矩形波导中介质层上电荷分布产生的层电场分析
Analysis of the electrostratic field generated by a charge distribution on a dielectric layer loading a rectangular waveguide
摘要:
本文研究介质加载矩形波导中介质层上任意电荷分布引起的静电场。为了获得该静电场,预先求解由于电介质层上的点电荷引起的电势。这个问题的高计算复杂性需要使用不同的数值积分技术(例如Filon,Gauss-Kronrod,Lobatto,.)和插值方法。利用叠加原理,通过将每个点电荷的单独贡献相加,得到了介质层上任意电荷分布所产生的电势。最后,对电势进行数值微分,得到波导中的静电场。这个静电问题的结果将被扩展到模拟的二次电子倍增效应,这是一个非常感兴趣的问题,在航天工业。
英文摘要:
The goal of this paper is to study the electrostatic field due to an arbitrary charge distribution on a dielectric layer in a dielectric-loaded rectangular waveguide. In order to obtain this electrostatic field, the potential due to a point charge on the dielectric layer is solved in advance. The high computational complexity of this problem requires the use of different numerical integration techniques (e.g. Filon, Gauss-Kronrod, Lobatto, ...) and interpolation methods. Using the principle of superposition, the potential due to an arbitrary charge distribution on a dielectric layer is obtained by adding the individual contribution of each point charge. Finally, a numerical differentiation of the potential is carried out to obtain the electrostatic field in the waveguide. The results of this electrostatic problem are going to be extended to model the multipactor effect, which is a problem of great interest in the space industry.
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