Energy Deposition in Proton Fast Ignition and HEDP Plasmas Using an eRPA-LDA Electronic Stopping Model, Including Inflight and Secondary Fusion Reactions

We report on a new wide range electronic stopping power model that extends the random phase approximation (RPA) dielectric response formalism to include a strong collision correction based on the binary collision theory for k>kmax, a static local field correction, an electron binding energy correction, and the Barkas effect. This eRPA model, when used with the local density approximation (LDA) calculated in an average atom model using the Flexible Atomic Code (FAC), produces proton stopping powers in cold targets that are in close agreement with experiments across the periodic table (PSTAR database), including high-Z elements, such as gold. We also report on validation of ion stopping powers in warm dense plasmas compared with published data. Our model is valid for classical and degenerate plasmas, and we report on its use for proton and ion transport in HEDP plasmas. We also describe calculations of energy deposition for proton fast ignition that include the impact of inflight beam fusion reactions and secondary reactions from fuel ions elastically scattered by beam proton (both Rutherford and nuclear elastic). This effect is particularly significant for proton fast ignition of p-¹¹B fuels.