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Phase retrieval from speckle images.

Xavier Rondeau1, Eric Thiébaut, Michel Tallon

  • 1Université de Lyon, F-69000 Lyon, France. rondeau@obs.univ-lyon1.fr

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|October 4, 2007
PubMed
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This study introduces a novel phase retrieval algorithm for ground-based astronomy, overcoming limitations in strong turbulence. The method effectively retrieves phase information from single focused images, improving astronomical observations.

Area of Science:

  • Astronomy
  • Optical Physics
  • Image Processing

Background:

  • Phase retrieval from speckle images calibrates static aberrations and senses turbulent wavefronts in ground-based astronomy.
  • Increasing turbulence strength leads to numerous local minima and phase wrapping ambiguities in traditional phase retrieval.
  • Multifocal phase diversity has been explored to mitigate phase retrieval ambiguities.

Purpose of the Study:

  • To develop an effective algorithm for phase retrieval from a single focused image.
  • To overcome local minima and phase degeneracies in phase retrieval, especially under strong turbulence.
  • To significantly extend the achievable limit of D/r(0) for phase retrieval.

Main Methods:

  • Utilizes a global optimization strategy for phase retrieval.

Related Experiment Videos

  • Incorporates an automatically tuned smoothness prior to resolve ambiguities.
  • Employs consistent simulations to assess performance across various turbulence strengths and noise levels.

    • Main Results:

    • Successfully pushed the phase retrieval limit from D/r(0)=4 to D/r(0)=11, a significant improvement for strong turbulence.
    • Demonstrated effective performance with low photon counts (down to 1500 photons per image).
    • Investigated the benefits of temporal correlation for enhanced phase retrieval.

    Conclusions:

    • The proposed algorithm effectively addresses phase retrieval challenges in strong turbulence.
    • The advancement enables more accurate calibration and wavefront sensing in ground-based astronomical systems.
    • Further investigation into temporal correlations may offer additional performance gains.