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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 29, Iss. 9 — Sep. 1, 2012
  • pp: 1847–1859

Phase retrieval with random phase illumination

Albert Fannjiang and Wenjing Liao  »View Author Affiliations

JOSA A, Vol. 29, Issue 9, pp. 1847-1859 (2012)

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This paper presents a detailed numerical study on the performance of the standard phasing algorithms with random phase illumination (RPI). Phasing with high resolution RPI and the oversampling ratio σ=4 determines a unique phasing solution up to a global phase factor. Under this condition, the standard phasing algorithms converge rapidly to the true solution without stagnation. Excellent approximation is achieved after a small number of iterations, not just with high resolution but also low resolution RPI in the presence of additive as well multiplicative noises. It is shown that RPI with σ=2 is sufficient for phasing complex-valued images under a sector condition and σ=1 for phasing nonnegative images. The error-reduction algorithm with RPI is proved to converge to the true solution under proper conditions.

© 2012 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(170.1630) Medical optics and biotechnology : Coded aperture imaging
(340.7430) X-ray optics : X-ray coded apertures

ToC Category:
Image Processing

Original Manuscript: June 7, 2012
Manuscript Accepted: July 3, 2012
Published: August 15, 2012

Albert Fannjiang and Wenjing Liao, "Phase retrieval with random phase illumination," J. Opt. Soc. Am. A 29, 1847-1859 (2012)

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