Optimization of Shell Implosion Driven by Black Body Radiation

We have studied a spherical ablative shell implosion under an assumption of a constant mass ablation rate. It is found that implosion dynamics is determined only by one parameter. The theory is applied to a shell implosion driven by a steady black body radiation and compared with computer simulations. We have estimated scaling laws of optimum aspect ratio and shell radius on the radiation intensity I R, which lead to the maximum hydrodynamic efficiency, as R 0/ΔR∝I R -1/2 and R 0∝R I 1/6.