A fast numerical algorithm for electron mean energy calculation in radiation therapy

Steve B. Jiang, Zheng Ming Luo, Todd Pawlicki, Komanduri M. Ayyangar

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A numerical algorithm for calculating the mean energy of radiotherapy electron beams has been developed. This algorithm is fast and accurate which makes it suitable for routine clinical use. First, a Gaussian distribution of the electron energy spectrum is derived from the linear Boltzmann equation. Based on this Gaussian spectrum, and after introducing a correction to the CSDA mean energy, a recursive-iterative algorithm for the mean energy calculation is developed. The multiple-scattering correction is taken into account using Yang's pathlength distribution theory. Numerical results of the present algorithm are compared with the results obtained through Monte Carlo simulation as well as Harder's formula. Good agreement with Monte Carlo simulation is achieved. Also the new algorithm is much more accurate than the commonly used empirical formula of Harder.

Original languageEnglish (US)
Pages (from-to)487-491
Number of pages5
JournalComputers in Biology and Medicine
Issue number6
StatePublished - Nov 1997


  • Electron beam
  • Gaussian spectrum
  • Mean energy
  • Multiple- scattering
  • Radiation therapy

ASJC Scopus subject areas

  • Health Informatics
  • Computer Science Applications


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