Parameter spaces of laser indirect-driven target by theoretic scaling laws
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摘要: 系统地梳理了激光间接驱动点火靶内爆压缩的物理过程，使用理论方法和一维流体力学模拟给出了靶丸内爆过程中的关键定标律公式。通过这些定标律公式获得了在给定黑腔辐射温度、飞行熵增因子、整形速度和烧蚀材料的条件下，靶丸装量——半径参数空间的点火岛区域。研究了靶丸性能参数随辐射温度、飞行熵增因子等的变化规律：当靶丸所处黑腔辐射温度升高时，内爆的稳定性将变好；设计上在靶丸装量不变的条件下，靶丸半径需要减小。当靶丸的飞行熵增因子增大时，内爆增益略微减小，内爆稳定性变好；但是点火阈值因子减小导致点火岛的区域变窄。当靶丸的整形速度增大时，点火岛的区域略微变大，内爆稳定性变化不显著；设计上在靶丸装量不变的条件下，需要增大靶丸半径，这会导致靶丸壳层形状因子变大。当改变靶丸烧蚀材料，提高质量烧蚀速率与烧蚀压时，能量增益变大且稳定性增强；设计上在靶丸装量不变的条件下，需要减小靶丸半径。Abstract: This paper studies settles systematically the physical process of the laser indirect-driven ignition target implosion. The theoretical methods and one-dimensional hydro-dynamics simulations are used to give key scaling laws in capsule implosion. Based on these scaling laws, the volcanic islands of capsule mass-radius parameter space are obtained under the given conditions of hohlraum radiation temperature, in-flight adiabat, shaping velocity and ablator material. The variations in performance parameters with radiation temperature, in-flight adiabat, etc. are investigated. When the hohlraum radiation temperature increaseds, the stability of the capsule implosion will be better. And the capsule radius needs to be decreased under the condition that the mass is constant. When the in-flight adiabat increases, the energy gain decreases slightly and the stability becomes better. However the reduction in the one-dimensional ignition threshold factor results in a narrowing of the area of the volcanic island. When the shaping speed increases, the area of the volcanic island becomes slightly larger, and the stability change is not significant. The capsule radius needs to be increased under the condition that the capsule mass is constant, which causes larger aspect ratio. When the shell ablator material is changed to improve the mass ablation rate and the ablation pressure, the energy gain is larger and the stability is better. The capsule radius needs to be decreased under the condition that the capsule mass is constant.
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Key words:
- laser fusion /
- indirect-driven /
- implosion dynamics /
- capsule design /
- scaling law
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图 3 剩余质量比δ和点火阈值因子ITF1D在靶丸装量——半径参数空间中的变化及点火岛区域
Figure 3. The contour of residual mass fraction δ and ignition threshold factor ITF1D in the capsule mass-radius parameter space and the volcanic islands
图 6 不同辐射温度下性能参量的比较
Figure 6. The comparisons of parameters in different radiation temperatures
图 8 不同飞行熵增下性能参量的比较
Figure 8. The comparisons of parameters in different in-flight adiabat
图 10 不同整形速度下性能参量的比较
Figure 10. The comparisons of parameters in different shaping velocity
图 12 不同靶丸烧蚀材料下性能参量的比较
Figure 12. The comparisons of parameters in different ablator material
表 1 不同材料的烧蚀定标律系数
Table 1. The parameters for different ablator materials
materials a/(g·cm-2·μs·heV-3) b/(Mbar·heV-3.5) CH 0.30 3.0 Ge-doped CH 0.35 3.5 HDC 0.50 5.0 Cu-doped Be 0.75 7.5 
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