An analytical model of shock wave multiple reflections in spherical pinch configuration

Summary form only given. Starting from the laser-induced gas breakdown at the center of a spherical cavity, different stages of plasma evolution and shock wave propagation are studied. During the explosive phase after the gas breakdown, the shock wave formation begins which departs from the main body of the plasma. After the end of the laser pulse the shock wave is considered to propagate in a self-similar way and the fire-ball density and temperature are calculated. The diverging shock wave is reflected back from the wall of the spherical cell and converges towards the center of the cavity. The interaction of the converging shock wave and the expanding plasma has been investigated which leads to an increase of plasma density and temperature. Subsequently the converging wave collapses at the center and an expanding shock wave moves radially outward and the process goes on.