"Zero-field" dose data for 60Co and other high-energy photon beams in water

Abstract

A procedure of separating the primary- and scatter-dose components in therapeutic photon beams is examined. It is based on the observation that the scatter-dose component is proportional to the variable z = rd/(r+d), where r and d are beam radius and depth in phantom, respectively. It is, therefore, possible to express an absorbed dose in the form of a linear equation D(r) = P+Nz, where at a fixed depth d, both primary dose P and coefficient N are constant. A method of linear extrapolation of an absorbed dose D(r) to "zero-field" size, i.e., r = 0, is utilized. Since Monte Carlo technique is capable of scoring separately the primary- and scatter-dose components, it is used to evaluate the accuracy of the linear extrapolation method within the range of 60Co-15-MV nominal photon energies. The results demonstrate that this method is sufficiently accurate to obtain the primary dose component in photon beams. For 60Co gamma radiation in water, tabulated sets of measured depth-dose data are analyzed by the linear extrapolation method to review "zero-field" dose values [percentage depth dose (PDD) and tissue-air ratio (TAR) tables of the British Journal of Radiology, Suppl. 17]. The "zero-field" PDD data are found to be accurate within limits of experimental uncertainties. Inconsistencies in the TAR table are illustrated and discussed. 60Co tables of relative doses, D(r,d)/P(dmax), including "zero-field" values for both fixed SSD and isocentric geometries, are generated. Dose calculation in irregular fields is considered. The linear extrapolation method is recommended as a standard procedure for separating primary dose from depth-dose data in high-energy photon beams.