Backward Integration Method for Multilayer Target Quasi-Isentropic Compression Experiments
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摘要: 针对磁驱动和激光驱动准等熵压缩实验物理中多层结构靶设计和实验数据处理的需求，在反积分处理方法的基础上，提出了多层靶的层间传递方法，实现了多层靶内加载历史的反演计算。通过正、反积分数值实验以及激光驱动实验的正、反计算，验证了多层靶中反积分数据处理方法的有效性，在绝大部分计算范围内，多层靶的反积分处理精度可以达到1%以内。利用反积分方法开展了多层靶物理实验的波形设计，并分析了不同厚度胶层的多层靶对斜波加载实验的影响。Abstract: According to the requirements of target structure design and experimental data processing in multilayer target quasi-isentropic compression experiments, an interlayer transfer method for multilayer targets was proposed based on the backward integration method, the backward calculation of multilayer targets from the measuring surface to the loading surface or laser ablation surface was realized. Through the forward and backward integration numerical experiments and the application in laser driven experiment, the effectiveness of the backward integration method in multilayer targets was verified, and the backward integration processing accuracy of multilayer targets can reach within 1% in most of the calculation area. The waveform design of quasi-isentropic compression multilayer target experiments was carried out by backward integration method, and the influence of multilayer targets with different thicknesses of glue on quasi-isentropic compression experiments was analyzed.
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Key words:
- quasi-isentropic compression /
- multilayer target /
- backward integration /
- laser driven /
- glue layer
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图 1 多层结构靶示意图(a)与多层结构靶中反积分的计算流程(b)
Figure 1. Structure of multilayer target (a) and flow chart of backward integration method in multilayer target (b)
图 2 以两侧为铝的夹层样品为例的正、反积分法计算得到的各界面的压力历史（从上到下分别为加载面（红色）、夹层前后界面和后测量面（蓝色））：(a) Al-Cu-Al靶材料，Cu材料的阻抗约为两侧Al材料阻抗的3倍；(b) Al-CH-Al靶材料，CH材料的阻抗约为两侧Al材料阻抗的1/3；(c) 反积分法计算的加载面压力与初始加载压力的相对差异
Figure 2. Pressure histories on loading surface from forward integration (FI) and backward integration (BI), the top curves (red) are correlated to loading surface and the bottom curve (blue) is the rear measured surface: (a) Al-Cu-Al target, the impedance of Cu material is about 3 times that of Al material; (b) Al-CH-Al target, the impedance of CH material is about 1/3 times that of Al material; (c) relative discrepancy between the loading surface pressure from backward integration and initial loading pressure
图 4 激光驱动多层靶中界面1与界面2之间Al层的反积分计算结果
Figure 4. Backward integration calculated results of Al layer on laser driven multilayer targets between the interface 1 and interface 2
图 5 激光驱动多层靶反积分计算结果：(a) 压力等高云图，(b)多层靶各界面处压力历史的正、反积分计算结果
Figure 5. Backward integration calculated result of laser driven multilayer target: (a) pressure contour, (b) pressure histories of interfaces calculated by forward/backward integration method
图 6 选择不同积分面与CFL数时的反积分计算结果：(a) 应力曲线和偏差值，(b)偏差较大时的低压段计算结果
Figure 6. Multilayer backward integration with different numerical method and CFL number: (a) pressure curve and derivation value, (b) the low-pressure section data with larger deviation
图 7 考虑不同胶层厚度的多层靶的反积分压力云图：(a) 0.1
$ \text{μ}\mathrm{m} $ ，(b) 1.0$ \text{μ}\mathrm{m} $ ，(c) 5.0$ \text{μ}\mathrm{m} $ ，(d) 10.0$ \text{μ}\mathrm{m} $ Figure 7. Pressure contours of multilayer baseplate with different glue thicknesses: (a) 0.1
$ \text{μ}\mathrm{m} $ , (b) 1.0$ \text{μ}\mathrm{m} $ , (c) 5.0$ \text{μ}\mathrm{m} $ , (d) 10.0$ \text{μ}\mathrm{m} $ -
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