Analysis of cylindrical proportional counter pulses transmission through differentiating and integrating circuits

The numerical estimations of the effect of the length and orientation of the charged particle track on the shape and amplitude of pulses, passed tough the shaping circuits, are presented. The results are calculated for the following parameters of a counter with the argon-methane gaseous mixture: the anode radius is 0.001 cm, the cathode radius is 4.5 cm, the filling gas pressure is 760 mm Hg, the anode filament voltage is 1800 V, the gaseous ion mobility is 1.6 cm2 V-1s-1. The pulse amplitudes, corresponding to point and extended ionization, which have passed through the differentiating and integrating circuits. It is shown that tracks, having equal energy releases but different orientation with respect to the counter anode filament, can lead to formation of such pulses at the shaping circuit output, which considerably differ in amplitudes and have different pulse rise times. These effects can worsen the spectrometer resolution