dorsal/arxiv
View SchemaSimulation of Three Dimensional Electrostatic Field Configuration in Wire Chambers : A Novel Approach
| Authors | N. Majumdar, S. Mukhopadhyay |
|---|---|
| Categories | |
| ArXiv ID | physics/0604030 |
| URL | https://arxiv.org/abs/physics/0604030 |
| DOI | 10.1016/j.nima.2006.06.035 |
| Journal | Nucl.Instrum.Meth.A566:489-494,2006 |
Abstract
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 ($\lambda = \frac{l}{d}$, 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 $\lambda$ 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.
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"abstract": "Three dimensional field configuration has been simulated for a simple wire\nchamber consisting of one anode wire stretched along the axis of a grounded\nsquare cathode tube by solving numerically the boundary integral equation of\nthe first kind. A closed form expression of potential due to charge distributed\nover flat rectangular surface has been invoked in the solver using Green\u0027s\nfunction formalism leading to a nearly exact computation of electrostatic\nfield. The solver has been employed to study the effect of several geometrical\nattributes such as the aspect ratio ($\\lambda = \\frac{l}{d}$, defined as the\nratio of the length $l$ of the tube to its width $d$) and the wire modeling on\nthe field configuration. Detailed calculation has revealed that the field\nvalues deviate from the analytic estimates significantly when the $\\lambda$ is\nreduced to 2 or below. The solver has demonstrated the effect of wire modeling\non the accuracy of the estimated near-field values in the amplification region.\nThe thin wire results can be reproduced by the polygon model incorporating a\nmodest number of surfaces ($\\geq 32$) in the calculation with an accuracy of\nmore than 99%. The smoothness in the three dimensional field calculation in\ncomparison to fluctuations produced by other methods has been observed.",
"arxiv_id": "physics/0604030",
"authors": [
"N. Majumdar",
"S. Mukhopadhyay"
],
"categories": [
"physics.ins-det",
"physics.comp-ph"
],
"doi": "10.1016/j.nima.2006.06.035",
"journal_ref": "Nucl.Instrum.Meth.A566:489-494,2006",
"title": "Simulation of Three Dimensional Electrostatic Field Configuration in Wire Chambers : A Novel Approach",
"url": "https://arxiv.org/abs/physics/0604030"
},
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