Method for determining the modulation transfer function of X-ray fluorescence mapping system

A method for determining the modulation transfer function (MTF) in direct X-ray fluorescence mapping (XFM) system is reported. With a standard container filled with homogeneous gold nanoparticle (GNP) solution (1% by weight), sharp edges are made and utilized to acquire the data for edge spread function (ESF). Through necessary data processing such as signal extraction, attenuation correction and curve fitting and proper calculations of differentiating and Fourier transform, MTF can be determined. Influencing factors of MTF determination in XFM system are thoroughly discussed in theory and validated by experiments. The results show that different mapping steps do not noticeably affect the measured MTF, while MTF is greatly degraded as the collimator-to-object distance increases. The theoretical analyses and experimental validations of the MTF determination are useful and helpful for imaging performance evaluation, system design and optimal operations. The presented methodology could be applied in other XRF based systems with modified imaging trajectories.