Abstract
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 language | English (US) |
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Pages (from-to) | 477-482 |
Number of pages | 6 |
Journal | Radiation Physics and Chemistry |
Volume | 53 |
Issue number | 5 |
DOIs | |
State | Published - Nov 1998 |
Keywords
- Electron transport
- Energy straggling
- Fermi-Eyges theory
ASJC Scopus subject areas
- Radiation