弯曲束流管中运动源产生的电磁场
Electromagnetic Fields Produced by Moving Sources in a Curved Beam Pipe
摘要：
本文提出了一种新的几何微扰法，用以计算在非直线理想导电束管内作预定运动的带电源所产生的电磁场。管道被视为受扰动的无限长空心直圆柱体。扰动保持管道的圆形横截面，同时将其轴变形为具有非恒定曲率的平面空间曲线。考虑了各种带电源模型，包括带电聚束和离轴点粒子。在超相对论极限下，这允许用管道半径和任意变化的轴向空间曲线曲率的乘积的幂来计算纵向尾流势。本文给出了有限长圆弧连接直管段的分段定常曲率束流管模型的首阶解析表达式。语言的微分形式是使用整个和说明的权力，这种形式主义的教学介绍是由推导理论从头开始麦克斯韦方程表示内在的微分系统（闵可夫斯基）时空。
英文摘要：
A new geometrical perturbation scheme is developed in order to calculate the electromagnetic fields produced by charged sources in prescribed motion moving in a non-straight perfectly conducting beam pipe. The pipe is regarded as a perturbed infinitely long hollow right-circular cylinder. The perturbation maintains the pipe's circular cross-section while deforming its axis into a planar space-curve with, in general, non-constant curvature. Various charged source models are considered including a charged bunch and an off-axis point particle. In the ultra-relativistic limit this permits a calculation of the longitudinal wake potential in terms of powers of the product of the pipe radius and the arbitrarily varying curvature of the axial space-curve. Analytic expressions to leading order are presented for beam pipes with piecewise defined constant curvature modelling pipes with straight segments linked by circular arcs of finite length. The language of differential forms is used throughout and to illustrate the power of this formalism a pedagogical introduction is developed by deriving the theory ab-initio from Maxwell's equations expressed intrinsically as a differential system on (Minkowski) spacetime.
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