OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 71, Iss. 8 — Aug. 1, 1981
  • pp: 1026–1028

Ambiguity of phase retrieval for functions with disconnected support

T. R. Crimmins and J. R. Fienup  »View Author Affiliations

JOSA, Vol. 71, Issue 8, pp. 1026-1028 (1981)

View Full Text Article

Acrobat PDF (1579 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Questions are raised concerning the uniqueness of solutions to the phase-retrieval problem for functions with disconnected support. A counterexample is presented showing the importance of considering the flipping of infinite proper subsets of nonreal zeros.

© 1981 Optical Society of America

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

Sort:  Author  |  Year  |  Journal  |  Reset


  1. A. H. Greenaway, "Proposal for phase recovery from a single intensity distribution," Opt. Lett. 1, 10–12 (1977).
  2. R. H. T. Bates, "Fringe visibility intensities may uniquely define brightness distributions," Astron. Astrophys. 70, L27–L29 (1978).
  3. E. M. Hofstetter, "Construction of time-limited functions with specified autocorrelation functions," IEEE Trans. Inf. Theory IT-10, 119–126 (1964).
  4. A. Walther, "The question of phase retrieval in optics," Opt. Acta 10, 41–49 (1963).
  5. R. H. T. Bates et al., "Self-consistent deconvolution. I: Theory," Optik (Stuttgart) 44, 183–201 (1976).
  6. T. R. Crimmins and J. R. Fienup, "Phase retrieval for functions with disconnected support," in Appendix B of J. R. Fienup, "High resolution imaging of space objects," interim scientific report to Air Force Office of Scientific Research, ERIM Report 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).

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited