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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • 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)

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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

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

J. R. Fienup, "Phase retrieval for undersampled broadband images," J. Opt. Soc. Am. A 16, 1831-1837 (1999)

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