On a numerical approach of the pencil beam model

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Abstract
The most common method of dose calculation in the planning of electron beam therapy is the pencil beam model. A numerical method is described which is based on the Fermi-Eyges theory, but which also uses the true dependence of the linear angular scattering power on the depth and lateral position. The spatial distribution of the electrons in a plane perpendicular to the central axis is not calculated from pencil beams that start at a given level above the medium, but from the angular distributions of the electrons in each pixel of the plane just above it. For slab geometry the presented method will give the same result as the method used by K.R. Hogstrom et al. (1981). For non-slab geometry the numerical method is expected to yield a better result.

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