Flattening-filter-based empirical methods to parametrize the head scatter factor.

Parametrizing the collimator scatter factor, Sc (or head scatter factor), of a linear accelerator by the side of the equivalent square of the collimator setting at the isocenter does not accurately predict the change in Sc when the width and length of a rectangular field are exchanged. We have studied two methods based on measurements of square fields to predict Sc's of rectangular fields more accurately. The first method parametrizes Sc by the side of the equivalent square of the flattening filter region visible from the point of calculation. The Sc's of rectangular fields were predicted to an accuracy of 1% from measurements with square fields. The second method computes Sc of rectangular configurations by integrating radiation that can reach the point of calculation from a point source at the target and a second extended source at the flattering filter. The radial distribution of the extended source at the level of the flattering filter is computed from Sc of square fields measured at the isocenter. Effects of extended distance are modeled by separately performing inverse square law corrections for the two sources. This method also predicted the measured values to within 1% accuracy.