Super-transition-arrays - A model for the spectral analysis of hot, dense plasma

Mathematics

Scientific paper

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Dense Plasmas, Emission Spectra, High Temperature Plasmas, Laser Plasmas, Spontaneous Emission, Thermodynamic Equilibrium, Arrays, Atomic Structure, Computer Programs, Partitions (Mathematics), Plasma Diagnostics

Scientific paper

A method is presented for calculating the bound-bound emission from a LTE plasma. The total transition array of a specific single-electron transition, including all possible contributing configurations, is described by only a small number of super-transition-arrays (STAs). Exact analytic expressions are given for the first few moments of an STA. The method is shown to interpolate smoothly between the average-atom (AA) results and the detailed configuration accounting that underlies the unresolved transition array (UTA) method. Each STA is calculated in its own optimized potential, and the model achieves rapid convergence in the number of STAs included. Comparisons of predicted STA spectra with the results of the AA and UTA methods are presented. Under certain plasma conditions it is shown that the contributions of low-probability transitions can accumulate into an important component of the emission. Application of the STA method to laser-produced plasma experiments is discussed.

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