In inertial confinement fusion, the primary approach to achieve fusion ignition condition is through the implosion of a spherical target capsule. This implosion process can be effectively described using the rocket model
1, 2, which provides insights into the relationship between implosion velocity, hydrodynamic efficiency, and other relevant physical quantities. The rocket model serves as a valuable guide in optimizing the energy conversion process within implosion physics. Figure 1 illustrates the correlation between hydrodynamic efficiency and normalized exhaust mass. Considering the steady-state ablation process, a set of interconnected equations based on the rocket model has been developed. These equations incorporate radiation ablation parameters derived from 1D radiation hydrodynamics simulations. By solving this equation system, we can strategically design target capsule parameters to improve implosion performance under steady-state ablation condition, aiming to achieve superior rocket efficiency and improved implosion characteristics.

Figure 1. Hydrodynamic efficiency versus normalized exhaust mass
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[1] M. Murakami and K. Nishihara, Japanese Journal of Applied Physics
26, 1132-1145 (1987).
[2] M. Murakami, K. Nishihara and H. Takabe, Laser and Particle Beams
7 (2), 189-205 (1989).