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Optics Letters

Optics Letters


  • Vol. 1, Iss. 1 — Jul. 1, 1977
  • pp: 10–12

Proposal for phase recovery from a single intensity distribution

A. H. Greenaway  »View Author Affiliations

Optics Letters, Vol. 1, Issue 1, pp. 10-12 (1977)

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A method is proposed for the recovery of phase information from a single intensity distribution. The proposal requires the use of a specially designed spatial filter and is analyzed for a one-dimensional case using the theory of entire functions. The only, and unlikely, ambiguity is detectable a posteriori.

© 1977 Optical Society of America

Original Manuscript: March 25, 1977
Published: July 1, 1977

A. H. Greenaway, "Proposal for phase recovery from a single intensity distribution," Opt. Lett. 1, 10-12 (1977)

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  1. E. N. Leith, J. Upatnieks, “Reconstructed Wavefronts and Communication Theory,” J. Opt. Soc. Am. 52, 1123 (1962). [CrossRef]
  2. A. Walther, “The question of phase retrieval in optics,” Opt. Acta 10, 41–49 (1963). [CrossRef]
  3. E. L. O’Neill, A. Walther, “The question of phase in image formation,” Opt. Acta 10, 33–40 (1963). [CrossRef]
  4. B. J. Hoenders, “On the solution of the phase retrieval problem,” J. Math. Phys. 16, 1719–1725 (1975). [CrossRef]
  5. R. E. Burge, M. A. Fiddy, A. H. Greenaway, G. Ross, “The phase problem,” Proc. R. Soc. London Ser. A 350, 191–212 (1976). [CrossRef]
  6. R. P. Boas, Entire Function (Academic Press, New York, 1954).
  7. E. C. Titchmarsh, “The zeros of certain integral functions,” Proc. London Math. Soc. 25, 283–302 (1926). [CrossRef]
  8. A. W. Lohmann, “Another approach to holography in the electron microscope,” Optik 41, 1–9 (1974).

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