title: Accuracy in clinical electron beam dose planning using pencil beam algorithms.
abstract: The accuracy of two different pencil beam models for electron beam dose planning is shown by comparisons with measured dose distributions. The investigation is restricted to two-dimensional geometries. In one model the multiple scattering of the electrons is considered by the small angle Gaussian approximation of Fermi and Eyges. In the other, the generalized Gaussian model, the large angle single scattering events are also considered. The parallel slab approximation is used in both models. The comparisons have been made for two different anatomical phantoms. One phantom was constructed to simulate a transversal cross-section through the chest wall and lung in radiotherapy of breast cancer. The other phantom was made to simulate the head at the level of the nose. The measurements in these phantoms were made with thermoluminescence dosimetry, LiF rods. The accuracy of the oblique incidence case was investigated in a homogenous water phantom. The results show that for oblique incidence and geometries where the semi-infinite slab approximation is reasonably good, the generalized Gaussian model is more accurate. Within and behind low density cavities, in the phantom, the Gaussian model often gives a better agreement to experimental data. This is shown to be due to mutually balancing errors from the semi-infinite slab approximation and the Gaussian approximation.
mesh_terms: D000465:Algorithms; D008954:Models, Biological; D011880:Radiotherapy Planning, Computer-Assisted; D011881:Radiotherapy, Computer-Assisted; D011882:Radiotherapy, High-Energy