  In the tomographic configurations based on the muon scattering, the angular
variation with respect to the kinetic energy indirectly brings forth the
ability to coarsely predict the kinetic energy by using the deflection angle
owing to the detector layers. Nevertheless, the angular deviation due to the
detector components is expected to be minuscule in addition to a relatively
high uncertainty in the case of the plastic scintillators. In the present
study, we contrast our current tomographic prototype, which consists of the
detector layers manufactured from polyvinyl toluene besides a detector accuracy
of 1 mrad, with an alternative hodoscope scheme containing stainless steel
layers by aiming to investigate the three-group energy structure. Initially, we
determine the average deflection angles together with the corresponding
standard deviations for our present setup as well as for the alternative scheme
by means of the GEANT4 simulations. In the second place, we express a brace of
misclassification probabilities founded on the standard deviations where the
first procedure assumes a linear finite approximation, whereas the latter
approach rests on a positively defined modified Gaussian distribution. Upon our
simulation results, we demonstrate that the introduced stainless steel layers
in the proposed hodoscope setup do not only serve to augment the average
deflection angles, but they also diminish the misclassification probabilities,
therewith reducing the classification uncertainty apart from an improved
detection performance.
