The main topic of this thesis has been to establish a theoretical model for the interaction of charged particles (heavy ions) with fully and partially ionized plasmas as well as to compare our model with several experimental data. This dissertation is focused on the variation of the heavy-ion beam mean charge state along the plasma length and, how this variation from a given initial charge state influences the stopping power of the target electrons.
In this work, the free electron stopping power has been estimated using the Random Phase Approximation (RPA) dielectric function, whereas the bound electron stopping has been calculated from an easy formula that relates three fundamental atomic properties: mean excitation energy, kinetic electron energy and the average of the square electron radius. Combining both stopping contributions, it is possible to analyze the interaction of charged particles with partially and fully ionized plasmas.
In the case of heavy ion beams, in which this thesis focuses, the projectile charge state is a critical parameter in target electrons stopping as the stopping power depends almost quadratically on the projectile charge. In order to estimate the heavy ion charge state, projectile ionization and recombination cross sections have been taken into account, which relies in a versatile and powerful theoretical model. Moreover simple analytical models, based on semi-empirical formulas, to predict the equilibrium charge state of the heavy ion are also discussed. In addition the so-called heavy-ion scaling rule has been introduced. This rule is based on the Brandt-Kitagawa model and it could be useful for the calculation of the electron stopping of fast heavy ions interacting with laser-generated plasmas.
Finally, based on our theoretical results discussed along this dissertation, we conclude that our theoretical model could be very valuable for interpretation of energy loss experiments of heavy ions interacting with plasmas.
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