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Simulation of Three Dimensional Electrostatic Field Configuration in Wire Chambers : A Novel Approach
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 (, defined as the
ratio of the length of the tube to its width ) and the wire modeling on
the field configuration. Detailed calculation has revealed that the field
values deviate from the analytic estimates significantly when the 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 () 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.Comment: Revised version submitted to Elsevier Science including some more
near-field calculation
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