Efficient Procedures for Solving Integral Equations Used during Monte Carlo Photon-Electron Transport Calculations

摘要

The energy at which electrons and positrons radiate bremsstrahlung photons and their average energy loss when traveling a known distance in a material are derived in Monte Carlo transport studies by solving integral equations. Iterative procedures which use Newton's Method for finding the zero of a function are applied here to efficiently calculate these zeroes. The answers are generally calculated to a high accuracy after four or five iterations. Example calculations are provided and the results are discussed. (Author)