OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 28, Iss. 10 — May. 15, 2003
  • pp: 801–803

Phase retrieval for high-numerical-aperture optical systems

Bridget M. Hanser, Mats G. L. Gustafsson, David A. Agard, and John W. Sedat  »View Author Affiliations

Optics Letters, Vol. 28, Issue 10, pp. 801-803 (2003)

View Full Text Article

Acrobat PDF (1260 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We describe a phase retrieval approach for intensity point-spread functions of high-numerical-aperture optical systems such as light microscopes. The method calculates a generalized pupil function defined on a spherical shell, using measured images at several defocus levels. The resultant pupil functions reproduce measured point-source images significantly better than does an ideal imaging model. Availability of pupil function information will facilitate new approaches to aberration correction in such systems.

© 2003 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.0100) Image processing : Image processing
(180.0180) Microscopy : Microscopy

Bridget M. Hanser, Mats G. L. Gustafsson, David A. Agard, and John W. Sedat, "Phase retrieval for high-numerical-aperture optical systems," Opt. Lett. 28, 801-803 (2003)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. R. A. Gonsalves, Opt. Eng. 21, 829 (1982).
  2. R. G. Lyon, J. E. Dorband, and J. M. Hollis, Appl. Opt. 36, 1752 (1997).
  3. J. H. Seldin and J. R. Fienup, J. Opt. Soc. Am. A 7, 428 (1990).
  4. R. G. Paxman and J. R. Fienup, J. Opt. Soc. Am. A 5, 914 (1988).
  5. B. A. Scalettar, J. R. Swedlow, J. W. Sedat, and D. A. Agard, J. Microsc. 182, 50 (1996).
  6. Z. Kam, B. Hanser, M. G. L. Gustafsson, D. A. Agard, and J. W. Sedat, Proc. Natl. Acad. Sci. USA 98, 3790 (2001).
  7. M. A. A. Neil, M. J. Booth, and T. Wilson, Opt. Lett. 23, 1849 (1998).
  8. J. R. Fienup, Appl. Opt. 21, 2758 (1982).
  9. D. R. Luke, J. V. Burke, and R. G. Lyon, SIAM Rev. 44, 169 (2002).
  10. J. R. Fienup, J. Opt. Soc. Am. A 16, 1831 (1999).
  11. Y. Hiraoka, J. W. Sedat, and D. A. Agard, Biophys. J. 57, 325–333 (1990).
  12. D. A. Agard, Y. Hiraoka, P. Shaw, and J. W. Sedat, Methods Cell Biol. 30, 44 (1989).
  13. C. W. McCutchen, J. Opt. Soc. Am. 54, 240 (1964).
  14. J. Philip, J. Mod. Opt. 46, 1031 (1999).
  15. R. W. Gerchberg and W. O. Saxton, Optik (Stuttgart) 35, 237 (1972).
  16. C. J. R. Sheppard and P. Torok, J. Microsc. 185, 366 (1997).

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