A fast sampling algorithm for energy-angle distributions of bremsstrahlung photon for radiotherapy applications

A fast sampling algorithm for energy-angle distributions of bremsstrahlung photon for radiotherapy purposes is presented. Efficient and accurate sampling methods have been developed based on the most accurate and reliable differential cross-sections for sampling the energy-angle distributions of bre...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Korean Physical Society 2023-05, Vol.82 (10), p.954-962
Main Authors: Wasaye, Muhammad Abdul, Yu, Tao, Xie, Jinsen, Chen, Zhenping, Ni, Zining
Format: Article
Language:English
Subjects:
Algorithms
Angular distribution
Bremsstrahlung
Cross-sections
Electrons
Energy
Energy distribution
Mathematical and Computational Physics
Original Paper - Particles and Nuclei
Particle and Nuclear Physics
Photons
Physics
Physics and Astronomy
Radiation therapy
Sampling methods
Theoretical
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:A fast sampling algorithm for energy-angle distributions of bremsstrahlung photon for radiotherapy purposes is presented. Efficient and accurate sampling methods have been developed based on the most accurate and reliable differential cross-sections for sampling the energy-angle distributions of bremsstrahlung photons by incident electron of energy 1 MeV–20 MeV. Scaled energy-loss numerical differential cross-sections produced by Seltzer and Berger are used to sample the photon energy. A new sampling method based on a double differential cross-section of Koch and Motz has been developed which uses a simplified expression to sample the bremsstrahlung photon angular distribution. The average efficiency of sampling photon energy distribution algorithm is about 85% for electrons with kinetic energies 5 MeV–20 MeV and below to 75% for electrons of kinetic energies 1 MeV–5 MeV. Computation time comparisons have been evaluated with the previous algorithm to sample one photon energy. The inverse transform sampling procedure is implemented to sample the photon angular distribution; hence, every sampled value of the angular distribution is accepted. Therefore, the proposed algorithm is very fast and efficient for radiotherapy purposes. The sampling methods’ accuracy is checked by comparing the Monte Carlo sampled distributions with the theoretical expressions.
ISSN:0374-4884
1976-8524
DOI:10.1007/s40042-023-00750-9