AI 中文总结
研究质子驱动等离子体尾波场，提出准静态近似下的一维非线性流体框架，经双束泵浦-探测配置检验，还缩放框架模拟CERN AWAKE设施参数，模型与实验匹配，为研究微束轮廓提供基础，优化变压器比。
AI 中文摘要
相对论质子束驱动的等离子体尾波场的分析建模是优化先进等离子体加速方案的一个要素。在这项工作中，我们提出了一个准静态近似下的一维非线性流体框架，以描述带正电质子驱动器激发的尾波势。我们使用双束泵浦-探测配置检验模型，证明了解析不变量与自适应数值积分之间的密切一致性。在微束边界观察到的明显几何曲率变化被证明是尾波势二阶导数在束界面处阶跃不连续的物理结果。此外，通过将这个数值框架缩放到一串经历种子自调制（SSM）的$N = 100$个微束，我们对CERN AWAKE设施的物理参数（$n_0 = ７.０×10^{14}\text{ cm}^{-3}$）进行建模。我们的模型复制了特征线性增长包络，并与从实验推断出的大约$\pm0.75\text{ GV/m}$的校准场包络边界相匹配。这个分段框架为研究定制的、不对称的微束轮廓提供了一个计算高效的基础，旨在将变压器比优化到超过基本对称极限2。
英文摘要
The analytical modeling of a plasma wakefield driven by a relativistic proton beam is an element in optimizing advanced plasma-based acceleration schemes. In this work, we present a 1D nonlinear fluid framework under the quasi-static approximation to describe the wake potential excited by a positively charged proton driver. We examine our model using a two-bunch pump-probe configuration, demonstrating close agreement between the analytical invariants and adaptive numerical integrations. The distinct geometric curvature changes observed at the micro-bunch boundaries are shown to be physical consequences of step-discontinuities in the second derivative of the wake potential across the beam interfaces. Furthermore, by scaling this numerical framework to a train of $N=100$ micro-bunches undergoing seeded self-modulation (SSM), we model the physical parameters of the CERN AWAKE facility ($n_0 = 7.0 \times 10^{14}\text{ cm}^{-3}$). Our model replicates the characteristic linear growth envelope and matches the calibrated field envelope boundaries of approximately $\pm 0.75\text{ GV/m}$ inferred from the experiment. This piece-wise framework provides a computationally efficient foundation for investigating customized, asymmetric micro-bunch profiles designed to optimize the transformer ratio beyond the fundamental symmetric limit of 2.
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