Detectors 049
Detectors 049 : Particle Detectors: (4.1) (4) Pulse-Shape Analysis: As shown in the figure, results from the each stage of the calculation are stored in matrices which are later recalled to generate the pulse shape response which is determined by the charge carriers through the weighted field. The crystal volume is divided into cubic matrices for a given detector. For each position the values of the electrical potential, electric field and weighted field are calculated and the drift velocity matrices are calculated from the electric field matrix. The simulation of the pulse shape for the any arbitrary detector is shown in the figure 8. For a given detector, the crystal volume is divided into a cubic matrix of lattice sites. Values for the electric potential, electric field and weighting field are calculated at each position. The drift velocity matrices are calculated from the electric field matrix. The detector response for a given interaction site is calculated by tracking the trajectory of the charge carriers through the weighting field as shown in figure 8. The steps which should follow to compute the pulse shape response for a given interaction position in the detector volume are: (a) Specify the detector geometry. (b) Calculate the electric potential surfaces and electric field lines from the solution of the Poisson equation. (c) Implement the charge carrier transport in a semiconductor medium. (d) Calculate the trajectories of the charge carriers for arbitrary interaction positions. (e) Apply Ramo's theorem to recover the charge at the contacts. (f) Weight the potential and weight the field resolution
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