Analytical solutions to intensity calculation in scintillation detectors and their application to the scintillation flash coordinates reconstruction
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 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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.