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逆康普顿散射的宏观经典与量子模型

Macroscopic Classical and Quantum Models of Inverse Compton Scattering

Emerson Rogers

arXiv 2609.26799首次发表:更新:

发表机构

Old Dominion University(老多米尼昂大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出基于量子电动力学的相干态框架,为逆康普顿散射推导闭式解析谱,无需模拟,经典极限精确恢复朗道-利夫希茨动力学,并验证于实验数据。

AI 中文摘要

逆康普顿源——其中相对论电子束散射激光脉冲以产生可调谐、准直的高能辐射——已成为有前景的紧凑型辐射源,应用于核光子学、医学成像和纳米尺度计量学。随着激光强度增加和电子能量增长,相互作用进入辐射反作用区域,其中电子辐射的能量占其动能的显著比例。从第一性原理预测散射电子能谱仍然是一个未解决的问题。现有模型要么是需要大规模多粒子模拟的经典运动方程,要么是依赖于有效性不确定的近似且具有相同模拟负担的量子模型。没有一个直接产生光谱预测。本论文提出了一种解决这一缺陷的新框架。激光脉冲被表示为电磁场的相干量子态,电子束被表示为编码其动量分布的统计量子态——这是量子电动力学中粒子-场散射的自然实现。对于高斯激光脉冲,推导出散射光谱的闭式解析表达式,无需模拟、无需对激光场分布进行近似、无需大粒子系综。经典极限精确恢复朗道-利夫希茨动力学,确立了相干态模型作为经典辐射反作用理论的量子电动力学实现。该框架针对现有实验数据进行了验证,并识别和分析了所有当前建模方法的基本结构局限性。

英文摘要

Inverse Compton sources --- in which a relativistic electron beam scatters a laser pulse to produce tunable, collimated, high-energy radiation --- have emerged as promising compact radiation sources, with applications in nuclear photonics, medical imaging, and nanoscale metrology. As laser intensities increase and electron energies grow, the interaction enters the radiation reaction regime, where the energy radiated by the electron becomes a significant fraction of its kinetic energy. Predicting the scattered electron energy spectrum from first principles has remained an unsolved problem. Existing models are either classical equations of motion requiring large-scale multiparticle simulation, or quantum models relying on approximations of uncertain validity with the same simulation burden. None directly produce a spectral prediction. This dissertation presents a novel framework that resolves this deficiency. The laser pulse is represented as a coherent quantum state of the electromagnetic field and the electron beam as a statistical quantum state encoding its momentum distribution --- the natural realization of particle-field scattering within quantum electrodynamics. For a Gaussian laser pulse, a closed-form analytic expression for the scattered spectrum is derived requiring no simulation, no approximation of the laser field profile, and no large particle ensembles. The classical limit recovers Landau-Lifshitz dynamics exactly, establishing the coherent-state model as the quantum electrodynamic realization of classical radiation reaction theory. The framework is validated against existing experimental data, and fundamental structural limitations of all current modeling approaches are identified and analyzed.

CommentsPhD dissertation, Old Dominion University, August 2026

论文原文

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