OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 23, Iss. 8 — Apr. 15, 1998
  • pp: 573–575

Linear phase retrieval for wave-front sensing

Walter J. Wild  »View Author Affiliations


Optics Letters, Vol. 23, Issue 8, pp. 573-575 (1998)
http://dx.doi.org/10.1364/OL.23.000573


View Full Text Article

Acrobat PDF (280 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Phase retrieval from one or more intensity measurements is a potentially powerful and appealing technique for real-time adaptive-optics wave-front sensors. Under the assumption of small wave-front phase excursions, one is able to derive an exact solution to the inverse problem given three or more intensity measurements with known phase offsets. Applications include a high-order wave-front sensor to correct for residual aberrations in an adaptive-optics system in tandem with a low-resolution Hartmann–Shack wave-front sensor. The formula can also furnish mathematical insights into the full nonlinear phase-retrieval task.

© 1998 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.5070) Image processing : Phase retrieval

Citation
Walter J. Wild, "Linear phase retrieval for wave-front sensing," Opt. Lett. 23, 573-575 (1998)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-23-8-573


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. R. A. Gonsalves, Opt. Eng. 21, 829 (1982).
  2. T. I. Kuznetsova, Sov. Phys. Usp. 31, 364 (1988).
  3. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis (Cambridge U. Press, Cambridge, 1991).
  4. A. Graham, Kronecker Products and Matrix Calculus: With Applications (Wiley, New York, 1981).
  5. P. J. Davis, Circulant Matrices (Wiley, New York, 1979).
  6. E. Kibblewhite, Department of Astronomy and Astrophysics, University of Chicago, Chicago, Illinois 60637 (personal communication, December, 1997).
  7. K. Creath, Prog. Opt. 26, 349 (1988).
  8. W. Wild, E. Kibblewhite, and R. Vuilleumier, Opt. Lett. 20, 955 (1995).
  9. J. R. P. Angel, Nature (London) 368, 203 (1994).

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