Abstract

Phase retrieval from experimental (laboratory) data has been successfully demonstrated. A diffuse object was coherently illuminated and Fourier intensity data were collected by a charge-coupled device detector and a video digitizer. By using the data and an a priori triangular image support constraint, an iterative Fourier-transform algorithm was used to estimate the phase of the Fourier transform of the object. The reconstructed image compares favorably with a conventional image with the same spatial-frequency bandwidth.

© 1988 Optical Society of America

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References

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  1. H. A. Ferwerda, in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, New York, 1978), Chap. 2.
  2. J. R. Fienup, Opt. Lett. 3, 27 (1978).
    [CrossRef] [PubMed]
  3. J. R. Fienup, Appl. Opt. 21, 2758 (1982).
    [CrossRef] [PubMed]
  4. J. R. Fienup, C. C. Wackerman, J. Opt. Soc. Am. A 3, 1897 (1986).
    [CrossRef]
  5. J. R. Fienup, J. Opt. Soc. Am. A 4, 118 (1987).
    [CrossRef]
  6. G. B. Feldkamp, J. R. Fienup, Proc. Soc. Photo-Opt. Instrum. Eng. 231, 84 (1980).
  7. J. N. Cederquist, C. C. Wackerman, J. Opt. Soc. Am. A 4, 1788 (1987).
    [CrossRef]

1987 (2)

J. R. Fienup, J. Opt. Soc. Am. A 4, 118 (1987).
[CrossRef]

J. N. Cederquist, C. C. Wackerman, J. Opt. Soc. Am. A 4, 1788 (1987).
[CrossRef]

1986 (1)

J. R. Fienup, C. C. Wackerman, J. Opt. Soc. Am. A 3, 1897 (1986).
[CrossRef]

1982 (1)

J. R. Fienup, Appl. Opt. 21, 2758 (1982).
[CrossRef] [PubMed]

1980 (1)

G. B. Feldkamp, J. R. Fienup, Proc. Soc. Photo-Opt. Instrum. Eng. 231, 84 (1980).

1978 (1)

J. R. Fienup, Opt. Lett. 3, 27 (1978).
[CrossRef] [PubMed]

Cederquist, J. N.

J. N. Cederquist, C. C. Wackerman, J. Opt. Soc. Am. A 4, 1788 (1987).
[CrossRef]

Feldkamp, G. B.

G. B. Feldkamp, J. R. Fienup, Proc. Soc. Photo-Opt. Instrum. Eng. 231, 84 (1980).

Ferwerda, H. A.

H. A. Ferwerda, in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, New York, 1978), Chap. 2.

Fienup, J. R.

J. R. Fienup, J. Opt. Soc. Am. A 4, 118 (1987).
[CrossRef]

J. R. Fienup, C. C. Wackerman, J. Opt. Soc. Am. A 3, 1897 (1986).
[CrossRef]

J. R. Fienup, Appl. Opt. 21, 2758 (1982).
[CrossRef] [PubMed]

G. B. Feldkamp, J. R. Fienup, Proc. Soc. Photo-Opt. Instrum. Eng. 231, 84 (1980).

J. R. Fienup, Opt. Lett. 3, 27 (1978).
[CrossRef] [PubMed]

Wackerman, C. C.

J. N. Cederquist, C. C. Wackerman, J. Opt. Soc. Am. A 4, 1788 (1987).
[CrossRef]

J. R. Fienup, C. C. Wackerman, J. Opt. Soc. Am. A 3, 1897 (1986).
[CrossRef]

Appl. Opt. (1)

J. R. Fienup, Appl. Opt. 21, 2758 (1982).
[CrossRef] [PubMed]

J. Opt. Soc. Am. A (3)

J. R. Fienup, C. C. Wackerman, J. Opt. Soc. Am. A 3, 1897 (1986).
[CrossRef]

J. R. Fienup, J. Opt. Soc. Am. A 4, 118 (1987).
[CrossRef]

J. N. Cederquist, C. C. Wackerman, J. Opt. Soc. Am. A 4, 1788 (1987).
[CrossRef]

Opt. Lett. (1)

J. R. Fienup, Opt. Lett. 3, 27 (1978).
[CrossRef] [PubMed]

Proc. Soc. Photo-Opt. Instrum. Eng. (1)

G. B. Feldkamp, J. R. Fienup, Proc. Soc. Photo-Opt. Instrum. Eng. 231, 84 (1980).

Other (1)

H. A. Ferwerda, in Inverse Source Problems in Optics, H. P. Baltes, ed. (Springer-Verlag, New York, 1978), Chap. 2.

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Figures (3)

Fig. 1
Fig. 1

Experimental optical system.

Fig. 2
Fig. 2

(a) Incoherent image of test object. (b) Coherent Fourier intensity data.

Fig. 3
Fig. 3

(a) Intensity of coherent image reconstructed by phase retrieval. (b) Intensity of conventional coherent image.

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