Abstract
An analytical model for the implosion of a two-layer spherical shell target driven by a two-step pressure pulse is developed. The process of formation of the central spark is approximately described and the effect of the prepulse on the final stage of fuel and pusher is studied. The size of the central spark is determined by the thermal conduction, and scaling laws relating the temperature and density of the spark with the parameters of the fuel and the pulse are found. These scaling laws can be useful in the design of high-gain targets for inertial confinement fusion.
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