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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 11 — May. 26, 2008
  • pp: 8190–8197

Small-phase retrieval with a single far-field image

Min Li, Xin-Yang Li, and Wen-Han Jiang  »View Author Affiliations


Optics Express, Vol. 16, Issue 11, pp. 8190-8197 (2008)
http://dx.doi.org/10.1364/OE.16.008190


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Abstract

A method to retrieve small-phase aberrations from a single far-field image is proposed. It is found that in a small-phase condition, the odd and even parts of a phase aberration can be obtained with a simple linear calculation method. The difference between a single measured image with aberration and a calibrated image with inherent aberration is used in the calculation process. It is proved that most of the inherent phase aberration of the imaging system must be of an even type, such as defocus, astigmatism, etc., to keep the method working. The results of numerical simulations on atmosphere-disturbed phase aberrations show that the proposed small-phase retrieval method works well when the RMS phase error is less than 1 rad. It is also shown that the method is valid in a noise condition when the SNR>100.

© 2008 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

History
Original Manuscript: January 3, 2008
Revised Manuscript: March 24, 2008
Manuscript Accepted: April 11, 2008
Published: May 20, 2008

Citation
Min Li, Xin-Yang Li, and Wen-Han Jiang, "Small-phase retrieval with a single far-field image," Opt. Express 16, 8190-8197 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-11-8190


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References

  1. J. R. Fienup, "Phase retrieval algorithms: a comparison," Appl. Eng. 21, 2758-2769 (1982).
  2. J. M. Wood, M. A. Fiddy, and R. E. Burge, "Phase retrieval using two intensity measurements in the complex plane," Opt. Lett. 6, 514-516 (1981). [CrossRef] [PubMed]
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  4. R. A. Gonsalves, "Phase retrieval from modulus data," J. Opt. Soc. Am. 66, 961-964 (1976). [CrossRef]
  5. B. Ellerbroek and D. Morrison, "Linear Methods in Phase Retrieval," Proc. SPIE 351, 90-95 (1983).
  6. R. A. Gonsalves, "Small-phase solution to the phase-retrieval problem," Opt. Lett. 26, 684-685 (2001). [CrossRef]
  7. N. Roddier, "Atmospheric wavefront simulation using Zernike polynomials," Opt. Eng. 29, 1174-1180 (1990). [CrossRef]

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