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通过拉格朗日公式建立的爆轰区等离子体尾场广义理论

Generalized Theory of Blowout-Regime Plasma Wakefields via a Lagrangian Formulation

Y. Kang, P. Manwani, S. S. Baturin, G. Andonian, B. Naranjo, J. B. Rosenzweig

arXiv 2607.22473首次发表:更新:

AI 中文总结

研究等离子体尾场加速爆轰区,针对现有理论局限,利用简化拉格朗日公式将其推广到非轴对称,推导耦合方程组,能自洽预测相关场,经与粒子模拟对比,展现出描述非轴对称源驱动尾场的能力。

AI 中文摘要

等离子体尾场加速的爆轰区是一种强非线性等离子体响应,强相对论性束流或激光脉冲会排出等离子体电子,形成近乎均匀的离子柱。现有自洽理论主要在轴对称极限下描述此结构,将气泡动力学简化为单一径向自由度。这对于未来线性对撞机中控制光度和束流轫致辐射所需的具有高度不对称横向发射度的扁平束流来说是不够的。我们使用简化拉格朗日公式将现有理论推广到非轴对称情况,推导了由非对称束流驱动的尾场势的耦合方程组。该理论自洽地预测了聚焦场及其沿共动坐标的变化,以及加速场及其横向不均匀性。通过与粒子模拟结果对比,验证了该理论描述和解释非轴对称源驱动尾场的能力。

英文摘要

The blowout regime of plasma wakefield acceleration is a strongly nonlinear plasma response in which an intense relativistic beam or laser pulse expels plasma electrons forming a nearly uniform ion column. Existing self-consistent theories describe this structure primarily in the axisymmetric limit, reducing the bubble dynamics to a single radial degree of freedom. This restriction is inadequate for flat beams with highly asymmetric transverse emittances, as required in future linear colliders to control luminosity and beamstrahlung. Using a reduced Lagrangian formulation, we generalize the existing theory beyond axisymmetry and derive a coupled system of equations governing the wake potential driven by an asymmetric beam. This theory self-consistently predicts the focusing fields and their variation along the co-moving coordinate, as well as the accelerating field and its transverse nonuniformity. The resulting theoretical predictions are benchmarked against particle-in-cell simulations, demonstrating the theory's ability to describe and interpret wakefields driven by nonaxisymmetric sources.

Comments8 pages, 3 figures

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