基于多质点模型的准球形丝阵参数优化研究

基于多质点薄壳模型对准球形丝阵负载参数进行优化，使得终态等离子体具有预期的内爆特性。通过对丝阵初始位形优化，可以获得期望的终态等离子体壳纵横比，并且终态纵横比对负载初始质量变化不敏感。对于固定电流波形（峰值1.2 MA、上升时间80 ns），优化计算了初始丝长度15.4 mm的丝阵线质量。结果表明，当丝阵初始线质量约为150 g/cm时，赤道半径为2 mm、纵横比为1的终态等离子体壳具有最大动能1.5 kJ。同时，还针对不同幅度及上升时间的电流进行优化计算，计算结果表明终态等离子体壳的优化的最高动能与电流峰值平方成正比，与最高动能相应的线质量与电流上升时间平方成正比。

Parameter optimization of quasi-spherical wire-arrays based on multi-element model

Based on the multi-element thin-shell model, the parameters of the quasi-spherical wire-arrays are optimized to obtain the final plasma shells with anticipated implosion characters. By optimizing the initial wire-array geometry, we can implode the wire array to the final plasma shell with a suitable aspect ratio, and the aspect ratio is not sensitive to the initial load mass. For a given current shape with a peak current of 1.2 MA and a risetime of 80 ns, the linear density of the wire array with an initial length of 15.4 mm is optimized to maximize the final kinetic energy. Numerical results indicate that the final plasma shell with an equatorial radius of 2 mm and an aspect ratio of 1 obtains maximum kinetic energy 1.5 kJ when the initial linear density takes 150 g/cm. Optimization of the initial linear density is carried out for the current waveforms with different peak values and different risetimes, and the results indicate that the optimized maximum kinetic energy is proportional to the square of the current peak value and the corresponding linear mass is proportional to the square of the current risetime.