OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 20, Iss. 4 — Apr. 1, 2003
  • pp: 753–756

On apparent counterexamples to phase dominance

R. P. Millane and W. H. Hsiao  »View Author Affiliations

JOSA A, Vol. 20, Issue 4, pp. 753-756 (2003)

View Full Text Article

Enhanced HTML    Acrobat PDF (321 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Phase dominance refers to the observation that the phase of the Fourier transform of an image carries more information than does the amplitude. We show that apparent counterexamples to phase dominance are not in fact counterexamples since the phase functions used are not independent of the true phase function. Phase dominance appears to be a general phenomenon.

© 2003 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.5090) Image processing : Phase-only filters
(350.5030) Other areas of optics : Phase

Original Manuscript: July 3, 2002
Revised Manuscript: November 11, 2002
Manuscript Accepted: November 11, 2002
Published: April 1, 2003

R. P. Millane and W. H. Hsiao, "On apparent counterexamples to phase dominance," J. Opt. Soc. Am. A 20, 753-756 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. G. N. Ramachandran, R Srinivasan, Fourier Methods in Crystallography (Wiley, New York, 1970), pp. 60–71.
  2. T. S. Huang, J. W. Burnett, A. G. Deczky, “The importance of phase in image processing filters,” IEEE Trans. Acoust. Speech Signal Process. ASSP-23, 529–542 (1975). [CrossRef]
  3. W. A. Pearlman, R. M. Gray, “Source coding of the discrete Fourier transform,” IEEE Trans. Inf. Theory IT-24, 683–692 (1978). [CrossRef]
  4. A. V. Oppenheim, J. S. Lim, “The importance of phase in signals,” Proc. IEEE 69, 529–541 (1981). [CrossRef]
  5. L. N. Piotrowski, F. W. Campbell, “A demonstration of the visual importance and flexibility of spatial-frequency amplitude and phase,” Perception 11, 337–346 (1982). [CrossRef] [PubMed]
  6. R. P. Millane, “Phase retrieval in crystallography and optics,” J. Opt. Soc. Am. A 7, 394–411 (1990). [CrossRef]
  7. A. W. Lohmann, D. Mendlovic, G. Shabtay, “Significance of phase and amplitude in the Fourier domain,” J. Opt. Soc. Am. A 14, 2901–2904 (1997). [CrossRef]
  8. M. H. Hayes, “The reconstruction of a multidimensional sequence from the phase or magnitude of its Fourier transform,” IEEE Trans. Acoust. Speech Signal Process. ASSP-30, 140–154 (1982). [CrossRef]
  9. J. R. Fienup, “Phase retrieval algorithms: a comparison,” Appl. Opt. 21, 2758–2769 (1982). [CrossRef] [PubMed]

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

OSA is a member of CrossRef.

CrossCheck Deposited