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.

中文翻译：

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基于波光理论和频域分析的多色光栅X射线成像系统的能见度

基于光栅的 X 射线相衬成像和 CT，适用于传统的多色 X 射线管，在未来同时显示材料和微观结构的多模态信息成像应用中显示出巨大的潜力。光栅系统的参数和性能可以通过波光仿真框架进行仿真，证明对于相干和非相干光栅系统的设计和优化都是可行的。然而，模拟涉及傅立叶变换的实空间逐点计算，并且没有参数关系的直接表达。在这项工作中，我们以解析的形式分析了模拟系统的傅立叶域特性和不同能量系统的可见性。