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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 10 — Oct. 1, 2007
  • pp: 3354–3365

Phase retrieval from speckle images

Xavier Rondeau, Eric Thiébaut, Michel Tallon, and Renaud Foy  »View Author Affiliations

JOSA A, Vol. 24, Issue 10, pp. 3354-3365 (2007)

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In ground-based astronomy, the inverse problem of phase retrieval from speckle images is a means to calibrate static aberrations for correction by active optics. It can also be used to sense turbulent wavefronts. However, the number of local minima drastically increases with the turbulence strength, mainly because of phase wrapping ambiguities. Multifocal phase diversity has been considered to overcome some ambiguities of the phase retrieval problem. We propose an effective algorithm for phase retrieval from a single focused image. Our algorithm makes use of a global optimization strategy and an automatically tuned smoothness prior to overcome local minima and phase degeneracies. We push the limit of D r 0 = 4 achieved by Irwan and Lane [ J. Opt. Soc. Am. A. 15, 2302 (1998 )] up to D r 0 = 11 , which is a major improvement owing to the drastic increase in the problem complexity. We estimate the performances of our approach from consistent simulations for different turbulence strengths and noise levels (down to 1500 photons per image). We also investigate the benefit of temporal correlation.

© 2007 Optical Society of America

OCIS Codes
(010.7350) Atmospheric and oceanic optics : Wave-front sensing
(100.0100) Image processing : Image processing
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

Original Manuscript: April 27, 2007
Manuscript Accepted: July 9, 2007
Published: September 24, 2007

Xavier Rondeau, Eric Thiébaut, Michel Tallon, and Renaud Foy, "Phase retrieval from speckle images," J. Opt. Soc. Am. A 24, 3354-3365 (2007)

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