Abstract

A printed fringe pattern is imaged by a CCD camera, whereas a phase object is placed in the ray path for imaging. The ray deflections distort the image of the pattern and are measured by evaluation of the image with the Fourier transform method.

© 1999 Optical Society of America

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References

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  1. O. Kafri, “Noncoherent method for mapping phase objects,” Opt. Lett. 5, 555–557 (1980).
    [CrossRef] [PubMed]
  2. R. E. Peale, P. L. Summers, “Zebra schlieren optics for leak detection,” Appl. Opt. 35, 4518–4521 (1996).
    [CrossRef] [PubMed]
  3. 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 (1981).
    [CrossRef]
  4. M. Küchel, Aalen University for Applied Science, Beethovenstrasse 1, D-73430 Aalen, Germany (personal communication, 25January1999).
  5. C. Roddier, F. Roddier, “Interferogram analysis using Fourier transform techniques,” Appl. Opt. 26, 1668–1673 (1987).
    [CrossRef] [PubMed]
  6. D. J. Bone, H.-A. Bacher, R. J. Sandeman, “Fringe-pattern analysis using a 2-D Fourier transform,” Appl. Opt. 25, 1653–1660 (1986).
    [CrossRef] [PubMed]

1996

1987

1986

1981

1980

Bacher, H.-A.

Bone, D. J.

Ina, H.

Kafri, O.

Kobayashi, S.

Küchel, M.

M. Küchel, Aalen University for Applied Science, Beethovenstrasse 1, D-73430 Aalen, Germany (personal communication, 25January1999).

Peale, R. E.

Roddier, C.

Roddier, F.

Sandeman, R. J.

Summers, P. L.

Takeda, M.

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Figures (4)

Fig. 1
Fig. 1

Sketch of the experimental arrangement viewed from above.

Fig. 2
Fig. 2

Image of the fringe pattern with hand in place.

Fig. 3
Fig. 3

Gray-level map of the differences of the phase values of the image with schlieren and the reference image. The arrows indicate the line displayed in Fig. 4.

Fig. 4
Fig. 4

Unwrapped phase values of the line indicated in Fig. 3 in the image with the hand in place (dotted curve), in the reference image (dashed curve), and the difference thereof (solid curve).

Equations (1)

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Δϕ2π αd1p

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