SN0253 : Calculation of Drift Distortion Due to Imperfections in a TPC Cylindrical Field Cage

Author(s):H. Wieman
Date:Aug. 5, 1996
File(s):sn0253.pdf| sn0253.ps.gz
Abstract:We derive a formula for the radial drift distortion using a solution to Laplace's equation for the standard solenoidal TPC (Time Projection Chamber) field cage design with two concentric cylinders with closed ends. The calculation method is applied to the STAR TPC to study a variety of possible defects. One real defect caused by reduced insulator resistance is also examined. The distortion induced by measured errors in this case is shown to be within the allowed distortion tolerance. We also study the effects of finite stripe width, random resistor chain error, shorted equipotential rings and potential mismatch at the end cap surface. The calculation method that we have developed works for rotationally symmetric errors in the potential along either the inner or outer filed cage cylindrical walls. This document is written in Mathcad+6.0 and is available as a program for calculating other drift distortion problems.
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Category:Technical