Quantification of MagLIF implosion morphology using the Mallat Scattering Transformation*

The morphology of the stagnated plasma resulting from  Magnetized Liner Inertial Fusion (MagLIF) is measured by imaging the self-emission x-rays coming from the multi-keV plasma, and the morphology of the imploding liner is measured by radiographs.  Equivalent diagnostic response can be derived from integrated rad-hydro simulations from programs such as Hydra and Gorgon.  There have been only limited quantitative ways to compare the image morphology, that is the texture, of simulations and experiments.  We have developed a metric of image morphology based on the Mallat Scattering Transformation, a transformation that has proved to be effective at distinguishing textures, sounds, and written characters.  This metric has demonstrated excellent performance in classifying ensembles of synthetic stagnations images and radiographs.  A good regression of the scattering coefficients to the parameters used to generate the synthetic images was found.  Finally, the metric has been used to quantitatively compare simulations to experimental images, and to estimate the parameters of the images with uncertainty.