Motivated by the various shapes and configurations of detectors used in modern gamma arrays, for the first time in literature, we have investigated the operation of a composite detector comprising of elements arranged in the shape of a pyramid. A probabilistic formalism is introduced to predict the response of two, three and four level pyramid shaped composite detector in terms of only one probability amplitude. Considering up to four detector hit events, expressions for the addback factor and the peak-to-total ratio have been obtained. The general trend of predicted values of the addback factor, the peak-to-total ratio and the fold distribution match with the available experimental data for other composite detectors. Our novel phenomenological approach could provide a guidance in designing new detectors for gamma-ray spectroscopy.
A didactic approach has been presented for the understanding of operation of the stacked or series combination of gamma-ray detectors. Assuming isotropic scattering of gamma-rays, we have obtained expressions for the addback factor in terms of only one probability. Using the experimental data of the HHS spectrometer, we have predicted the addback factor for various stacked detectors. This generalised technique could be used to predict the performance parameters of a stacked detector with any number of elements. Other than simulation studies, we present an intuitive way of understanding the operation of series detectors.
We have presented a probabilistic formalism for predicting the response of the series and parallel combination of gamma-ray detectors arranged in the form of a matrix. Assuming isotropic scattering of incident gamma-rays and considering up to four detector hit events, we have obtained expressions for the addback factor and the peak-to-total ratio (in the addback mode) in terms of only one probability. Using the experimental data of the HHS spectrometer, we have predicted the addback factor for four composite detectors. Predicted values of addback factor and fold distribution show a reasonable agreement with the experimental ones for the clover detector.
We report the investigation of the module-wise absorptions of a sixteen element composite detector arranged in the shape of a four level pyramid. Using the simplifying assumptions of the isotropic scattering of gamma-rays, equal absorption probabilities of successive gamma scatterings inside the detector, and up to fourth order interactions of gamma-rays, the gamma-ray absorptions in each module of the composite detector are studied. This basic study gives us a quantitative estimate of the contribution of each module to the full energy peak efficiency during the addback mode. Predictions have been compared with that of the four element stacked detector.
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