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arXiv physics/0604030physics.ins-detphysics.comp-ph
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一种模拟丝室三维静电场分布的新方法

Simulation of Three Dimensional Electrostatic Field Configuration in Wire Chambers : A Novel Approach

N. Majumdar, S. Mukhopadhyay

摘要:

本文通过数值求解第一类边界积分方程,模拟了由一根阳极丝沿接地方形阴极管轴线伸展而成的简单丝室的三维场位形。在求解过程中,采用格林函数法,导出了矩形平面上电荷分布的电势的封闭表达式,从而得到了接近精确的静电场计算结果。求解器已被用来研究几个几何属性的效果,如纵横比($λ= \frac{l}{d}$,定义为管的长度$l$与其宽度$d$的比率)和线建模上的字段配置。详细计算表明,当$λ$减小到2或更低时,场值明显偏离分析估计。求解器已经证明了线建模对放大区域中估计的近场值的准确性的影响。细线的结果可以复制的多边形模型,将适度数量的表面($\geq 32$)在计算中的准确性超过99%。已观察到的平滑度在三维场的计算相比,由其他方法产生的波动。

英文摘要:

Three dimensional field configuration has been simulated for a simple wire chamber consisting of one anode wire stretched along the axis of a grounded square cathode tube by solving numerically the boundary integral equation of the first kind. A closed form expression of potential due to charge distributed over flat rectangular surface has been invoked in the solver using Green's function formalism leading to a nearly exact computation of electrostatic field. The solver has been employed to study the effect of several geometrical attributes such as the aspect ratio ($λ= \frac{l}{d}$, defined as the ratio of the length $l$ of the tube to its width $d$) and the wire modeling on the field configuration. Detailed calculation has revealed that the field values deviate from the analytic estimates significantly when the $λ$ is reduced to 2 or below. The solver has demonstrated the effect of wire modeling on the accuracy of the estimated near-field values in the amplification region. The thin wire results can be reproduced by the polygon model incorporating a modest number of surfaces ($\geq 32$) in the calculation with an accuracy of more than 99%. The smoothness in the three dimensional field calculation in comparison to fluctuations produced by other methods has been observed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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