Abstract. In this work, the theory of branching cascade processes is applied to the description of signal formation in cryogenic imaging detectors. The formula for the energy resolution of imaging detectors is derived. It is shown how the position information can improve the energy resolution of this type of detectors.
There are a number of processes in superconducting tunnel junction (STJ) detectors that lead to peak broadening. In many papers, semi-empirical approach is used to take into account the contribution of one or another factor to the signal variance of an STJ detector. The correct formula for the signal variance cannot be semiempirical at the researcher's option. It must result strictly from exact mathematical description of the particle registration by detector. In this work, using the theory of branching cascade processes the general expression for the energy resolution of STJ detector for optical photons and soft X-rays was derived. It was shown that the general formula encloses all specific contributions of the peak broadening published in literature and has additional contributions to the energy resolution caused by fluctuations of photon energy and of absorber temperature.
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