Abstract
A new method for the calculation of dose distributions is applied, in which the transverse dose profile of the photon pencil beam is represented by the sum of three Gaussian functions with different r.m.s. widths. Thereby it is possible to perform the convolutions needed for treatment planning by analytical calculation. The analytical results are here given for Co-60, 6 MV, 8 MV, 16 MV and 18 MV photon beams with rectangular cross section, modified by penumbra, central fluence depression, wedge filters or rectangular satellite shielding blocks. The calculated dose values never show deviations from experimental data exceeding 2 % of the dose maximum. This consistent analytical approach provides computer economy along with reliability and accuracy, and further applications will be studied.
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