Open AccessMaximum likelihood reconstruction for grating-based X-ray microscopy
Author(s) -
Andreas Wolf,
Max Schuster,
Veronika Ludwig,
G. Anton,
Stefan Funk
Publication year - 2020
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.380940
Subject(s) - optics , grating , deconvolution , wavefront , iterative reconstruction , microscopy , physics , interference (communication) , interferometry , interference microscopy , phase contrast imaging , phase (matter) , phase retrieval , point spread function , computer science , fourier transform , computer vision , phase contrast microscopy , computer network , channel (broadcasting) , quantum mechanics
The combination of grating-based phase-contrast imaging with X-ray microscopy can result in a complicated image formation. Generally, transverse shifts of the interference fringes are nonlinearly dependent on phase differences of the measured wave front. We present an iterative reconstruction scheme based on a regularized maximum likelihood cost function that fully takes this dependency into account. The scheme is validated by numerical simulations. It is particularly advantageous at low photon numbers and when the premises for deconvolution-based reconstructions are not met. Our reconstruction scheme hence enables a broader applicability of X-ray grating interferometry in imaging and wave front sensing.