Open AccessFast one-dimensional wave-front propagation for x-ray differential phase-contrast imaging
Author(s) -
Johannes Wolf,
Andreas Malecki,
Jonathan I. Sperl,
Michael Chabior,
Markus Schüttler,
D. Bequé,
C. Cozzini,
Franz Pfeiffer
Publication year - 2014
Publication title -
biomedical optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.362
H-Index - 86
ISSN - 2156-7085
DOI - 10.1364/boe.5.003739
Subject(s) - wavefront , optics , fresnel zone , diffraction , computer science , phase retrieval , memory footprint , fresnel diffraction , talbot effect , fresnel number , grating , ray tracing (physics) , physics , oversampling , imaging phantom , phase contrast imaging , bandwidth (computing) , fourier transform , telecommunications , quantum mechanics , operating system , phase contrast microscopy
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.