R. Ishizaki et K. Nishihara, PROPAGATION OF A RIPPLED SHOCK-WAVE DRIVEN BY NONUNIFORM LASER-ABLATION, Physical review letters, 78(10), 1997, pp. 1920-1923
A simple analytical model is presented to study hydrodynamic perturbat
ion growth in the start-up phase in laser fusion, namely propagation o
f a rippled shock driven by nonuniform laser ablation induced by initi
al target roughness or nonuniform laser irradiation. Analytical result
s agree quite well with experimental data for the rippled shock propag
ation in the case of uniform irradiation on a rough surface. Approxima
te formulas expressing both the time evolution of the shock front and
the asymptotic behavior of the ablation front are obtained in the weak
shock limit.