Multi-Objective data analysis using Bayesian Inference for MagLIF experiments

The MagLIF concept [1] has recently demonstrated Gbar pressures and confinement of charged fusion products at stagnation [2,3]. We present a new analysis methodology that allows for integration of multiple diagnostics including nuclear, x-ray imaging, and x-ray power to determine the temperature, pressure, liner areal density, and mix fraction. A simplified hot-spot model is used with a Bayesian inference network to determine the most probable model parameters that describe the observations while simultaneously revealing the principal uncertainties in the analysis. [1] S.A. Slutz, et al., Phys. Plasmas \textbf{17}, 056303 (2010), [2] M.R. Gomez et al., Phys. Rev. Lett.113, 155003 (2014), [3] P.F. Schmit et al., Phys. Rev. Lett. 113, 155004 (2014)\\ \Sandia National Laboratories is a multimission laboratory managed and operated by National Technology and Engineering Solutions of Sandia, LLC., a wholly owned subsidiary of Honeywell International, Inc., for the U.S. Department of Energy's National Nuclear Security Administration under contract DE-NA-0003525.