Charge Dividing Mechanism on Resistive Electrode in Position-Sensitive Detectors

A complete charge-division mechanism, including both the diffusion and the electromagnetic wave propagation on resistive electrodes, is presented. The charge injected into such a transmission line divides between the two ends according to the ratio of resistancies and independently of the value of the line resistance, of the propagation mechanism and of the distribution of inductance and capacitance along the line. The shortest charge division time is achieved for Rl, = 2π (L/C)½, where R, L, C are resistance, inductance and capacitance per unit length and l is the length of the line.