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arXiv 2511.08025physics.acc-ph
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光谱形式函数及其在束流物理中的应用

Spectral Form Function with Applications in Beam Physics

Xiujie Deng

AI总结:

本文将一维聚束因子推广为六维光谱形式函数(SFF)以描述粒子束相空间复杂结构,提出其基本性质、福克-普朗克方程及耦合线性晶格中的解,并展示在电子储存环和激光诱导微聚束中的应用。

摘要:

为描述粒子束内微聚束等纵向精细结构,经典方法是定义聚束因子,即粒子纵向密度分布的傅里叶变换。这种一维聚束因子定义可推广为六维光谱形式函数(SFF),以描述相空间中更复杂的结构。复值SFF是束流在谱域的另一种完整描述,能为通常采用实粒子密度分布的束流动力学研究提供互补且有价值的见解。本文介绍了SFF的基本性质和福克-普朗克方程,以及其在一般耦合线性晶格中的解,并展示了SFF在电子储存环物理和激光诱导微聚束中的应用实例。

英文摘要:

To describe longitudinal fine structure like microbunching within a particle beam, a classical approach is to define a bunching factor which is the Fourier transform of the particle longitudinal density distribution. Such a 1D definition of bunching factor can be generalized to a 6D spectral form function (SFF) to describe more complicated structure in phase space. The complex SFF is another complete description of beam in spectral domain and can offer complementary and valuable insight in beam dynamics study which usually invokes the real particle density distribution. The basic property and Fokker-Planck equation of the SFF is presented, along with its solution in a general coupled linear lattice. The example applications of SFF in electron storage ring physics and laser-induced microbunching are presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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