Dynamical Properties of Charge-Dividing Proportional Counters

摘要

Pulse shapes of currents in proportional counters are calculated for cases where the incident particle might pass at different distances from the wire. The pulse propagation along a resistive wire is treated with the help of Laplace transforms. The current as well as the collected charge on the ends of the counter are given. This work differs from the excellent treatment of the problem by Radeka by deriving compact analytic expressions for current rise and charge division of the appropriate pulse shapes, which can be handled even on a pocket calculator. Finally, the dynamic input resistances of amplifiers, which influence the precision of charge measurement, are evaluated. (Atomindex citation 13:703585)