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An improved ptychographical phase retrieval algorithm for diffractive imaging.

Andrew M Maiden1, John M Rodenburg

  • 1Department of Electrical and Electronic Engineering, University of Sheffield, UK. a.maiden@sheffield.ac.uk

Ultramicroscopy
|June 23, 2009
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Summary
This summary is machine-generated.

The ptychographical iterative engine (PIE) phase retrieval algorithm now works without needing an accurate illumination model. This advancement enhances its applicability in X-ray and optical imaging, offering faster convergence and noise robustness.

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Area of Science:

  • Coherent diffractive imaging
  • Phase retrieval algorithms
  • Computational microscopy

Background:

  • Ptychographical iterative engine (PIE) is a phase retrieval algorithm.
  • PIE uses overlapping diffraction patterns from a translated illumination function.
  • Existing PIE requires an accurate illumination model.

Purpose of the Study:

  • To extend the PIE algorithm.
  • To remove the requirement for an accurate illumination function model.
  • To improve the versatility of PIE for imaging applications.

Main Methods:

  • Modification of the PIE algorithm.
  • Development of a new PIE variant that does not require prior knowledge of the illumination function.
  • Testing the extended PIE with simulated and experimental data.

Main Results:

  • The extended PIE successfully retrieves phase information without an illumination model.
  • The algorithm demonstrates robustness to noise.
  • The extended PIE maintains fast convergence properties.

Conclusions:

  • The developed PIE extension broadens the applicability of ptychography.
  • This advancement simplifies experimental setup and data processing.
  • The method is suitable for various wavelengths, including X-ray and optical.