Analytical solutions to intensity calculation in scintillation detectors and their application to the scintillation flash coordinates reconstruction

TL;DR

This paper derives an analytical method for calculating scintillation detector signals, enabling faster reconstruction of scintillation flash coordinates compared to traditional Monte Carlo simulations.

Contribution

The authors present an analytical solution for energy outcome calculation in scintillation detectors with continuous scintillators, improving speed and accuracy for flash coordinate reconstruction.

Findings

Analytical solution closely matches Monte Carlo results

Reduced computational time for coordinate reconstruction

Applicable to detectors with specular reflective faces

Abstract

Detectors with continuous scintillator and matrix of photomultipliers attached are widely used in modern particle physics, and various medical tomographs. There are two common ways to calculate the coordinates of the scintillation flash via photomultipliers energy outcome: Anger method and Monte Carlo simulations. In this article, we derive an analytical solution for the computation of the energy outcome from several photomultipliers built into the bottom face of the scintillation camera with a continuous scintillator shaped as a rectangular parallelepiped. The lateral faces of the scintillation camera are considered specular reflectors with reflective indexes $\sim 1$ or $0$. The analytical solution is used as a reference point for the scintillation flash coordinates reconstruction. The achieved results are similar to those the Monte Carlo simulation provides but require less computational time.