Abstract
X-ray grating interferometry (XGI) can provide access to unresolved sub-pixel information by utilizing the so-called dark-field or visibility reduction contrast. A recently developed variant of conventional XGI named dual-phase grating interferometer, based only on phase-shifting structures, has allowed for straightforward micro-structural investigations over multiple length scales with conventional X-ray sources. Nonetheless, the theoretical framework of the image formation for the dark-field signal has not been fully developed yet, thus hindering the quantification of unresolved micro-structures. In this work, we expand the current theoretical formulation of dual-phase grating interferometers taking into account polychromatic sources and beam hardening effects. We propose a model that considers the contribution of beam hardening to the visibility reduction and accounts for it. Finally, the method is applied to previously acquired and new experimental data showing that discrimination between actual micro-structures and beam hardening effects can be achieved.
References
Jan 22, 2008·Nature Materials·F PfeifferC David
Aug 8, 2005·Optics Express·Timm WeitkampEric Ziegler
Aug 20, 2010·Optics Express·W YashiroA Momose
Apr 28, 2011·Medical Physics·Michael ChabiorFranz Pfeiffer
Aug 13, 2011·Applied Optics·Susanna K LynchHan Harold Wen
Apr 5, 2013·Physics in Medicine and Biology·Thilo MichelAndrea Zang
Oct 22, 2013·Investigative Radiology·Nik HauserMarco Stampanoni
Nov 29, 2014·Scientific Reports·M Strobl
Apr 16, 2015·Scientific Reports·Kai SchererFranz Pfeiffer
Sep 15, 2015·Optics Express·Wataru YashiroAtsushi Momose
Dec 2, 2015·Scientific Reports·Andre YaroshenkoFranz Pfeiffer
Oct 14, 2016·Scientific Reports·Spyridon GkoumasMarco Stampanoni
Oct 18, 2016·Nature Physics·Houxun MiaoHan Wen
Mar 18, 2017·Scientific Reports·Ralph P HartiChristian Grünzweig
Oct 19, 2017·Optics Express·Aimin YanHong Liu
Sep 7, 2018·Optics Express·Aimin YanHong Liu
Sep 28, 2018·PloS One·Konstantin WillerPeter B Noël
Nov 14, 2019·Nature Communications·Matias KagiasMarco Stampanoni
Feb 27, 2020·Nanoscale Horizons : the Home for Rapid Reports of Exceptional Significance in Nanoscience and Nanotechnolgy·Lucia RomanoMarco Stampanoni
Citations
Jun 2, 2021·Optics Letters·Yongshuai GeDong Liang
Jul 16, 2021·OSA Continuum·Aimin YanHong Liu
Jul 31, 2021·Optics Letters·Zhitian ShiMarco Stampanoni