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Direct-drive is an important approach to achieving the ignition of inertialconfinement fusion. To enhance implosion performance while keeping the risk ofhydrodynamic instability at a low level, we have designed a procedure tooptimize the parameters of the target doped with mid- or high-$Z$ atoms. In theprocedure, a one-dimensional implosion can be automatically simulated, whileits implosion performance and high-dimensional instability are integrallyevaluated at the same time. To find the optimal doping parameters, theprocedure is performed in the framework of global optimization algorithm, wherewe have used the particle swarm optimization in the current work. In theoptimization, the opacity of mixture materials is quickly obtained by using aninterpolation method, showing only a slight difference from the data of TOPS,which is an online doping program of Los Alamos National Laboratory. To testthe procedure, optimization has been carried out for the CH ablator in thedouble cone ignition scheme [Phil. Trans. R. Soc. A. 378.2184 (2020)] by dopingwith Si and Cl. Both one- and two-dimensional simulations show that doping witheither Si or Cl can efficiently mitigate the instability during theacceleration phase and does not result in significant degradation of the peakareal density. The results from one- and two-dimensional simulationsqualitatively match with each other, demonstrating the validity of ouroptimization procedure.

Optimizing doping parameters of target to enhance direct-drive implosion