Space-time computation and visualization of the electromagnetic fields and potentials generated by moving point charges

M. Filipovich, S. Hughes
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引用次数: 1

Abstract

We present a computational method to directly calculate and visualize the directional components of the Coulomb, radiation, and total electromagnetic fields, as well as the scalar and vector potentials, generated from moving point charges in arbitrary motion with varying speeds. We explicitly calculate the retarded time of the point charge along a discretized grid which is then used to determine the fields and potentials. Our computational approach, implemented in Python, provides an intuitive understanding of the electromagnetic waves generated from moving point charges and can be used in conjunction with grid-based numerical modeling methods to solve real-world computational electromagnetics problems. The method can also be used to help students visualize problems related to moving potentials, which are often only treated analytically for very simple problems, and can be used to compute electromagnetic sources for non-trivial electron beams with other approaches in computational electromagnetics.
运动点电荷产生的电磁场和电势的时空计算与可视化
我们提出了一种计算方法来直接计算和可视化库仑,辐射和总电磁场的方向分量,以及标量和矢量势,由移动点电荷在任意运动中以不同的速度产生。我们明确地计算了点电荷沿离散网格的延迟时间,然后用它来确定场和势。我们的计算方法,用Python实现,提供了对移动点电荷产生的电磁波的直观理解,可以与基于网格的数值建模方法结合使用,以解决现实世界的计算电磁学问题。该方法还可用于帮助学生可视化与移动势有关的问题,这些问题通常只对非常简单的问题进行分析处理,并可用于与计算电磁学中的其他方法一起计算非平凡电子束的电磁源。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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