Statistical fitting analysis of Stark-broadened optically thick Ar II spectra measured in ion beam transport experiments.

Mathematics – Probability

Scientific paper

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Argon: Laboratory Spectra, Argon: Stark Broadening

Scientific paper

The authors present a method for fitting a multi-line spectrum with an emission model that accounts for multiple line-broadening mechanisms and the effects of finite optical depth. This technique includes an analysis of the joint-probability distribution of the model parameters that allows one to determine statistically valid confidence limits on the fitted parameters. The authors apply this method to a time series of optical Ar II spectra produced when an intense lithium beam (kinetic energy of 9 MeV and current density of 22 kA cm-2) was injected into an argon gas cell. The authors show that line optical depth effects are important in these data, and by including finite optical depth as well as Stark and Doppler broadening in the model-fitting procedure, they are able to place meaningful constraints on the time-dependent Ar II level populations and the electron density in the gas cell. The values the authors derive for these quantities are in reasonably good agreement with detailed collisional - radiative models that include the effects of non-thermal electrons and beam ions. Understanding the time-dependent conditions in the gas cell is critical for efficient beam transport.

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