AI 中文总结
研究飞行聚焦逆康普顿散射中电子与激光对准及同步误差对光子产率的影响，通过建立半解析模型，考虑多种抖动因素，经系综平均和坐标积分简化问题，可快速评估工作点并定义公差。
AI 中文摘要
飞行聚焦激光脉冲可通过控制聚焦强度轨迹来延长逆康普顿源中的有效相互作用长度。但其实际优势取决于对逐次电子 - 激光对准和同步误差的容忍度。我们为轴对称高斯电子束与飞行聚焦激光脉冲的迎面逆康普顿散射中的逐次平均总光子产率建立了一个半解析模型。该模型包括有限电子束发射度、激光衍射、横向激光质心抖动、纵向焦点位置抖动以及在标称相互作用点的激光到达时间抖动。通过对这些独立高斯误差进行系综平均并对纵向电子和激光坐标进行积分，将重叠问题简化为单个正数值求积。此公式能够快速评估抖动鲁棒的工作点，并为定义飞行聚焦逆康普顿源中的对准和同步公差提供了一个紧凑工具。
英文摘要
Flying-focus laser pulses can extend the effective interaction length in inverse Compton sources by controlling the trajectory of the focal intensity. Their practical advantage, however, depends on tolerance to shot-to-shot electron--laser alignment and synchronization errors. We develop a semi-analytical model for the shot-averaged total photon yield in head-on inverse Compton scattering of an axisymmetric Gaussian electron bunch with a flying-focus laser pulse. The model includes finite electron-beam emittance, laser diffraction, transverse laser-centroid jitter, longitudinal focus-position jitter, and laser arrival-time jitter at the nominal interaction point. The ensemble averaging over these independent Gaussian errors and the integration over the longitudinal electron and laser coordinates are performed analytically, reducing the overlap problem to a single positive numerical quadrature. This formulation enables rapid evaluation of jitter-robust operating points and provides a compact tool for defining alignment and synchronization tolerances in flying-focus inverse Compton sources.
Comments13 pages, 2 figures
