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The angular deviation commonly represented by the scattering angle generallyserves to provide the characteristic discrimination in the muon scatteringtomography. The regular procedure to determine the scattering angle comprisesthe collection of exactly four hit locations in four detector layers amongwhich two top detector layers are utilized to construct the first vector,whereas the second vector is built by using two bottom detector layers.Although this procedure acts to classify the target volumes in the tomographicsystems based on the muon scattering, the scattering angle obtained through theusual methodology founded on four detector layers is dubious for not yieldingany information about the position of target volume. Nonetheless, the same setof four detector layers also imparts the possibility of splitting thescattering angle into two separate angles by creating a triangular correlationin such a way that the scattering angle is referred to an exterior angle,whereas the separate angles are considered the interior opposite angles thatare not neighboring this exterior angle. In this study, we first show that acombination of three detector layers out of four fulfills the calculation ofthe interior opposite angles. Then, by employing the GEANT4 simulations overour tomographic configuration composed of three plastic scintillators in eithersection, we demonstrate that the interior opposite angles differ towards thevertical spatial variation, while the exterior angle approximately remainsconstant, thereby implying a beneficial feature to be used for the imagereconstruction purposes.

Unveiling triangular correlation of angular deviation in muon scattering tomography by means of GEANT4 simulations