A general formalism to include inelastic scatterings in the differential absorption method for hard x-ray spectroscopy

The differential absorption method developed in "A general formalism to include inelastic scatterings in the differential absorption method for hard x-ray spectroscopy" takes into account not only the usual absorption phenomenon of colliding photons on metallic samples, but also the effects of the secondary radiation that may be generated due to the interaction.

As it is detailed in the paper, the formulation includes a function (f) quantifying the change in energy that the outgoing photons have with respect to that of the incoming ones due to inelastic scattering within the plates. To provide a set of f-functions for potential users of this method, Monte Carlo calculations are available as Mendeley Data. The simulations of f were made considering incoming photons with energies ranging from 20 to 600 keV, and metallic plates of different densities and thicknesses. The Matlab/Octave script graph_f.m is available to manage the information. It plots the required f function by specifying the energy of the impinging photon and selecting the properties of the target from a list of available materials and thicknesses.

The formulation also includes the evaluation of Ψ, the signal registered by the detector due to a photon-plate interaction. This function depends on the energy of the colliding photon; the plate’s characteristics and the considered detector. Datasets (and figures) of Ψ-functions used for the HXR spectral measurement presented in the manuscript as application to real data, are also available as Mendeley Data.

《一种包含硬X射线光谱学中非弹性散射的微分吸收方法的通用公式的开发》中提出的微分吸收方法，不仅考虑了在金属样品上碰撞光子所发生的常规吸收现象，而且还考虑了由于相互作用可能产生的次级辐射效应。正如论文中所详细阐述的，该公式包含一个函数（f），用于量化出射光子相对于入射光子能量的变化，这种变化是由于板内非弹性散射引起的。为了向该方法潜在用户提供一套f函数，Mendeley数据中提供了Monte Carlo计算。f的模拟考虑了能量范围从20 keV到600 keV的入射光子，以及不同密度和厚度的金属板。用于管理信息的Matlab/Octave脚本graph_f.m可供使用，通过指定入射光子的能量并从可用材料及其厚度列表中选择目标属性，该脚本可以绘制所需的f函数。该公式还包括Ψ的评估，这是由于光子-板相互作用而由探测器记录的信号。Ψ函数的（以及图）数据集，用于在稿件中展示的HXR光谱测量应用，也作为Mendeley数据提供。