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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 16, Iss. 7 — Jul. 1, 1999
  • pp: 1831–1837

Phase retrieval for undersampled broadband images

J. R. Fienup  »View Author Affiliations


JOSA A, Vol. 16, Issue 7, pp. 1831-1837 (1999)
http://dx.doi.org/10.1364/JOSAA.16.001831


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Abstract

Phase-retrieval algorithms have been used for wave-front sensing to determine the aberrations of an optical system from system point-spread functions (blurred images of point sources). Previously, computationally efficient algorithms were developed and applied to data from the Hubble Space Telescope [Appl. Opt. 32, 1737 (1993); Appl. Opt. 32, 1747 (1993)], but those algorithms, which employ analytic expressions for the gradient of an error metric, required narrow-band light and adequately sampled images. Generalizations of those phase-retrieval algorithms, which accommodate broadband light, allow for undersampled images, permit fitting of multiple images simultaneously, and have a flexible description of the aberrations, are described in this study.

© 1999 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.0100) Image processing : Image processing
(100.5070) Image processing : Phase retrieval
(110.4980) Imaging systems : Partial coherence in imaging
(110.6770) Imaging systems : Telescopes
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(220.4840) Optical design and fabrication : Testing

History
Original Manuscript: December 3, 1998
Revised Manuscript: February 19, 1999
Manuscript Accepted: February 19, 1999
Published: July 1, 1999

Citation
J. R. Fienup, "Phase retrieval for undersampled broadband images," J. Opt. Soc. Am. A 16, 1831-1837 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-7-1831


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References

  1. Space Optics for Astrophysics and Earth and Planetary Remote Sensing, 1991, Vol. 19 of 1991 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1991).
  2. J. R. Fienup, “Phase-retrieval algorithms for a complicated optical system,” Appl. Opt. 32, 1737–1746 (1993). [CrossRef] [PubMed]
  3. J. R. Fienup, J. C. Marron, T. J. Schulz, J. H. Seldin, “Hubble Space Telescope characterized by using phase-retrieval algorithms,” Appl. Opt. 32, 1747–1768 (1993). [CrossRef] [PubMed]
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  8. R. A. Gonsalves, “Phase retrieval and diversity in adaptive optics,” Opt. Eng. 21, 829–832 (1982). [CrossRef]
  9. R. G. Paxman, J. R. Fienup, “Optical misalignment sensing and image reconstruction using phase diversity,” J. Opt. Soc. Am. A 5, 914–923 (1988). [CrossRef]
  10. J. R. Fienup, B. J. Thelen, R. G. Paxman, D. A. Carrara, “Comparison of phase diversity and curvature wavefront sensing,” in Adaptive Optical Systems Technologies, D. Bonaccini, R. K. Tyson, eds., Proc. SPIE3353, 930–940 (1998). [CrossRef]
  11. J. R. Fienup, “Phase retrieval for multiple undersampled polychromatic images,” in Signal Recovery and Synthesis, Vol. 11 of 1998 Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 41–43.
  12. J. R. Fienup, “White-light phase retrieval,” presented at the Annual Meeting of the Optical Society of America, Baltimore, Md., October 4–9, 1998.

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