Simulation of three-dimensional electrostatic field configuration in wire chambers: A novel approach
Simulation of three-dimensional electrostatic field configuration in wire chambers: A novel approach
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DOI：
10.1016/j.nima.2006.06.035
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发表时间：
2006-04
影响因子：
1.4
通讯作者：
N. Majumdar;S. Mukhopadhyay
中科院分区：
文献类型：
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作者：
N. Majumdar;S. Mukhopadhyay
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沿着伸展组成的简单丝室的三维场位形。采用绿色函数法求解平面矩形表面上的静电势，得到了近似精确的静电场计算公式。求解器已被用来研究几个几何属性的效果，如纵横比（λ=l/d，定义为管的长度l与其宽度d的比值）和线模型上的字段配置。详细计算表明，当λ小于等于2时，场值与解析估计值有较大的偏差。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，包括在计算中的一个适当的表面数（1032）的准确性超过99%。已观察到的平滑度在三维场计算中相比，由其他方法产生的波动。
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=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 (⩾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.