Effect of Temperature and Density Profiles on the Stopping Power of Heavy Ions in IFE Targets

A simplified model for the calculation of heavy ion ranges on IFE target materials with temperature and density gradients is presented. Such model allows for the calculation of rough estimates of the range for a variety of ablator states. The model assumes ion populations in thermal equilibrium, equilibrium charge state, and neglects any recombination effects. Dependence of all relevant parameters with temperature is determined, and a shortening of the range is observed as target temperature is increased.