Mathematical Modeling of Radiation Transparencies in the Computational Implementation of the Dual Energy Method Based on the Analog Amplitude Analysis of Initial Signals

A mathematical model of radiation transparencies in the computational implementation of the dual energy method based on analog discrimination of the initial signals is presented. The generalized mathematical model of radiation transparencies in the analyzed implementation of the dual energy method is based on an analog separation of initial electrical signals from an X-ray detector by amplitude into low- and high-energy signals with subsequent counting of these signals. The analog separation of X-ray detector output signals by amplitude is carried out using a two-channel amplitude analyzer. The proposed model takes into account the maximum energy of X-ray photons, the energy threshold for dividing signals into low- and high-energy ones, materials and sizes of radiation-sensitive detector elements, and parameters of test objects. The model can be used to conduct research on the effect of noise caused by the quantum nature of X-ray radiation on the quality of identification of attenuating material, for example, by effective atomic number, in relation to the considered implementation of the dual energy method, as well as for the reasonable choice of parameters of the corresponding dual energy systems of digital radiography and X-ray computed tomography.