A system of computer codes based on phase-space evolution is developed
and applied to low energy therapeutic electron beams. Monte Carlo (EG
S4) is used to pre-calculate the electron transport and dose depositio
n in a 0.5 cm width cubic voxel. Dose calculations at larger scales ar
e computed from the pre-calculated data using phase-space evolution. T
his approach has the theoretical accuracy of Monte Carlo with potentia
lly significant speed gains resulting from the pre-calculation. This s
tudy demonstrates the accuracy of this technique while providing a pre
liminary assessment of the calculation time. For a 4.3 MeV electron be
am in water with a 0.5 cm thick slab of either water (homogeneous), ai
r, or aluminum at 1 cm depth, we observe differences relative to Monte
Carlo of less than 3% along the central axis for a pencil-beam. For a
3.5 cmx3.5 cm field we observe a maximum difference on the central ax
is of 4% in the build-up region and less than 0.1 cm in the fall-off r
egion for all three phantoms. Calculation times are disappointing; how
ever, there is high potential for their reduction to values comparable
to or better than condensed history Monte Carlo while retaining clini
cally acceptable accuracy. (C) 1997 American Association of Physicists
in Medicine.