Proton radiography measurements and models of ejecta structure in shocked Sn

We present the experimental validation of ejecta source, mass and velocity models using proton radiography. Ejecta mass and velocity measurements were performed under 7 atm of He gas on Sn targets with 4 concentric sinusoidal features with radial wavelength of λ=2 mm and amplitude η0= 0.159 mm. 42 images at 275 and 400 ns intervals were obtained between 0 and 14 µs from the time of shock breakout. Volume density profiles for the spikes were determined through Abel inversion and spike, bubble and surface velocities were determined using proton radiography and also verified through Photon Doppler Velocimetry (PDV). Ejecta sheets evolve to a self-similar density distribution that depends on a scaling variable z/η˙st where η˙s is the spike tip velocity, z is the distance from the free surface and t is the time after shock breakout. Both the density profiles and the time dependence of the mass per unit area in the evolving spikes are in good agreement with a Richtmyer-Meshkov instability based model for ejecta production and evolution.