Evaluating the Transfer of Information in Phase Retrieval STEM Techniques

Iterative Ptychography with a Segmented Detector

Since iterative ptychography is a flexible model-based inversion technique, we can adapt it to work on segmented detector measurements by applying a detector-binning step at the end of the forward model and similarly adapting the update step Zhang et al., 2025. This gives us the freedom to define arbitrary detector geometries while still enjoying the flexibility of iterative ptychography, such as correcting for partial coherence using a mixed-state probe decomposition.

Iterative Segmented Ptychography CTF

Similar to the case with a pixelated detector, the iterative nature of the technique precludes an analytical CTF expression and we proceed numerically using the white noise object introduced in Iterative Ptychography with a Pixelated Detector.

Figure 11.1 plots the numerical iterative ptychography CTF for various detector geometries.

Source:Segmented Iterative Ptychography
Effect of various detector geometries and iterations on the CTF for iterative ptychography.

Figure 11.1:Effect of various detector geometries and iterations on the CTF for iterative ptychography.

We note the following:

  • The detector geometry is reflected in the anisotropic 2D CTF at early iterations, but this is increasingly ameliorated as the reconstruction progresses.
  • A small number of annular and radial segments performs poorly in the presence of probe aberrations, as fine features in the measured intensities are not properly resolved with the large effective pixel sizes.
    • This can be somewhat remedied using more annular and radial segments.
References
  1. Zhang, X., Chen, Z., Shao, Y.-T., Ray, A., Jiang, Y., & Muller, D. (2025). Super-Resolution Ptychography with Small Segmented Detectors. Microscopy and Microanalysis, 31(1). 10.1093/mam/ozae134