Incorporation of the electron energy-loss straggling into the Fermi- Eyges equation

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

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


A modified Fermi-Eyges equation has been derived from the linear Boltzmann equation by including a term for describing electron energy-loss straggling. The solution has been obtained by the use of a generalized Eyges' method, yielding the electron energy distribution expressed with moments method in addition to Eyges' original solution. The first- and second-order approximations of the spectrum give the well-known continuous-slowing-down approximation (CSDA) and Gaussian distribution, respectively. Inclusion of the third-order moment in the spectrum yields the Vavilov distribution approximated with the Airy function. The higher order approximations can be evaluated numerically.

Original languageEnglish (US)
Pages (from-to)477-482
Number of pages6
JournalRadiation Physics and Chemistry
Issue number5
StatePublished - Nov 1998


  • Electron transport
  • Energy straggling
  • Fermi-Eyges theory

ASJC Scopus subject areas

  • Radiation


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