Inverse Multislice Ptychography by Layer-wise Optimisation and Sparse Matrix Decomposition

Authors:
  • ABArya Bangun
    Arya Bangun
  • OMOleh Melnyk
    Oleh Melnyk
  • BMBenjamin März
    Benjamin März
  • BDBenedikt Diederichs
    Benedikt Diederichs
  • ACAlexander Clausen
    Alexander Clausen
  • DWDieter Weber
    Dieter Weber
  • FFFrank Filbir
    Frank Filbir
  • KMKnut Müller-Caspary
    Knut Müller-Caspary
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Abstract
We propose algorithms based on an optimisation method for inverse multislice ptychography in, e.g. electron microscopy. The multislice method is widely used to model the interaction between relativistic electrons and thick specimens. Since only the intensity of diffraction patterns can be recorded, the challenge in applying inverse multislice ptychography is to uniquely reconstruct the electrostatic potential in each slice up to some ambiguities. In this conceptual study, we show that a unique separation of atomic layers for simulated data is possible when considering a low acceleration voltage. We also introduce an adaptation for estimating the illuminating probe. For the sake of practical application, we finally present slice reconstructions using experimental 4D scanning transmission electron microscopy (STEM) data.
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