气体电离探测器中近精确三维静电场的计算
Computation of Nearly Exact 3D Electrostatic Field in Gas Ionization Detectors
摘要：
本文采用一种高效、精确的近精确边界元法（NEBEM）求解第一类积分方程，模拟了气体电离探测器中的三维静电场结构。这最近提出的制定边界元法和由此产生的求解器使用精确的格林函数的解析积分计算的静电电位满足泊松方程的平面上的电荷分布。因此，尽管使用了相对粗糙的离散化，但仍然获得了非常精确的结果，从而成功验证了二维MWPC的分析结果。在静电场配置中以及在MWPC的阳极线所经历的力上已经观察到显著的三维效应。为了说明NEBEM求解器的探测器几何形状具有多个反射和退化表面的适用性，它已被验证对类似的几何形状的可用的FEM和BEM数值解。
英文摘要：
The three-dimensional electrostatic field configuration in gas ionization detectors has been simulated using an efficient and precise nearly exact boundary element method (NEBEM) solver set up to solve an integral equation of the first kind. This recently proposed formulation of BEM and the resulting solver use exact analytic integral of Green function to compute the electrostatic potential for charge distribution on flat surfaces satisfying Poisson's equation. As a result, extremely precise results have been obtained despite the use of relatively coarse discretization leading to successful validation against analytical results available for two-dimensional MWPCs. Significant three dimensional effects have been observed in the electrostatic field configuration and also on the force experienced by the anode wires of MWPCs. In order to illustrate the applicability of the NEBEM solver for detector geometries having multiple dielectrics and degenerate surfaces, it has been validated against available FEM and BEM numerical solutions for similar geometries.
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