Radially restricted linear energy transfer for high-energy protons: a new analytical approach

Radially restricted linear energy transfer (LET) is a basic physical parameter relevant to radiation biology and radiation protection. In this report a convenient method is presented for the analytical computation of this quantity without the need for complicated simulation. The method uses the energy-restricted LET L delta, as recently redefined in a 1993 ICRU draft document and supplements it by a relatively simple term that represents the energy of fast delta rays lost within distance r from the track core. The method provides a better fit than other models and is valid over the entire range of radial distance from track center to the maximum radial distance traveled by the most energetic secondary electrons. Lr computed by this approach differs only a few percent from the values obtained from explicit Monte Carlo simulations. The concept applies equally to heavy ions and to electrons.