AUTHOR=Zhu Xiaohua , Wu Chengpeng , Gao Hewei , Zhang Xi , Zhang Li TITLE=Visibility of Polychromatic Grating-Based X-Ray Imaging Systems Based on Wave-Optical Theories and Frequency Domain Analysis JOURNAL=Frontiers in Physics VOLUME=Volume 9 - 2021 YEAR=2021 URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.630337 DOI=10.3389/fphy.2021.630337 ISSN=2296-424X ABSTRACT=Grating-based X-ray phase-contrast imaging and CT, applicable with traditional polychromatic X-ray tubes, has shown great potential for future applications of imaging with multimodal information indicating material and microstructure simultaneously. The parameters and performance of the grating system could be simulated by a wave-optical simulation framework, proved feasible for design and optimization of both coherent and incoherent gratings systems. However, the simulation involves real-space point-wise calculation of Fourier transformation, and the direct expression of the relationship of the parameters was absent. In this work, we analyzed the Fourier domain characteristics of the simulated system and the presented visibility of the system of different energy in an analytical form. The derived direct expression which omitted the simulation process, was validated with results of both simulation and real experiments, and may help future design, optimization and study of the energy-resolved characteristics of the system.