Spectroscopic Determination of Temperature and Density Spatial Profiles and Mix in Inertial Confinement Fusion Implosion Cores*

This work is focused on extracting temperature and density gradients from data obtained in indirect drive ICF implosions. Imaging was provided by the Multi-Monochromatic X-ray Imager (MMI). Two new spectroscopic techniques have been developed to characterize the core gradients. The emissivity ratio of Ly$\beta $/He$\beta $ is analyzed first to extract temperature, and either emissivity or intensity equations are then solved to infer density. The idea of solving intensity equations permits consideration of the opacity effect. In order to extract the mixing spatial profile, the optically-thick Ly$\alpha $ line is brought into the analysis. Two mix models have been used to independently estimate the level of mixing, and the results show reasonable agreement with the experimental data analysis.