Abstract

It is shown that the phase-retrieval problem almost always has a solution unique among functions with disconnected supports satisfying a certain common separation condition.

© 1983 Optical Society of America

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References

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  1. E. M. Hofstetter, "Construction of time-limited functions with specified autocorrelation functions," IEEE Trans. Inf. Theory IT-10, 119–126 (1964).
  2. A. Walther, "The question of phase retrieval in optics," Opt. Acta 10, 41–49 (1963).
  3. A. H. Greenaway, "Proposal for phase recovery from a single intensity distribution," Opt. Lett. 1, 10–12 (1977).
  4. R. H. T. Bates, "Fringe visibility intensities may uniquely define brightness distributions," Astron. Astrophys. 70, L27–L29 (1978).
  5. T. R. Crimmins and J. R. Fienup, "Ambiguity of phase retrieval for functions with disconnected support," J. Opt. Soc. Am. 71, 1026–1028 (1981).
  6. T. R. Crimmins and J. R. Fienup, "Phase retrieval for functions with disconnected support," in App. B of J. R. Fienup, "High resolution imaging of space objects," interim scientific report to U.S. Air Force Office of Scientific Research, ERIM Rep. No. 145400-7-P (Environmental Research Institute of Michigan, Ann Arbor, Mich., March 1981).
  7. Yu. M. Bruck and L. G. Sodin, "On the ambiguity of the image reconstruction problem," Opt. Commun. 30, 304–308 (1979).
  8. J. R. Fienup, "Space object imaging through the turbulent atmo- sphere," Opt. Eng. 18, 529–534 (1979).

1981 (1)

1979 (2)

Yu. M. Bruck and L. G. Sodin, "On the ambiguity of the image reconstruction problem," Opt. Commun. 30, 304–308 (1979).

J. R. Fienup, "Space object imaging through the turbulent atmo- sphere," Opt. Eng. 18, 529–534 (1979).

1978 (1)

R. H. T. Bates, "Fringe visibility intensities may uniquely define brightness distributions," Astron. Astrophys. 70, L27–L29 (1978).

1977 (1)

1964 (1)

E. M. Hofstetter, "Construction of time-limited functions with specified autocorrelation functions," IEEE Trans. Inf. Theory IT-10, 119–126 (1964).

1963 (1)

A. Walther, "The question of phase retrieval in optics," Opt. Acta 10, 41–49 (1963).

Bates, R. H. T.

R. H. T. Bates, "Fringe visibility intensities may uniquely define brightness distributions," Astron. Astrophys. 70, L27–L29 (1978).

Bruck, Yu. M.

Yu. M. Bruck and L. G. Sodin, "On the ambiguity of the image reconstruction problem," Opt. Commun. 30, 304–308 (1979).

Crimmins, T. R.

T. R. Crimmins and J. R. Fienup, "Ambiguity of phase retrieval for functions with disconnected support," J. Opt. Soc. Am. 71, 1026–1028 (1981).

T. R. Crimmins and J. R. Fienup, "Phase retrieval for functions with disconnected support," in App. B of J. R. Fienup, "High resolution imaging of space objects," interim scientific report to U.S. Air Force Office of Scientific Research, ERIM Rep. No. 145400-7-P (Environmental Research Institute of Michigan, Ann Arbor, Mich., March 1981).

Fienup, J. R.

T. R. Crimmins and J. R. Fienup, "Ambiguity of phase retrieval for functions with disconnected support," J. Opt. Soc. Am. 71, 1026–1028 (1981).

J. R. Fienup, "Space object imaging through the turbulent atmo- sphere," Opt. Eng. 18, 529–534 (1979).

T. R. Crimmins and J. R. Fienup, "Phase retrieval for functions with disconnected support," in App. B of J. R. Fienup, "High resolution imaging of space objects," interim scientific report to U.S. Air Force Office of Scientific Research, ERIM Rep. No. 145400-7-P (Environmental Research Institute of Michigan, Ann Arbor, Mich., March 1981).

Greenaway, A. H.

Hofstetter, E. M.

E. M. Hofstetter, "Construction of time-limited functions with specified autocorrelation functions," IEEE Trans. Inf. Theory IT-10, 119–126 (1964).

Sodin, L. G.

Yu. M. Bruck and L. G. Sodin, "On the ambiguity of the image reconstruction problem," Opt. Commun. 30, 304–308 (1979).

Walther, A.

A. Walther, "The question of phase retrieval in optics," Opt. Acta 10, 41–49 (1963).

Astron. Astrophys. (1)

R. H. T. Bates, "Fringe visibility intensities may uniquely define brightness distributions," Astron. Astrophys. 70, L27–L29 (1978).

IEEE Trans. Inf. Theory (1)

E. M. Hofstetter, "Construction of time-limited functions with specified autocorrelation functions," IEEE Trans. Inf. Theory IT-10, 119–126 (1964).

J. Opt. Soc. Am. (1)

Opt. Acta (1)

A. Walther, "The question of phase retrieval in optics," Opt. Acta 10, 41–49 (1963).

Opt. Commun. (1)

Yu. M. Bruck and L. G. Sodin, "On the ambiguity of the image reconstruction problem," Opt. Commun. 30, 304–308 (1979).

Opt. Eng. (1)

J. R. Fienup, "Space object imaging through the turbulent atmo- sphere," Opt. Eng. 18, 529–534 (1979).

Opt. Lett. (1)

Other (1)

T. R. Crimmins and J. R. Fienup, "Phase retrieval for functions with disconnected support," in App. B of J. R. Fienup, "High resolution imaging of space objects," interim scientific report to U.S. Air Force Office of Scientific Research, ERIM Rep. No. 145400-7-P (Environmental Research Institute of Michigan, Ann Arbor, Mich., March 1981).

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