Aspects of dynamically enhanced electromagnetic fields from charged relativistic sources in a beam pipe
Aspects of dynamically enhanced electromagnetic fields from charged relativistic sources in a beam pipe
复制标题
束管中带电相对论源动态增强电磁场的各个方面
DOI：
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发表时间：
2009
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影响因子：
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通讯作者：
A. Hale
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文献类型：
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作者：
A. Hale
空间和频谱内容的电磁场产生的带电源在规定的运动，移动在无限长的圆柱形束管与完美的导电边界条件，研究为了了解动态.场效应。在超相对论极限解析场解麦克斯韦方程组确定在时域和频域中，在该领域探索各种非随机和随机多脉冲源配置。它们的频率行为被证明是有界的信封和各种功能是直接相关的源配置结构。谱能量密度和谱横向场强具有与谱功率不同的频率响应特性。的.字段被发现数值为单脉冲源，这不一定是超相对论性的，为恒定速度和双曲线加速源。方程以无量纲形式表示，以帮助数值效率。在超相对论极限中，可以看出纵向.场可以忽略不计，与之相反的是，横向场的大段塞与源共同运动，并存在于其整个纵向空间范围内。离开超相对论极限，所有的场都在源的空间范围之外纵向展开，而且纵向的.场也不再是微不足道的;所有这些.场都表现出复杂的振荡动力学。该模型基于从麦克斯韦方程导出的理论，使用微分形式的语言将其表达为闵可夫斯基时空上的微分系统。沿着与边界条件，模式结构的线性系统的.场方程的开发，最终在电报型方程的源，其解决方案使系统的横向和纵向的磁场和电场的束管被发现为一个源的一般电荷分布.
The spatial and spectral content of electromagnetic …fields produced by charged sources in prescribed motion, moving in an infinitely long cylindrical beam pipe with perfect electrically conducting boundary conditions, is investigated in order to understand dynamic …field effects. In the ultra-relativistic limit analytic field solutions to Maxwell’s equations are determined in both the time and frequency domains, where the fields are explored for various non-stochastic and stochastic multiple pulse source configurations. Their frequency behaviour is shown to be bounded by envelopes and various features are directly related to the source configuration structure. The spectral energy density and spectral transverse field strength are found to have similar frequency response characteristics which differ from those of spectral power. The …fields are found numerically for single pulse sources, which are not necessarily ultra-relativistic, for both constant velocity and hyperbolic accelerating sources. The equations are expressed in a dimensionless form to aid numerical efficiency. In the ultra-relativistic limit it is seen that the longitudinal …fields are negligible, in contrast with the large slug of transverse field which is co-moving with the source and exists over its entire longitudinal spatial extent. Away from the ultra-relativistic limit all the fields spread out longitudinally beyond the spatial extent of the source and also the longitudinal …field is no longer insignificant; all these …fields exhibit complicated oscillatory dynamics. The model is based on theory derived from Maxwell’s equations, expressed as a differential system on Minkowski spacetime using the language of differential forms. Along with boundary conditions, the mode structure of the linear system of …field equations is developed, culminating in a telegraph-type equation with source, whose solution enables the system of equations for the transverse and longitudinal magnetic and electric …fields in the beam pipe to be found for a source with a general charge pro…file.