Fourier-transform ghost imaging (FGI) provides a feasible approach to realize high-resolution x-ray imaging of noncrystalline sample. However, the polychromatic characteristic of laboratory x-ray sources greatly reduces the image quality in tabletop FGI. In this paper, the theoretical model of polychromatic FGI is established, and it is found that the intensity correlation result is a superposition of the Fourier-transform patterns of a sample at different frequencies. A reconstruction method is proposed to retrieve the actual Fourier-transform pattern of samples by synthetizing a distortion matrix and solving corresponding matrix equation. High-quality Fourier-transform pattern of a sample is achieved by reconstruction in the experiment, and image of the sample is successfully recovered in spatial domain. This method is of great importance to x-ray FGI applications due to its potential for image quality enhancement and exposure time reduction.

中文翻译：

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多色光傅里叶变换鬼成像

傅里叶变换鬼成像 (FGI) 为实现非晶样品的高分辨率 X 射线成像提供了一种可行的方法。然而，实验室 X 射线源的多色特性大大降低了桌面 FGI 的图像质量。本文建立了多色FGI的理论模型，发现强度相关结果是一个样本在不同频率下的傅里叶变换模式的叠加。提出了一种重建方法，通过合成失真矩阵并求解相应的矩阵方程来检索样本的实际傅里叶变换模式。实验中通过重构实现了样本的高质量傅里叶变换模式，成功地在空间域恢复了样本的图像。