I. Introduction
As a novel X-ray imaging method, the Talbot-Lau grating interferometry enabled X-ray phase contrast imaging (XPCI) method [1] can simultaneously capture three unique object information from one set of acquired data: absorption, differential phase contrast (DPC), and dark-field (DF). Compared with the conventional absorption contrast, studies have found that the DPC signal could provide superior contrast performance for certain types of soft tissues and other low-density, low-Z materials [2], [3]. Besides, the DF signal is found to be particularly sensitive to certain fine structures such as micro-calcification inside breast tissue [4]–[6]. Due to these potential advantages, numerous research interests [7]–[12] have been attracted with the hope to translate such novel X-ray imaging method into biomedical and clinical applications. Despite of these potential advancements, however, the low radiation dose efficiency of the Talbot-Lau interferometer strongly impedes its wide applications. This is mainly due to the photon absorption on the analyzer grating. Usually, the analyzer grating blocks more than half of the photons that have already penetrated through the object. To overcome such difficulty, the imaging performance of a grating based XPCI system needs to be improved.