Fourier-transform ghost imaging with polychromatic light

摘要

Fourier-transform ghost imaging (FGI) provides a feasible approach to realize high-resolution xray 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.