A collisional-radiative model for helium and its application to a discharge plasma

Mathematics

Scientific paper

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Collisional Plasmas, Gas Ionization, Helium Plasma, Mathematical Models, Plasma Jets, Population Inversion, Radiative Recombination, Atomic Energy Levels, Atomic Excitations, Electron Energy, Ionization Cross Sections, Metastable State, Plasma Density, Thermodynamic Equilibrium

Scientific paper

For the collisional-radiative model applied to helium, two alternative formulations are presented in which non-linear process such as ionization due to metastable-mestastable collisions may be included. The atomic data, including dielectronic recombination, employed in the calculations are summarized. The collisional-radiative calculation is applied to a positive-column plasma for which both the nonlinear processes and radiation trapping are taken into account. The calculated population densities of excited levels for a low-pressure and low-current discharge plasma show good agreement with a measurement made using the hook method. The population density distribution among excited levels is interpreted in terms of phases for the discharge plasma considered: the corona phase applies to the lower-lying levels and the quasi-saturation phase to the higher-lying levels. The importance of the ladder-like excitation-ionization mechanism is noted for this class of plasmas.

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