Initial studies in the modelling of position resolving cryogenic detectors

In this paper, we describe some results in the modelling of a Cryogenic Detector. These detectors use the heat generated from an X-ray event to determine the eventʹs time and position. The model makes the basic assumption that the heat transport can be represented through by linear diffusion process and that the times at which the temperature changes reach the edge sensors can be used to determine the position of the event. The paper develops a finite element model of the device and performs a series of numerical experiments. The results of these experiments are compared with a simple analytic model. Two methods of determining the event position are presented: one based on an analytic solution and a second using neural network.