase evaluation: influence of decorrelation, speckle size, and nonlinearity of the camera,” Appl. Opt. 38, 1169–1178 (1999).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
[CrossRef]

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

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Shape measurement by use of temporal Fourier transformation in dual-beam illumination speckle interferometry,” Appl. Opt. 37, 3385–3390 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani have prepared a paper entitled “Nondestructive testing using temporal phase evaluation in speckle interferometry,” for submission to Exp. Mech.

Ina, H.

Joenathan, C.

C. Joenathan, P. Haible, H. J. Tiziani, “Speckle interferometry with temporal phase evaluation: influence of decorrelation, speckle size, and nonlinearity of the camera,” Appl. Opt. 38, 1169–1178 (1999).
[CrossRef]

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

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Shape measurement by use of temporal Fourier transformation in dual-beam illumination speckle interferometry,” Appl. Opt. 37, 3385–3390 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani have prepared a paper entitled “Nondestructive testing using temporal phase evaluation in speckle interferometry,” for submission to Exp. Mech.

Kobayashi, S.

Kothiyal, M. P.

Sommargren, G. E.

Suematsu, M.

Takeda, M.

Tiziani, H. J.

C. Joenathan, P. Haible, H. J. Tiziani, “Speckle interferometry with temporal phase evaluation: influence of decorrelation, speckle size, and nonlinearity of the camera,” Appl. Opt. 38, 1169–1178 (1999).
[CrossRef]

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

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Shape measurement by use of temporal Fourier transformation in dual-beam illumination speckle interferometry,” Appl. Opt. 37, 3385–3390 (1998).
[CrossRef]

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani have prepared a paper entitled “Nondestructive testing using temporal phase evaluation in speckle interferometry,” for submission to Exp. Mech.

Appl. Opt. (4)

J. Mod. Opt. (1)

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Large in-plane displacement measurement in dual beam speckle interferometry using temporal phase measurement,” J. Mod. Opt. 45, 1975–1984 (1998).
[CrossRef]

J. Opt. Soc. Am. (2)

Opt. Eng. (1)

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Novel temporal Fourier transform speckle pattern shearing interferometer,” Opt. Eng. 37, 1790–1795 (1998).
[CrossRef]

Opt. Lett. (1)

Other (1)

C. Joenathan, B. Franze, P. Haible, H. J. Tiziani have prepared a paper entitled “Nondestructive testing using temporal phase evaluation in speckle interferometry,” for submission to Exp. Mech.

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Figures (7)

Fig. 1
Fig. 1

Schematic of the experimental arrangement for heterodyne speckle interferometry for out-of-plane displacement measurement by use of a rotating half-wave-plate frequency shifter.

Fig. 2
Fig. 2

Slice of one horizontal line of pixels from each frame that is stacked together taken without the rotation of the half-wave plate. Only 300 of 1024 frames are shown.

Fig. 3
Fig. 3

Modulation frequency obtained by Fourier transformation of the signal at each pixel shown in Fig. 2.

Fig. 4
Fig. 4

Same as Fig. 2 but taken with rotation of the half-wave plate.

Fig. 5
Fig. 5

Modulation frequency obtained by Fourier transformation of the signal at each pixel shown in Fig. 4.

Fig. 6
Fig. 6

Three-dimensional displacement plot without heterodyne frequency.

Fig. 7
Fig. 7

Three-dimensional displacement plot with heterodyne frequency.

Equations (4)

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E¯=A2exp iω+2ω0texp iω-2ω0t,
Ix, y, t=Iox, y1+V cosΦ0x, y+4ω0t,
Ix, y, t=Iox, y1+V cosΦ0x, y+4ω0t+4πΔzx, y, tλ,
fmedx, y=2Δzx, y, tλt.

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