Development of spectroscopic tools for the determination of temperature and density spatial profiles in implosion cores

Two innovative spectroscopic techniques have been developed to characterize the temperature and density spatial profiles of Inertial Confinement Fusion (ICF) implosion cores. The analyses involve the emissivity ratio of Lyβ/Heβ to extract temperature, followed by the solution of either emissivity or intensity equations based on the Lyβ or Heβ line to infer density. In particular, the idea of solving intensity equations permits the consideration of the effects of opacity. Information on turbulent mixing of the shell material into the core can be extracted by including the optically-thick Lyα line in the intensity analysis. We focus on developing and validating these spectroscopic tools using synthetic data. Hydrodynamic simulations matching the experimental conditions are used to test the codes and to demonstrate the validity of the physical principles in our spectroscopic techniques.