Physics

Mathematics

Maximum likelihood

Ptychography

Algorithm

Optics

Statistics

Mathematical optimization

Estimator

Diffraction

Solver

Computer science

Least-squares function approximation

Optics Express

Although ptychography does not require a precise knowledge of the illumination wavefront, common implementations rely upon assumptions such as accurate knowledge of the scan positions and constant illumination.Limited validity of these assumptions results in deterioration of the reconstruction quality.We present a generalized ptychography method that optimizes the reconstruction along multiple directions.In our manuscript, we demonstrate that the additional flexibility not only helps to amend imprecisions of the ptychography model in a self-consistent way but additionally leads to faster convergence without a significant increase of the computational cost per iteration.

Iterative least-squares solver for generalized maximum-likelihood ptychography