Abstract
I have performed computer simulations of high-density, spherical shells containing DT gas, irradiated by pulsed electron beams. For these targets, (1) the optimal shells are thick enough that few electrons reach their inner surface, (2) the low-level bremsstrahlung which penetrates the shell significantly affects the target performance, (3) breakeven requires about 1015 W deposited for 5 nsec. This represents a considerable improvement over the behavior of bare DT spheres; further improvements may reduce the power to 1014 W.