Mathematical modelling of the performance of a MWPC

Abstract

We have implemented the Erskine formalism for signal development to study in detail the main operational characteristics of a MWPC with a cathode read-out, for both point-like and extended ionization tracks. A parametrization has been made of the width of the cathode charge distribution and of the ratio of cathode charge over tottal avalanche charge to be applied for a general class of MWPCs. The integral and the differential nonlinearity of position measurements based on the calculation of the centroid of the cathode signals has been studies as a function of the width of the cathode read-out strips. Left-right and top-bottom assignment capability and interpolation between anode wires has been modelled. The possibility of measuring the angle of incidence of an ionizing particle with a delay-line cathode read-out is suggested.