title: Fast one-dimensional wave-front propagation for x-ray differential phase-contrast imaging.
abstract: Numerical wave-optical simulations of X-ray differential phase-contrast imaging using grating interferometry require the oversampling of gratings and object structures in the range of few micrometers. Consequently, fields of view of few millimeters already use large amounts of a computer's main memory to store the propagating wave front, limiting the scope of the investigations to only small-scale problems. In this study, we apply an approximation to the Fresnel-Kirchhoff diffraction theory to overcome these restrictions by dividing the two-dimensional wave front up into 1D lines, which are processed separately. The approach enables simulations with samples of clinically relevant dimensions by significantly reducing the memory footprint and the execution time and, thus, allows the qualitative comparison of different setup configurations. We analyze advantages as well as limitations and present the simulation of a virtual mammography phantom of several centimeters of size.
authors.affiliation: Lehrstuhl für Biomedizinische Physik, Physik-Department & Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.
authors.forename: Johannes
authors.initials: J
authors.lastname: Wolf
authors.affiliation: Lehrstuhl für Biomedizinische Physik, Physik-Department & Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.
authors.forename: Andreas
authors.initials: A
authors.lastname: Malecki
authors.affiliation: GE Global Research Europe, Freisinger Landstrasse 50, 85748 Garching, Germany.
authors.forename: Jonathan
authors.initials: J
authors.lastname: Sperl
authors.affiliation: Lehrstuhl für Biomedizinische Physik, Physik-Department & Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.
authors.forename: Michael
authors.initials: M
authors.lastname: Chabior
authors.affiliation: Lehrstuhl für Biomedizinische Physik, Physik-Department & Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.
authors.forename: Markus
authors.initials: M
authors.lastname: Schüttler
authors.affiliation: GE Global Research Europe, Freisinger Landstrasse 50, 85748 Garching, Germany.
authors.forename: Dirk
authors.initials: D
authors.lastname: Bequé
authors.affiliation: GE Global Research Europe, Freisinger Landstrasse 50, 85748 Garching, Germany.
authors.forename: Cristina
authors.initials: C
authors.lastname: Cozzini
authors.affiliation: Lehrstuhl für Biomedizinische Physik, Physik-Department & Institut für Medizintechnik, Technische Universität München, 85748 Garching, Germany.
authors.forename: Franz
authors.initials: F
authors.lastname: Pfeiffer
keywords: (340.7440) X-ray imaging; (340.7450) X-ray interferometry