Composite energy deposition kernels for focused point monodirectional photon beams

A 3D volume overlap algorithm has been developed for converting energy deposition kernels between arbitrary 2D and 3D irradiation geometries. The kernels can be used as convolution kernels in inverse radiation therapy planning and as accurate descriptions of the dose distributions for clinically important beam geometries. The new method of dose calculation combining Monte Carlo and analytical methods has introduced an improved accuracy in dose calculation on the fractional per cent level. The comparisons are also made for a wide range of photon spectra and irradiation geometries from narrow point monodirectional pencil beams to finite uniform beams, 4pi steradians isotropically converging beams and divergent beams from isotropic point sources. It is seen that the photon scatter penumbra is highest at low photon energies whereas the secondary electron penumbra is widest at high photon energies, making low energy beams more interesting for small targets and high energy beams most useful for large deep-seated targets.